Selected Polyatomic Ions | ||||||
By Name | ♦ | By Ion | ||||
Ion | Name | Mass | ♦ | Ion | Name | Mass |
C2H3O2 1- | Acetate | 59.043 | ♦ | BO3 3- | Borate | 58.808 |
NH4 1+ | Ammonium | 18.039 | ♦ | BrO 1- | Hypobromite | 95.903 |
N3 1- | Azide | 42.02 | ♦ | BrO2 1- | Bromite | 111.902 | >
BO3 3- | Borate | 58.808 | ♦ | BrO3 1- | Bromate | 127.901 |
BrO3 1- | Bromate | 127.901 | ♦ | BrO4 1- | Perbromite | 143.9 |
BrO2 1- | Bromite | 111.902 | ♦ | C2H3O2 1- | Acetate | 59.043 |
CO3 2- | Carbonate | 66.007 | ♦ | C2O4 2- | Oxalate | 88.017 | >
ClO3 1- | Chlorate | 83.45 | ♦ | ClO 1- | Hypochlorite | 51.452 | >
ClO2 1- | Chlorite | 67.451 | ♦ | ClO2 1- | Chlorite | 67.451 |
CrO4 2- | Chromate | 115.992 | ♦ | ClO3 1- | Chlorate | 83.45 |
OCN 1- | Cyanate | 42.016 | ♦ | ClO4 1- | Perchlorate | 99.449 |
CN 1- | Cyanide | 26.017 | ♦ | CN 1- | Cyanide | 26.017 |
Cr2O7 2- | Dichromate | 215.985 | ♦ | CO3 2- | Carbonate | 66.007 |
H2PO4 1- | Dihydrogen phosphate | 96.986 | ♦ | Cr2O7 2- | Dichromate | 215.985 |
FO3 1- | Fluorate | 66.995 | ♦ | CrO4 2- | Chromate | 115.992 |
FO2 1- | Fluorite | 50.996 | ♦ | FO 1- | Hypofluorite | 34.997 | >
HCO3 1- | Hydrogen carbonate | 61.016 | ♦ | FO2 1- | Fluorite | 50.996 |
HPO4 2- | Hydrogen phosphate | 95.978 | ♦ | FO3 1- | Fluorate | 66.995 |
HSO4 1- | Hydrogen sulfate | 97.069 | ♦ | FO4 1- | Perfluorate | 82.994 |
HSO3 1- | Hydrogen sulfite | 81.07 | ♦ | H2PO4 1- | Dihydrogen phosphate | 96.986 |
OH 1- | Hydroxide | 17.007 | ♦ | HCO3 1- | Hydrogen carbonate | 61.016 |
BrO 1- | Hypobromite | 95.903 | ♦ | HPO4 2- | Hydrogen phosphate | 95.978 |
ClO 1- | Hypochlorite | 51.452 | ♦ | HSO3 1- | Hydrogen sulfite | 81.07 |
FO 1- | Hypofluorite | 34.997 | ♦ | HSO4 1- | Hydrogen sulfate | 97.069 |
IO 1- | Hypoiodite | 142.904 | ♦ | IO 1- | Hypoiodite | 142.904 |
IO3 1- | Iodate | 174.902 | ♦ | IO2 1- | Iodite | 158.903 |
IO2 1- | Iodite | 158.903 | ♦ | IO3 1- | Iodate | 174.902 |
NO3 1- | Nitrate | 62.004 | ♦ | IO4 1- | Periodate | 190.901 |
NO2 1- | Nitrite | 46.005 | ♦ | MnO4 1- | Permanganate | 118.934 |
C2O4 2- | Oxalate | 88.017 | ♦ | N3 1- | Azide | 42.02 |
BrO4 1- | Perbromite | 143.9 | ♦ | NCS 1- | Thiocyanate | 58.082 |
ClO4 1- | Perchlorate | 99.449 | ♦ | NH4 1+ | Ammonium | 18.039 |
FO4 1- | Perfluorate | 82.994 | ♦ | NO2 1- | Nitrite | 46.005 |
IO4 1- | Periodate | 190.901 | ♦ | NO3 1- | Nitrate | 62.004 |
MnO4 1- | Permanganate | 118.934 | ♦ | O2 2- | Peroxide | 31.998 |
O2 2- | Peroxide | 31.998 | ♦ | OCN 1- | Cyanate | 42.016 |
PO4 3- | Phosphate | 94.97 | ♦ | OH 1- | Hydroxide | 17.007 |
PO3 3- | Phosphite | 78.971 | ♦ | PO3 3- | Phosphite | 78.971 |
SO4 2- | Sulfate | 96.061 | ♦ | PO4 3- | Phosphate | 94.97 |
SO3 2- | Sulfite | 80.062 | ♦ | S2O3 2- | Thiosulfate | 112.127 |
NCS 1- | Thiocyanate | 58.082 | ♦ | SO3 2- | Sulfite | 80.062 |
S2O3 2- | Thiosulfate | 112.127 | ♦ | SO4 2- | Sulfate | 96.061 |
Heat of Formation (ΔHf°) of Selected Compounds (kJ/mol) | ||||||||||
Name | ΔHf | ♦ | Name | ΔHf | ♦ | Name | ΔHf | ♦ | Name | ΔHf |
Ag2O (s) | -30.6 | ♦ | Ag2S (s) | -31.8 | ♦ | AgBr (s) | -99.5 | ♦ | AgCl (s) | -127 |
AgI (s) | -62.4 | ♦ | Al2O3 (s) | -1669.8 | ♦ | BaCl2 (s) | -860.1 | ♦ | BaCO3 (s) | -1218.8 |
BaO (s) | -558.1 | ♦ | BaSO4 (s) | -1465.2 | ♦ | C2H2 (g) | 226.7 | ♦ | C2H4 (g) | 52.3 |
C2H5OH (l) | -277.6 | ♦ | C2H6 (g) | -84.7 | ♦ | C3H8 (g) | -103.8 | ♦ | Ca(OH)2 (s) | -986.6 |
CaCl2 (s) | -795 | ♦ | CaCO3 (s) | -1207 | ♦ | CaO (s) | -635.5 | ♦ | CaSO4 (s) | -1432.7 |
CCl4 (l) | -139.5 | ♦ | CH3OH (l) | -238.6 | ♦ | CH4 (g) | -74.8 | ♦ | CHCl3 (l) | -131.8 |
CO (g) | -110.5 | ♦ | CO2 (g) | -393.5 | ♦ | CoO (s) | -239.3 | ♦ | Cr2O3 (s) | -1128.4 |
Cu2O (s) | -166.7 | ♦ | CuO (s) | -155.2 | ♦ | CuS (s) | -48.5 | ♦ | CuSO4 (s) | -769.9 |
Fe2O3 (s) | -822.2 | ♦ | Fe3O4 (s) | -1120.9 | ♦ | H2O (g) | -241.8 | ♦ | H2O (l) | -285.8 |
H2O2 (l) | -187.6 | ♦ | H2S (g) | -20.1 | ♦ | H2SO4 (l) | -811.3 | ♦ | HBr (g) | -36.2 |
HCl (g) | -92.3 | ♦ | HF (g) | -268.6 | ♦ | HgO (s) | -90.7 | ♦ | HgS (s) | -58.2 |
HI (g) | 25.9 | ♦ | HNO3 (l) | -173.2 | ♦ | KBr (s) | -392.2 | ♦ | KCl (s) | -435.9 |
KClO3 (s) | -391.4 | ♦ | KF (s) | -562.6 | ♦ | Mg(OH)2 (s) | -924.7 | ♦ | MgCl2 (s) | -641.8 |
MgCO3 (s) | -1113 | ♦ | MgO (s) | -601.8 | ♦ | MgO (s) | -601.8 | ♦ | MgSO4 (s) | -1278.2 |
MnO (s) | -384.9 | ♦ | MnO2 (s) | -519.7 | ♦ | NaCl (s) | -411 | ♦ | NaF (s) | -569 |
NaOH (s) | -426.7 | ♦ | n-C4H10 (g) | -124.7 | ♦ | NH3 (g) | -46.2 | ♦ | NH4Cl (s) | -315.4 |
NH4NO3 (s) | -365.1 | ♦ | NiO (s) | -244.3 | ♦ | NO (g) | 90.4 | ♦ | NO2 (g) | 33.9 |
Pb3O4 (s) | -734.7 | ♦ | PbBr2 (s) | -277 | ♦ | PbCl2 (s) | -359.2 | ♦ | PbO (s) | -217.9 |
PbO2 (s) | -276.6 | ♦ | PCl3 (g) | -306.4 | ♦ | PCl5 (g) | -398.9 | ♦ | SiO2 (s) | -859.4 |
SnCl2 (s) | -349.8 | ♦ | SnCl4 (l) | -545.2 | ♦ | SnO (s) | -286.2 | ♦ | SnO2 (s) | -580.7 |
SO2 (g) | -296.1 | ♦ | SO3 (g) | -395.2 | ♦ | ZnO (s) | -348 | ♦ | ZnS (s) | -202.9 |
Naming Inorganic Compounds | ||
Organic compounds are much more difficult to name. Check appropriate textbook. |
Chemical Constants | |||
Constant | Symbol | Value | Unit |
Avogadro's Number | NA | 6.022 x 10 23 | mol-1 |
Acceleration Due to Gravity | g | 9.8 | m s-2 |
Atomic Mass Unit | u | 1.66 x 10 -27 | kg |
Bohr Radius | ao | 0.529 x 10 -10 | m |
Boltzman Constant | k | 1.38 x 10 -23 | J K-1 |
Compton Wavelength of e- | λc | 2.42631 x 10 -12 | m |
Coulomb's Constant | ke | 8.897 x 10 9 | N m2 C-2 |
Base e (ln) | e | 2.7182818284 | |
Electron Charge to Mass Ratio | e-/me | -1.7588 x 10 11 | C kg-1 |
Electron Classical Radius | re | 2.818 x 10 -15 | m |
Electron Mass Energy | mec2 | 8.187 x 10 -14 | J |
0.511 | MeV | ||
Electron Rest Mass | me | 9.109 x 10 -31 | kg |
Elementary Charge (e- or p+) | e | 1.602 x 10 -19 | C |
Faraday's Constant | F | 9.649 x 10 4 | C mol-1 |
Fine Structure Constant | α | 7.297 x 10 -3 | |
Gas Constant | R | 8.314 | J mol-1 K-1 |
0.082057 | L atm mol-1 K-1 | ||
Gravitational Constant | G | 6.67 x 10 -11 | N m2 kg-2 |
Molar Volume | Mv | 22.41383 | L/mol |
Neutron Mass Energy | mnc2 | 1.505 x 10 -10 | J |
939.565 | MeV | ||
Neutron Rest Mass | mn | 1.675 x 10 -27 | kg |
Neutron-Electron Mass Ratio | mn/me | 1838.68 | |
Neutron-Proton Mass Ratio | mn/mp | 1.0014 | |
Permeability of a Vacuum | μo | 4π x 10 -7 | N A-2 |
Permittivity of a Vacuum | εo | 8.854 x 10 -12 | F m-1 |
Pi | π | 3.1415926536 | |
Planck's Constant | h | 6.626 x 10 -34 | J s |
Proton Mass Energy | mpc2 | 1.503 x 10 -10 | J |
938.272 | MeV | ||
Proton Rest Mass | mp | 1.6726 x 10 -27 | kg |
Proton-Electron Mass Ratio | mp/me | 1836.15 | |
Rydberg's Constant | r∞ | 1.0974 x 10 7 | m-1 |
Speed of Light (vacuum) | c | 299792458 | m s-1 |
Solubility of Various Salts in Water at 25 °C | |||||||||||||||
Key: S = Soluble, SS = Slightly Soluble, I = Insoluble, D = Decomposes, x = n/a | |||||||||||||||
♦ | Ac - | Br - | CO32- | ClO3- | Cl - | CrO42- | OH - | I - | NO3- | O 2- | ClO4- | PO43- | SO42- | S 2- | ♦ |
Al 3+ | S | S | x | S | S | x | I | S | S | I | S | I | S | D | Al 3+ |
NH4 + | S | S | S | S | S | S | S | S | S | x | S | S | S | S | NH4 + |
Ba 2+ | S | S | SS | S | S | I | S | S | S | S | S | I | I | D | Ba 2+ |
Ca 2+ | S | S | SS | S | S | S | S | S | S | SS | S | SS | I | SS | Ca 2+ |
Cu 3+ | S | S | x | S | S | x | I | x | S | I | S | I | S | I | Cu 3+ |
H + | S | S | x | S | S | x | - | S | S | S | S | S | S | S | H + |
Fe 2+ | x | S | SS | S | S | x | I | S | S | I | S | I | S | I | Fe 2+ |
Fe 3+ | x | S | x | S | S | I | I | S | S | I | S | SS | SS | D | Fe 3+ |
Pb 2+ | S | I | x | S | I | I | SS | SS | S | SS | S | I | I | I | Pb 2+ |
Li + | S | S | S | S | S | ? | S | S | S | S | S | SS | S | S | Li + |
Mg 2+ | S | S | SS | S | S | S | I | S | S | I | S | SS | S | D | Mg 2+ |
Mn 2+ | S | S | SS | S | S | - | I | S | S | I | S | SS | S | I | Mn 2+ |
Hg + | SS | I | I | S | I | SS | x | I | S | I | S | I | I | I | Hg + |
Hg 2+ | S | S | x | S | S | SS | I | SS | S | SS | S | I | D | I | Hg 2+ |
K + | S | S | S | S | S | S | S | S | S | S | S | S | S | S | K + |
Ag + | SS | I | I | S | I | SS | x | I | S | SS | S | I | I | I | Ag + |
Na + | S | S | S | S | S | S | S | S | S | D | S | S | S | S | Na + |
Sr 2+ | S | S | SS | S | S | SS | S | S | S | S | S | I | I | S | Sr 2+ |
Sn 2+ | D | S | x | S | S | x | x | S | D | I | S | I | S | I | Sn 2+ |
Sn 4+ | S | S | x | x | S | S | I | D | x | I | S | x | S | I | Sn 4+ |
Zn 2+ | S | S | SS | S | S | SS | SS | S | S | SS | S | I | S | I | Zn 2+ |
♦ | Ac - | Br - | CO32- | ClO3- | Cl - | CrO42- | OH - | I - | NO3- | O 2- | ClO4- | PO43- | SO42- | S 2- | ♦ |
Key: S = Soluble, SS = Slightly Soluble, I = Insoluble, D = Decomposes, x = n/a |
Solubility Product Constants Ksp / pKsp | ||||
Grouped By Cation | ||||
Cation | Name | Formula | Ksp | pKsp |
Aluminum | Aluminium hydroxide | Al(OH)3 | 3 x 10 -34 | 33.52 |
Aluminium phosphate | AlPO4 | 9.84 x 10 -21 | 20.01 | |
Barium | Barium bromate | Ba(BrO3)2 | 2.43 x 10 -4 | 3.61 |
Barium carbonate | BaCO3 | 2.58 x 10 -9 | 8.59 | |
Barium chromate | BaCrO4 | 1.17 x 10 -10 | 9.93 | |
Barium fluoride | BaF2 | 1.84 x 10 -7 | 6.74 | |
Barium hydroxide octahydrate | Ba(OH)2 ·8H2O | 2.55 x 10 -4 | 3.59 | |
Barium iodate | Ba(IO3)2 | 4.01 x 10 -9 | 8.4 | |
Barium iodate monohydrate | Ba(IO3)2 ·H2O | 1.67 x 10 -9 | 8.78 | |
Barium molybdate | BaMoO4 | 3.54 x 10 -8 | 7.45 | |
Barium nitrate | Ba(NO3)2 | 4.64 x 10 -3 | 2.33 | |
Barium selenate | BaSeO4 | 3.40 x 10 -8 | 7.47 | |
Barium sulfate | BaSO4 | 1.08 x 10 -10 | 9.97 | |
Barium sulfite | BaSO3 | 5.0 x 10 -10 | 9.3 | |
Beryllium | Beryllium hydroxide | Be(OH)2 | 6.92 x 10 -22 | 21.16 |
Bismuth | Bismuth arsenate | BiAsO4 | 4.43 x 10 -10 | 9.35 |
Bismuth iodide | BiI | 7.71 x 10 -19 | 18.11 | |
Cadmium | Cadmium arsenate | Cd3(AsO4)2 | 2.2 x 10 -33 | 32.66 |
Cadmium carbonate | CdCO3 | 1.0 x 10 -12 | 12 | |
Cadmium fluoride | CdF2 | 6.44 x 10 -3 | 2.19 | |
Cadmium hydroxide | Cd(OH)2 | 7.2 x 10 -15 | 14.14 | |
Cadmium iodate | Cd(IO3)2 | 2.5 x 10 -8 | 7.6 | |
Cadmium oxalate trihydrate | CdC2O4 ·3H2O | 1.42 x 10 -8 | 7.85 | |
Cadmium phosphate | Cd3(PO4)2 | 2.53 x 10 -33 | 32.6 | |
Cadmium sulfide | CdS | 1 x 10 -27 | 27 | |
Caesium | Caesium perchlorate | CsClO4 | 3.95 x 10 -3 | 2.4 |
Caesium periodate | CsIO4 | 5.16 x 10 -6 | 5.29 | |
Calcium | Calcium carbonate (aragonite) | CaCO3 | 6.0 x 10 -9 | 8.22 |
Calcium carbonate (calcite) | CaCO3 | 3.36 x 10 -9 | 8.47 | |
Calcium fluoride | CaF2 | 3.45 x 10 -11 | 10.46 | |
Calcium hydroxide | Ca(OH)2 | 5.02 x 10 -6 | 5.3 | |
Calcium iodate | Ca(IO3)2 | 6.47 x 10 -6 | 5.19 | |
Calcium iodate hexahydrate | Ca(IO3)2 ·6H2O | 7.10 x 10 -7 | 6.15 | |
Calcium molybdate | CaMoO | 1.46 x 10 -8 | 7.84 | |
Calcium oxalate monohydrate | CaC2O4 ·H2O | 2.32 x 10 -9 | 8.63 | |
Calcium phosphate | Ca3(PO4)2 | 2.07 x 10 -33 | 32.68 | |
Calcium sulfate | CaSO4 | 4.93 x 10 -5 | 4.31 | |
Calcium sulfate dihydrate | CaSO4 ·H2O | 3.14 x 10 -5 | 4.5 | |
Calcium sulfate hemihydrate | CaSO4 ·½H2O | 3.1 x 10 -7 | 6.51 | |
Cobalt | Cobalt (II) arsenate | Co3(AsO4)2 | 6.80 x 10 -29 | 28.17 |
Cobalt (II) carbonate | CoCO3 | 1.0 x 10 -10 | 10 | |
Cobalt (II) hydroxide (blue) | Co(OH)2 | 5.92 x 10 -15 | 14.23 | |
Cobalt (II) iodate dihydrate | Co(IO3)2 ·2H2O | 1.21 x 10 -2 | 1.92 | |
Cobalt (II) phosphate | Co3(PO4)2 | 2.05 x 10 -35 | 34.69 | |
Cobalt (II) sulfide (alpha) | CoS | 5 x 10 -22 | 21.3 | |
Cobalt (II) sulfide (beta) | CoS | 3 x 10 -26 | 25.52 | |
Copper | Copper (I) bromide | CuBr | 6.27 x 10 -9 | 8.2 |
Copper (I) chloride | CuCl | 1.72 x 10 -7 | 6.76 | |
Copper (I) cyanide | CuCN | 3.47 x 10 -20 | 19.46 | |
Copper (I) hydroxide | Cu2O | 2 x 10 -15 | 14.7 | |
Copper (I) iodide | CuI | 1.27 x 10 -12 | 11.9 | |
Copper (I) thiocyanate | CuSCN | 1.77 x 10 -13 | 12.75 | |
Copper (II) arsenate | Cu3(AsO4)2 | 7.95 x 10 -36 | 35.1 | |
Copper (II) hydroxide | Cu(OH)2 | 4.8 x 10 -20 | 19.32 | |
Copper (II) iodate monohydrate | Cu(IO3)2 ·H2O | 6.94 x 10 -8 | 7.16 | |
Copper (II) oxalate | CuC2O4 | 4.43 x 10 -10 | 9.35 | |
Copper (II) phosphate | Cu3(PO4)2 | 1.40 x 10 -37 | 36.85 | |
Copper (II) sulfide | CuS | 8 x 10 -37 | 36.1 | |
Europium | Europium (III) hydroxide | Eu(OH)3 | 9.38 x 10 -27 | 26.03 |
Gallium | Gallium hydroxide | Ga(OH)3 | 7.28 x 10 -36 | 35.14 |
Iron | Iron (II) carbonate | FeCO3 | 3.13 x 10 -11 | 10.5 |
Iron (II) fluoride | FeF2 | 2.36 x 10 -6 | 5.63 | |
Iron (II) hydroxide | Fe(OH)2 | 4.87 x 10 -17 | 16.31 | |
Iron (II) sulfide | FeS | 8 x 10 -19 | 18.1 | |
Iron (III) hydroxide | Fe(OH)3 | 2.79 x 10 -39 | 38.55 | |
Iron (III) phosphate dihydrate | FePO4 ·2H2O | 9.91 x 10 -16 | 15 | |
Lanthanum | Lanthanum iodate | La(IO3)3 | 7.50 x 10 -12 | 11.12 |
Lead | Lead (II) bromide | PbBr2 | 6.60 x 10 -6 | 5.18 |
Lead (II) carbonate | PbCO3 | 7.40 x 10 -14 | 13.13 | |
Lead (II) chloride | PbCl2 | 1.70 x 10 -5 | 4.77 | |
Lead (II) chromate | PbCrO4 | 3 x 10 -13 | 12.52 | |
Lead (II) fluoride | PbF2 | 3.3 x 10 -8 | 7.48 | |
Lead (II) hydroxide | Pb(OH)2 | 1.43 x 10 -20 | 19.84 | |
Lead (II) iodate | Pb(IO3)2 | 3.69 x 10 -13 | 12.43 | |
Lead (II) iodide | PbI2 | 9.8 x 10 -9 | 8.01 | |
Lead (II) oxalate | PbC2O4 | 8.5 x 10 -9 | 8.07 | |
Lead (II) selenate | PbSeO4 | 1.37 x 10 -7 | 6.86 | |
Lead (II) sulfate | PbSO4 | 2.53 x 10 -8 | 7.6 | |
Lead (II) sulfide | PbS | 3 x 10 -28 | 27.52 | |
Lithium | Lithium carbonate | Li2CO3 | 8.15 x 10 -4 | 3.09 |
Lithium fluoride | LiF | 1.84 x 10 -3 | 2.74 | |
Lithium phosphate | Li3PO4 | 2.37 x 10 -4 | 3.63 | |
Magnesium | Magnesium ammonium phosphate | MgNH4PO4 | 3 x 10 -13 | 12.52 |
Magnesium carbonate | MgCO3 | 6.82 x 10 -6 | 5.17 | |
Magnesium carbonate pentahydrate | MgCO3 ·5H2O | 3.79 x 10 -6 | 5.42 | |
Magnesium carbonate trihydrate | MgCO3 ·3H2O | 2.38 x 10 -6 | 5.62 | |
Magnesium fluoride | MgF2 | 5.16 x 10 -11 | 10.29 | |
Magnesium hydroxide | Mg(OH)2 | 5.61 x 10 -12 | 11.25 | |
Magnesium oxalate dihydrate | MgC2O4 ·2H2O | 4.83 x 10 -6 | 5.32 | |
Magnesium phosphate | Mg3(PO4)2 | 1.04 x 10 -24 | 23.98 | |
Manganese | Manganese (II) carbonate | MnCO3 | 2.24 x 10 -11 | 10.65 |
Manganese (II) hydroxide | Mn(OH)2 | 2 x 10 -13 | 12.7 | |
Manganese (II) iodate | Mn(IO3)2 | 4.37 x 10 -7 | 6.36 | |
Manganese (II) oxalate dihydrate | MnC2O4 ·2H2O | 1.70 x 10 -7 | 6.77 | |
Manganese (II) sulfide (green) | MnS | 3 x 10 -14 | 13.52 | |
Manganese (II) sulfide (pink) | MnS | 3 x 10 -11 | 10.52 | |
Mercury | Mercury (I) bromide | Hg2Br2 | 6.40 x 10 -23 | 22.19 |
Mercury (I) carbonate | Hg2CO3 | 3.6 x 10 -17 | 16.44 | |
Mercury (I) chloride | Hg2Cl2 | 1.43 x 10 -18 | 17.84 | |
Mercury (I) fluoride | Hg2F2 | 3.10 x 10 -6 | 5.51 | |
Mercury (I) iodide | Hg2I2 | 5.2 x 10 -29 | 28.28 | |
Mercury (I) oxalate | Hg2C2O4 | 1.75 x 10 -13 | 12.76 | |
Mercury (I) sulfate | Hg2SO4 | 6.5 x 10 -7 | 6.19 | |
Mercury (I) thiocyanate | Hg2(SCN)2 | 3.2 x 10 -20 | 19.49 | |
Mercury (II) bromide | HgBr2 | 6.2 x 10 -20 | 19.21 | |
Mercury (II) hydroxide | HgO | 3.6 x 10 -26 | 25.44 | |
Mercury (II) iodide | HgI2 | 2.9 x 10 -29 | 28.54 | |
Mercury (II) sulfide (black) | HgS | 2 x 10 -53 | 52.7 | |
Mercury (II) sulfide (red) | HgS | 2 x 10 -54 | 53.7 | |
Neodymium | Neodymium carbonate | Nd2(CO3)3 | 1.08 x 10 -33 | 32.97 |
Nickel | Nickel (II) carbonate | NiCO3 | 1.42 x 10 -7 | 6.85 |
Nickel (II) hydroxide | Ni(OH)2 | 5.48 x 10 -16 | 15.26 | |
Nickel (II) iodate | Ni(IO3)2 | 4.71 x 10 -5 | 4.33 | |
Nickel (II) phosphate | Ni3(PO4)2 | 4.74 x 10 -32 | 31.32 | |
Nickel (II) sulfide (alpha) | NiS | 4 x 10 -20 | 19.4 | |
Nickel (II) sulfide (beta) | NiS | 1.3 x 10 -25 | 24.89 | |
Palladium | Palladium (II) thiocyanate | Pd(SCN)2 | 4.39 x 10 -23 | 22.36 |
Potassium | Potassium hexachloroplatinate | K2PtCl6 | 7.48 x 10 -6 | 5.13 |
Potassium perchlorate | KClO4 | 1.05 x 10 -2 | 1.98 | |
Potassium periodate | KIO4 | 3.71 x 10 -4 | 3.43 | |
Praseodymium | Praseodymium hydroxide | Pr(OH)3 | 3.39 x 10 -24 | 23.47 |
Radium | Radium iodate | Ra(IO3)2 | 1.16 x 10 -9 | 8.94 |
Radium sulfate | RaSO4 | 3.66 x 10 -11 | 10.44 | |
Rubidium | Rubidium perchlorate | RuClO4 | 3.00 x 10 -3 | 2.52 |
Scandium | Scandium fluoride | ScF3 | 5.81 x 10 -24 | 23.24 |
Scandium hydroxide | Sc(OH)3 | 2.22 x 10 -31 | 30.65 | |
Silver | Silver acetate | AgCH3COO | 1.94 x 10 -3 | 2.71 |
Silver arsenate | Ag3AsO4 | 1.03 x 10 -22 | 21.99 | |
Silver bromate | AgBrO3 | 5.38 x 10 -5 | 4.27 | |
Silver bromide | AgBr | 5.35 x 10 -13 | 12.27 | |
Silver carbonate | Ag2CO3 | 8.46 x 10 -12 | 11.07 | |
Silver chloride | AgCl | 1.77 x 10 -10 | 9.75 | |
Silver chromate | Ag2CrO4 | 1.12 x 10 -12 | 11.95 | |
Silver cyanide | AgCN | 5.97 x 10 -17 | 16.22 | |
Silver iodate | AgIO3 | 3.17 x 10 -8 | 7.5 | |
Silver iodide | AgI | 8.52 x 10 -17 | 16.07 | |
Silver oxalate | Ag2C2O4 | 5.40 x 10 -12 | 11.27 | |
Silver phosphate | Ag3PO4 | 8.89 x 10 -17 | 16.05 | |
Silver sulfate | Ag2SO4 | 1.20 x 10 -5 | 4.92 | |
Silver sulfide | Ag2S | 8 x 10 -51 | 50.1 | |
Silver sulfite | Ag2SO3 | 1.50 x 10 -14 | 13.82 | |
Silver thiocyanate | AgSCN | 1.03 x 10 -12 | 11.99 | |
Strontium | Strontium arsenate | Sr3(AsO4)2 | 4.29 x 10 -19 | 18.37 |
Strontium carbonate | SrCO3 | 5.60 x 10 -10 | 9.25 | |
Strontium fluoride | SrF2 | 4.33 x 10 -9 | 8.36 | |
Strontium iodate | Sr(IO3)2 | 1.14 x 10 -7 | 6.94 | |
Strontium iodate hexahydrate | Sr(IO3)2 ·6H2O | 4.55 x 10 -7 | 6.34 | |
Strontium iodate monohydrate | Sr(IO3)2 ·H2O | 3.77 x 10 -7 | 6.42 | |
Strontium oxalate | SrC2O4 | 5 x 10 -8 | 7.3 | |
Strontium sulfate | SrSO4 | 3.44 x 10 -7 | 6.46 | |
Thallium | Thallium (I) bromate | TlBrO3 | 1.10 x 10 -4 | 3.96 |
Thallium (I) bromide | TlBr | 3.71 x 10 -6 | 5.43 | |
Thallium (I) chloride | TlCl | 1.86 x 10 -4 | 3.73 | |
Thallium (I) chromate | Tl2CrO4 | 8.67 x 10 -13 | 12.06 | |
Thallium (I) hydroxide | Tl(OH)3 | 1.68 x 10 -44 | 43.77 | |
Thallium (I) iodate | TlIO3 | 3.12 x 10 -6 | 5.51 | |
Thallium (I) iodide | TlI | 5.54 x 10 -8 | 7.26 | |
Thallium (I) sulfide | Tl2S | 6 x 10 -22 | 21.22 | |
Thallium (I) thiocyanate | TlSCN | 1.57 x 10 -4 | 3.8 | |
Tin | Tin (II) hydroxide | Sn(OH)2 | 5.45 x 10 -27 | 26.26 |
Yttrium | Yttrium carbonate | Y2(CO3)3 | 1.03 x 10 -31 | 30.99 |
Yttrium fluoride | YF3 | 8.62 x 10 -21 | 20.06 | |
Yttrium hydroxide | Y(OH)3 | 1.00 x 10 -22 | 22 | |
Yttrium iodate | Y(IO3)3 | 1.12 x 10 -10 | 9.95 | |
Zinc | Zinc arsenate | Zn3(AsO4)2 | 2.8 x 10 -28 | 27.55 |
Zinc carbonate | ZnCO3 | 1.46 x 10 -10 | 9.84 | |
Zinc carbonate monohydrate | ZnCO3 ·H2O | 5.42 x 10 -11 | 10.27 | |
Zinc fluoride | ZnF | 3.04 x 10 -2 | 1.52 | |
Zinc hydroxide | Zn(OH)2 | 3 x 10 -17 | 16.52 | |
Zinc iodate dihydrate | Zn(IO3)2 ·2H2O | 4.1 x 10 -6 | 5.39 | |
Zinc oxalate dihydrate | ZnC2O4 ·2H2O | 1.38 x 10 -9 | 8.86 | |
Zinc selenide | ZnSe | 3.6 x 10 -26 | 25.44 | |
Zinc selenite monohydrate | ZnSeO3 ·H2O | 1.59 x 10 -7 | 6.8 | |
Zinc sulfide (alpha) | ZnS | 2 x 10 -25 | 24.7 | |
Zinc sulfide (beta) | ZnS | 3 x 10 -23 | 22.52 | |
Grouped By Anion | ||||
Anion | Name | Formula | Ksp | pKsp |
Acetate | Silver acetate | AgCH3COO | 1.94 x 10 -3 | 2.71 |
Ammonium phosphate |
Magnesium ammonium phosphate | MgNH4PO4 | 3 x 10 -13 | 12.52 |
Arsenate | Bismuth arsenate | BiAsO4 | 4.43 x 10 -10 | 9.35 |
Cadmium arsenate | Cd3(AsO4)2 | 2.2 x 10 -33 | 32.66 | |
Cobalt (II) arsenate | Co3(AsO4)2 | 6.80 x 10 -29 | 28.17 | |
Copper (II) arsenate | Cu3(AsO4)2 | 7.95 x 10 -36 | 35.1 | |
Silver arsenate | Ag3AsO4 | 1.03 x 10 -22 | 21.99 | |
Strontium arsenate | Sr3(AsO4)2 | 4.29 x 10 -19 | 18.37 | |
Zinc arsenate | Zn3(AsO4)2 | 2.8 x 10 -28 | 27.55 | |
Bromate | Barium bromate | Ba(BrO3)2 | 2.43 x 10 -4 | 3.61 |
Silver bromate | AgBrO3 | 5.38 x 10 -5 | 4.27 | |
Thallium (I) bromate | TlBrO3 | 1.10 x 10 -4 | 3.96 | |
Bromide | Copper (I) bromide | CuBr | 6.27 x 10 -9 | 8.2 |
Lead (II) bromide | PbBr2 | 6.60 x 10 -6 | 5.18 | |
Mercury (I) bromide | Hg2Br2 | 6.40 x 10 -23 | 22.19 | |
Mercury (II) bromide | HgBr2 | 6.2 x 10 -20 | 19.21 | |
Silver bromide | AgBr | 5.35 x 10 -13 | 12.27 | |
Thallium (I) bromide | TlBr | 3.71 x 10 -6 | 5.43 | |
Carbonate | Barium carbonate | BaCO3 | 2.58 x 10 -9 | 8.59 |
Cadmium carbonate | CdCO3 | 1.0 x 10 -12 | 12 | |
Calcium carbonate (aragonite) | CaCO3 | 6.0 x 10 -9 | 8.22 | |
Calcium carbonate (calcite) | CaCO3 | 3.36 x 10 -9 | 8.47 | |
Cobalt (II) carbonate | CoCO3 | 1.0 x 10 -10 | 10 | |
Iron (II) carbonate | FeCO3 | 3.13 x 10 -11 | 10.5 | |
Lead (II) carbonate | PbCO3 | 7.40 x 10 -14 | 13.13 | |
Lithium carbonate | Li2CO3 | 8.15 x 10 -4 | 3.09 | |
Magnesium carbonate pentahydrate | MgCO3 ·5H2O | 3.79 x 10 -6 | 5.42 | |
Magnesium carbonate trihydrate | MgCO3 ·3H2O | 2.38 x 10 -6 | 5.62 | |
Magnesium carbonate | MgCO3 | 6.82 x 10 -6 | 5.17 | |
Manganese (II) carbonate | MnCO3 | 2.24 x 10 -11 | 10.65 | |
Mercury (I) carbonate | Hg2CO3 | 3.6 x 10 -17 | 16.44 | |
Neodymium carbonate | Nd2(CO3)3 | 1.08 x 10 -33 | 32.97 | |
Nickel (II) carbonate | NiCO3 | 1.42 x 10 -7 | 6.85 | |
Silver carbonate | Ag2CO3 | 8.46 x 10 -12 | 11.07 | |
Strontium carbonate | SrCO3 | 5.60 x 10 -10 | 9.25 | |
Yttrium carbonate | Y2(CO3)3 | 1.03 x 10 -31 | 30.99 | |
Zinc carbonate monohydrate | ZnCO3 ·H2O | 5.42 x 10 -11 | 10.27 | |
Zinc carbonate | ZnCO3 | 1.46 x 10 -10 | 9.84 | |
Chloride | Copper (I) chloride | CuCl | 1.72 x 10 -7 | 6.76 |
Lead (II) chloride | PbCl2 | 1.70 x 10 -5 | 4.77 | |
Mercury (I) chloride | Hg2Cl2 | 1.43 x 10 -18 | 17.84 | |
Silver chloride | AgCl | 1.77 x 10 -10 | 9.75 | |
Thallium (I) chloride | TlCl | 1.86 x 10 -4 | 3.73 | |
Chromate | Barium chromate | BaCrO4 | 1.17 x 10 -10 | 9.93 |
Lead (II) chromate | PbCrO4 | 3 x 10 -13 | 12.52 | |
Silver chromate | Ag2CrO4 | 1.12 x 10 -12 | 11.95 | |
Thallium (I) chromate | Tl2CrO4 | 8.67 x 10 -13 | 12.06 | |
Cyanide | Copper (I) cyanide | CuCN | 3.47 x 10 -20 | 19.46 |
Silver cyanide | AgCN | 5.97 x 10 -17 | 16.22 | |
Fluoride | Barium fluoride | BaF2 | 1.84 x 10 -7 | 6.74 |
Cadmium fluoride | CdF2 | 6.44 x 10 -3 | 2.19 | |
Calcium fluoride | CaF2 | 3.45 x 10 -11 | 10.46 | |
Iron (II) fluoride | FeF2 | 2.36 x 10 -6 | 5.63 | |
Lead (II) fluoride | PbF2 | 3.3 x 10 -8 | 7.48 | |
Lithium fluoride | LiF | 1.84 x 10 -3 | 2.74 | |
Magnesium fluoride | MgF2 | 5.16 x 10 -11 | 10.29 | |
Mercury (I) fluoride | Hg2F2 | 3.10 x 10 -6 | 5.51 | |
Scandium fluoride | ScF3 | 5.81 x 10 -24 | 23.24 | |
Strontium fluoride | SrF2 | 4.33 x 10 -9 | 8.36 | |
Yttrium fluoride | YF3 | 8.62 x 10 -21 | 20.06 | |
Zinc fluoride | ZnF | 3.04 x 10 -2 | 1.52 | |
Hexachloro- platinate |
Potassium hexachloroplatinate | K2PtCl6 | 7.48 x 10 -6 | 5.13 |
Hydroxide | Aluminium hydroxide | Al(OH)3 | 3 x 10 -34 | 33.52 |
Barium hydroxide octahydrate | Ba(OH)2.8H2O | 2.55 x 10 -4 | 3.59 | |
Beryllium hydroxide | Be(OH)2 | 6.92 x 10 -22 | 21.16 | |
Cadmium hydroxide | Cd(OH)2 | 7.2 x 10 -15 | 14.14 | |
Calcium hydroxide | Ca(OH)2 | 5.02 x 10 -6 | 5.3 | |
Cobalt (II) hydroxide (blue) | Co(OH)2 | 5.92 x 10 -15 | 14.23 | |
Copper (I) hydroxide | Cu2O | 2 x 10 -15 | 14.7 | |
Copper (II) hydroxide | Cu(OH)2 | 4.8 x 10 -20 | 19.32 | |
Europium (III) hydroxide | Eu(OH)3 | 9.38 x 10 -27 | 26.03 | |
Gallium hydroxide | Ga(OH)3 | 7.28 x 10 -36 | 35.14 | |
Iron (II) hydroxide | Fe(OH)2 | 4.87 x 10 -17 | 16.31 | |
Iron (III) hydroxide | Fe(OH)3 | 2.79 x 10 -39 | 38.55 | |
Lead (II) hydroxide | Pb(OH)2 | 1.43 x 10 -20 | 19.84 | |
Magnesium hydroxide | Mg(OH)2 | 5.61 x 10 -12 | 11.25 | |
Manganese (II) hydroxide | Mn(OH)2 | 2 x 10 -13 | 12.7 | |
Mercury (II) hydroxide | HgO | 3.6 x 10 -26 | 25.44 | |
Nickel (II) hydroxide | Ni(OH)2 | 5.48 x 10 -16 | 15.26 | |
Praseodymium hydroxide | Pr(OH)3 | 3.39 x 10 -24 | 23.47 | |
Scandium hydroxide | Sc(OH)3 | 2.22 x 10 -31 | 30.65 | |
Thallium (I) hydroxide | Tl(OH)3 | 1.68 x 10 -44 | 43.77 | |
Tin (II) hydroxide | Sn(OH)2 | 5.45 x 10 -27 | 26.26 | |
Yttrium hydroxide | Y(OH)3 | 1.00 x 10 -22 | 22 | |
Zinc hydroxide | Zn(OH)2 | 3 x 10 -17 | 16.52 | |
Iodate | Barium iodate monohydrate | Ba(IO3)2 ·H2O | 1.67 x 10 -9 | 8.78 |
Barium iodate | Ba(IO3)2 | 4.01 x 10 -9 | 8.4 | |
Cadmium iodate | Cd(IO3)2 | 2.5 x 10 -8 | 7.6 | |
Calcium iodate hexahydrate | Ca(IO3)2 ·6H2O | 7.10 x 10 -7 | 6.15 | |
Calcium iodate | Ca(IO3)2 | 6.47 x 10 -6 | 5.19 | |
Cobalt (II) iodate dihydrate | Co(IO3)2 ·2H2O | 1.21 x 10 -2 | 1.92 | |
Copper (II) iodate monohydrate | Cu(IO3)2 ·H2O | 6.94 x 10 -8 | 7.16 | |
Lanthanum iodate | La(IO3)3 | 7.50 x 10 -12 | 11.12 | |
Lead (II) iodate | Pb(IO3)2 | 3.69 x 10 -13 | 12.43 | |
Manganese (II) iodate | Mn(IO3)2 | 4.37 x 10 -7 | 6.36 | |
Nickel (II) iodate | Ni(IO3)2 | 4.71 x 10 -5 | 4.33 | |
Radium iodate | Ra(IO3)2 | 1.16 x 10 -9 | 8.94 | |
Silver iodate | AgIO3 | 3.17 x 10 -8 | 7.5 | |
Strontium iodate hexahydrate | Sr(IO3)2 ·6H2O | 4.55 x 10 -7 | 6.34 | |
Strontium iodate monohydrate | Sr(IO3)2 ·H2O | 3.77 x 10 -7 | 6.42 | |
Strontium iodate | Sr(IO3)2 | 1.14 x 10 -7 | 6.94 | |
Thallium (I) iodate | TlIO3 | 3.12 x 10 -6 | 5.51 | |
Yttrium iodate | Y(IO3)3 | 1.12 x 10 -10 | 9.95 | |
Zinc iodate dihydrate | Zn(IO3)2 ·2H2O | 4.1 x 10 -6 | 5.39 | |
Iodide | Bismuth iodide | BiI | 7.71 x 10 -19 | 18.11 |
Copper (I) iodide | CuI | 1.27 x 10 -12 | 11.9 | |
Lead (II) iodide | PbI2 | 9.8 x 10 -9 | 8.01 | |
Mercury (I) iodide | Hg2I2 | 5.2 x 10 -29 | 28.28 | |
Mercury (II) iodide | HgI2 | 2.9 x 10 -29 | 28.54 | |
Silver iodide | AgI | 8.52 x 10 -17 | 16.07 | |
Thallium (I) iodide | TlI | 5.54 x 10 -8 | 7.26 | |
Molybdate | Barium molybdate | BaMoO4 | 3.54 x 10 -8 | 7.45 |
Calcium molybdate | CaMoO | 1.46 x 10 -8 | 7.84 | |
Nitrate | Barium nitrate | Ba(NO3)2 | 4.64 x 10 -3 | 2.33 |
Oxalate | Cadmium oxalate trihydrate | CdC2O4 ·3H2O | 1.42 x 10 -8 | 7.85 |
Calcium oxalate monohydrate | CaC2O4 ·H2O | 2.32 x 10 -9 | 8.63 | |
Copper (II) oxalate | CuC2O4 | 4.43 x 10 -10 | 9.35 | |
Lead (II) oxalate | PbC2O4 | 8.5 x 10 -9 | 8.07 | |
Magnesium oxalate dihydrate | MgC2O4 ·2H2O | 4.83 x 10 -6 | 5.32 | |
Manganese (II) oxalate dihydrate | MnC2O4 ·2H2O | 1.70 x 10 -7 | 6.77 | |
Mercury (I) oxalate | Hg2C2O4 | 1.75 x 10 -13 | 12.76 | |
Silver oxalate | Ag2C2O4 | 5.40 x 10 -12 | 11.27 | |
Strontium oxalate | SrC2O4 | 5 x 10 -8 | 7.3 | |
Zinc oxalate dihydrate | ZnC2O4 ·2H2O | 1.38 x 10 -9 | 8.86 | |
Perchlorate | Caesium perchlorate | CsClO4 | 3.95 x 10 -3 | 2.4 |
Potassium perchlorate | KClO4 | 1.05 x 10 -2 | 1.98 | |
Rubidium perchlorate | RuClO4 | 3.00 x 10 -3 | 2.52 | |
Periodate | Caesium periodate | CsIO4 | 5.16 x 10 -6 | 5.29 |
Potassium periodate | KIO4 | 3.71 x 10 -4 | 3.43 | |
Phosphate | Aluminium phosphate | AlPO4 | 9.84 x 10 -21 | 20.01 |
Cadmium phosphate | Cd3(PO4)2 | 2.53 x 10 -33 | 32.6 | |
Calcium phosphate | Ca3(PO4)2 | 2.07 x 10 -33 | 32.68 | |
Cobalt (II) phosphate | Co3(PO4)2 | 2.05 x 10 -35 | 34.69 | |
Copper (II) phosphate | Cu3(PO4)2 | 1.40 x 10 -37 | 36.85 | |
Iron (III) phosphate dihydrate | FePO4 ·2H2O | 9.91 x 10 -16 | 15 | |
Lithium phosphate | Li3PO4 | 2.37 x 10 -4 | 3.63 | |
Magnesium phosphate | Mg3(PO4)2 | 1.04 x 10 -24 | 23.98 | |
Nickel (II) phosphate | Ni3(PO4)2 | 4.74 x 10 -32 | 31.32 | |
Silver phosphate | Ag3PO4 | 8.89 x 10 -17 | 16.05 | |
Selenate | Barium selenate | BaSeO4 | 3.40 x 10 -8 | 7.47 |
Lead (II) selenate | PbSeO4 | 1.37 x 10 -7 | 6.86 | |
Selenide | Zinc selenide | ZnSe | 3.6 x 10 -26 | 25.44 |
Zinc selenite monohydrate | ZnSeO3 ·H2O | 1.59 x 10 -7 | 6.8 | |
Sulfate | Barium sulfate | BaSO4 | 1.08 x 10 -10 | 9.97 |
Calcium sulfate dihydrate | CaSO4 ·2H2O | 3.14 x 10 -5 | 4.5 | |
Calcium sulfate hemihydrate | CaSO4 ·½H2O | 3.1 x 10 -7 | 6.51 | |
Calcium sulfate | CaSO4 | 4.93 x 10 -5 | 4.31 | |
Lead (II) sulfate | PbSO4 | 2.53 x 10 -8 | 7.6 | |
Mercury (I) sulfate | Hg2SO4 | 6.5 x 10 -7 | 6.19 | |
Radium sulfate | RaSO4 | 3.66 x 10 -11 | 10.44 | |
Silver sulfate | Ag2SO4 | 1.20 x 10 -5 | 4.92 | |
Strontium sulfate | SrSO4 | 3.44 x 10 -7 | 6.46 | |
Sulfide | Cadmium sulfide | CdS | 1 x 10 -27 | 27 |
Cobalt (II) sulfide (alpha) | CoS | 5 x 10 -22 | 21.3 | |
Cobalt (II) sulfide (beta) | CoS | 3 x 10 -26 | 25.52 | |
Copper (II) sulfide | CuS | 8 x 10 -37 | 36.1 | |
Iron (II) sulfide | FeS | 8 x 10 -19 | 18.1 | |
Lead (II) sulfide | PbS | 3 x 10 -28 | 27.52 | |
Manganese (II) sulfide (green) | MnS | 3 x 10 -14 | 13.52 | |
Manganese (II) sulfide (pink) | MnS | 3 x 10 -11 | 10.52 | |
Mercury (II) sulfide (black) | HgS | 2 x 10 -53 | 52.7 | |
Mercury (II) sulfide (red) | HgS | 2 x 10 -54 | 53.7 | |
Nickel (II) sulfide (alpha) | NiS | 4 x 10 -20 | 19.4 | |
Nickel (II) sulfide (beta) | NiS | 1.3 x 10 -25 | 24.89 | |
Silver sulfide | Ag2S | 8 x 10 -51 | 50.1 | |
Thallium (I) sulfide | Tl2S | 6 x 10 -22 | 21.22 | |
Zinc sulfide (alpha) | ZnS | 2 x 10 -25 | 24.7 | |
Zinc sulfide (beta) | ZnS | 3 x 10 -23 | 22.52 | |
Sulfite | Barium sulfite | BaSO3 | 5.0 x 10 -10 | 9.3 |
Silver sulfite | Ag2SO3 | 1.50 x 10 -14 | 13.82 | |
Thiocyanate | Copper (I) thiocyanate | CuSCN | 1.77 x 10 -13 | 12.75 |
Mercury (I) thiocyanate | Hg2(SCN)2 | 3.2 x 10 -20 | 19.49 | |
Palladium (II) thiocyanate | Pd(SCN)2 | 4.39 x 10 -23 | 22.36 | |
Silver thiocyanate | AgSCN | 1.03 x 10 -12 | 11.99 | |
Thallium (I) thiocyanate | TlSCN | 1.57 x 10 -4 | 3.8 |
Ionization Constants Ka/pKa/Kb/pKb | ||||
Acid Name | Formula | Conjugate Base | Ka | pKa |
Acetic Acid | CH3COOH | CH3COO - | 1.76 x 10 -5 | 4.75 |
Ammonium ion | NH4 + | NH3 | 5.6 x 10 -10 | 9.25 |
Arsenic Acid | H3AsO4 | H2AsO4 - | 5 x 10 -3 | 2.3 |
Arsenic Acid | H2AsO4 - | HAsO4 2- | 8 x 10 -8 | 7.1 |
Arsenic Acid | HAsO4 2- | AsO4 3- | 6 x 10 -10 | 9.22 |
Ascorbic Acid | H2C6H6O6 | HC6H6O6 - | 7.9 x 10 -5 | 4.1 |
Ascorbic Acid | HC6H6O - | C6H6O6 2- | 1.6 x 10 -12 | 11.8 |
Benzoic Acid | C6H5COOH | C6H5COO - | 6.46 x 10 -5 | 4.19 |
Boric Acid | H3BO3 | H2BO3 - | 5.8 x 10 -10 | 9.24 |
Carbonic Acid | H2CO3 | HCO3 - | 4.3 x 10 -7 | 6.37 |
Carbonic Acid | HCO3 - | CO3 2- | 4.8 x 10 -11 | 10.32 |
Chloric Acid | HClO3 | ClO3 - | 1.0 x 10 3 * | -3 * |
Chloroacetic Acid | CH2ClCOOH | CH2ClCOO - | 1.4 x 10 -3 | 2.85 |
Chlorous Acid | HClO2 | ClO2 - | 1.1 x 10 -2 | 1.96 |
Citric Acid | H3C6H5O7 | H2C6H5O7 - | 8.4 x 10 -4 | 3.08 |
Citric Acid | H2C6H5O7 - | HC6H5O7 2- | 1.8 x 10 -5 | 4.74 |
Citric Acid | HC6H5O7 2- | C6H5O7 3- | 4 x 10 -6 | 5.4 |
Formic Acid | HCOOH | HCOO - | 1.77 x 10 -4 | 3.75 |
Hydrazoic Acid | HN3 | N 3- | 1.9 x 10 -5 | 4.72 |
Hydrobromic Acid | HBr | Br - | 1.0 x 10 9 * | -9 * |
Hydrochloric Acid | HCl | Cl - | 1.3 x 10 6 * | -6.2 * |
Hydrocyanic Acid | HCN | CN - | 6.17 x 10 -10 | 9.21 |
Hydrofluoric Acid | HF | F - | 7.2 x 10 -4 | 3.14 |
Hydrogen peroxide | H2O2 | HO2 - | 2.4 x 10 -12 | 11.62 |
Hydroiodic Acid | HI | I - | 3.2 x 10 9 * | -9.5 * |
Hydronium ion | H3O + | H2O | 1 | 0 |
Hydrosulfuric Acid | H2S | HS - | 1 x 10 -7 | 7 |
Hypobromous Acid | HBrO | BrO - | 2 x 10 -9 | 8.7 |
Hypochlorous Acid | HClO | ClO - | 3.5 x 10 -8 | 7.46 |
Hypoiodous Acid | HIO | IO - | 2 x 10 -11 | 10.7 |
Iodic Acid | HIO3 | IO3 - | 1.6 x 10 -1 | 0.8 |
Lactic Acid | HCH3H5O3 | CH3H5O3 - | 1.38 x 10 -4 | 3.86 |
Nitric Acid | HNO3 | NO3 - | 2.4 x 10 1 * | -1.4 * |
Nitrous Acid | HNO2 | NO2 - | 4 x 10 -4 | 3.4 |
Oxalic Acid | H2C2O4 | HC2O4 - | 5.9 x 10 -2 | 1.23 |
Oxalic Acid | HC2O4 - | C2O4 2- | 6.4 x 10 -5 | 4.19 |
Perchloric Acid | HClO4 | ClO4 - | 1.0 x 10 11 * | -11 * |
Phenol | C6H5OH | C6H5O - | 1.6 x 10 -10 | 9.8 |
Phosphoric Acid | H3PO4 | H2PO4 - | 7.52 x 10 -3 | 2.12 |
Phosphoric Acid | H2PO4 - | HPO4 2- | 6.23 x 10 -8 | 7.21 |
Phosphoric Acid | HPO4 2- | PO4 3- | 4.8 x 10 -13 | 12.32 |
Propionic Acid | CH3CH2COOH | CH3CH2COO - | 1.34 x 10 -5 | 4.87 |
Pyridinium ion | C5H4NH + | C5H4N | 5.6 x 10 -6 | 5.25 |
Sulfuric Acid | H2SO4 | HSO4 - | 1.0 x 10 3 * | -3 * |
Sulfuric Acid | HSO4 - | SO4 2- | 1.2 x 10 -2 | 1.92 |
Sulfurous Acid | H2SO3 | HSO3 - | 1.54 x 10 -2 | 1.81 |
Sulfurous Acid | HSO3 - | SO3 2- | 1.02 x 10 -7 | 6.99 |
Water | H2O | OH - | 1 x 10 -14 | 14 |
* Ka values > 1.0 (pKa < 1.0) indicates a strong acid with complete dissociation | ||||
Base Name | Formula | Conjugate Acid | Kb | pKb |
Ammonia | NH3 | NH4 + | 1.8 x 10 -5 | 4.74 |
Aniline | C6H5NH2 | C6H5NH3 + | 7.4 x 10 -10 | 9.13 |
Caffeine | C8H10N4O2 | C8H10N4O2H + | 4.1 x 10 -4 | 3.39 |
Codeine | C18H21O3N | C18H21O3NH + | 8.9 x 10 -7 | 6.05 |
Diethylamine | (C2H5)2NH | (C2H5)2NH2 + | 6.9 x 10 -4 | 3.16 |
Dimethylamine | (CH3)2NH | (CH3)2NH2 + | 5.9 x 10 -4 | 3.23 |
Ethylamine | C2H5NH2 | C2H5NH3 + | 4.3 x 10 -4 | 3.37 |
Hydroxylamine | NH2OH | NH3OH + | 9.1 x 10 -9 | 8.04 |
Isoquinoline | C9H7N | C9H7NH + | 2.5 x 10 -9 | 8.6 |
Methylamine | CH3NH2 | CH3NH3 + | 4.2 x 10 -4 | 3.38 |
Morphine | C17H19O3N | C17H19O3NH + | 7.4 x 10 -7 | 6.13 |
Piperidine | C5H11N | C5H11NH + | 1.3 x 10 -3 | 2.89 |
Pyridine | C5H5N | C5H5NH + | 1.5 x 10 -9 | 8.82 |
Quinoline | C9H7N | C9H7NH + | 6.3 x 10 -10 | 9.2 |
Triethanolamine | C6H15O3N | C6H15O3NH + | 5.8 x 10 -7 | 6.24 |
Triethylamine | (C2H5)3N | (C2H5)3NH + | 5.2 x 10 -4 | 3.28 |
Trimethylamine | (CH3)3N | (CH3)3NH + | 6.3 x 10 -5 | 4.2 |
Urea | N2H4CO | N2H4COH + | 1.5 x 10 -14 | 13.82 |
Acid/Base Indicators | |||
Indicator | Low Color | pH Range | High Color |
Methyl violet | yellow | 0.0 ↔ 2.5 | violet |
Malachite green | yellow | 0.2 ↔ 1.8 | blue-green |
Thymol Blue | red | 1.2 ↔ 2.8 | yellow |
Pentamethoxy red | red-violet | 1.2 ↔ 2.3 | colorless |
Benzopurpurin 4B | violet | 1.2 ↔ 3.8 | red |
Tropeolin 00 | red | 1.3 ↔ 3.2 | yellow |
Phloxine B | colorless | 2.1 ↔ 4.1 | pink |
2,4-Dinitrophenol | colorless | 2.4 ↔ 4.0 | yellow |
Methyl yellow | red | 2.9 ↔ 4.0 | yellow |
Methyl orange | red | 3.0 ↔ 4.4 | orange |
Bromphenol blue | yellow | 3.0 ↔ 4.6 | blue-violet |
Tetrabromphenol blue | yellow | 3.0 ↔ 4.6 | blue |
Congo red | blue | 3.1 ↔ 4.9 | red |
Methyl orange | red | 3.2 ↔ 4.4 | yellow |
Alizarin sodium sulfonate | yellow | 3.7 ↔ 5.2 | violet |
α-Naphthyl red | red | 3.7 ↔ 5.0 | yellow |
p-Ethoxychrysoidine | red | 3.7 ↔ 5.5 | yellow |
Bromcresol green | yellow | 4.0 ↔ 5.6 | blue |
Methyl red | red | 4.4 ↔ 6.2 | yellow |
p-Nitrophenol | colorless | 5.0 ↔ 7.0 | yellow |
Litmus (azolitmin) | red | 5.0 ↔ 8.0 | blue |
Bromcresol purple | yellow | 5.2 ↔ 6.8 | purple |
Chlorphenol red | yellow | 5.4 ↔ 6.8 | red |
Bromphenol blue | yellow | 6.2 ↔ 7.6 | blue |
Phenol red | yellow | 6.4 ↔ 8.0 | red |
Neutral red | red | 6.8 ↔ 8.0 | yellow |
Rosolic acid | yellow | 6.8 ↔ 8.0 | red |
Cresol red | yellow | 7.2 ↔ 8.8 | red |
α-Naphtholphthalein | rose | 7.3 ↔ 8.7 | green |
Metacresol purple | yellow | 7.4 ↔ 9.0 | violet |
Tropeolin 000 | yellow | 7.6 ↔ 8.9 | rose |
Thymol blue | yellow | 8.0 ↔ 9.6 | blue |
Phenolphthalein | colorless | 8.0 ↔ 10.0 | red |
α-Naphtholbenzein | yellow | 9.0 ↔ 11.0 | blue |
Thymolphthalein | colorless | 9.4 ↔ 10.6 | blue |
Nile blue | blue | 10.0 ↔ 11.1 | red |
Alizarin yellow | yellow | 10.0 ↔ 12.0 | red |
Salicyl yellow | yellow | 10.0 ↔ 12.0 | orange-brown |
Diazo violet | yellow | 10.1 ↔ 12.0 | violet |
Malachite green | green-blue | 10.2 ↔ 12.5 | colorless |
Tropeolin 0 | yellow | 11.0 ↔ 13.0 | orange-brown |
Nitramine | colorless | 11.0 ↔ 13.0 | orange-brown |
Poirrier's blue | blue | 11.0 ↔ 13.0 | pink |
Orange G | yellow | 11.5 ↔ 14.0 | pink |
2,4,6-Trinitrotoluene | colorless | 11.7 ↔ 12.8 | orange |
1,3,5-Trinitrobenzene | colorless | 12.0 ↔ 14.0 | orange |
Trinitrobenzoic acid | colorless | 12.0 ↔ 13.4 | orange |
Activity Series for Metals | |||
Metal | Metal Ion | Activity | |
Lithium (Li) | Li + | Reacts (Violently) With COLD WATER To Form H2 (g) + Metal Hydroxide (aq) |
Reacts (Violently) With SIMPLE ACIDS To Form H2 (g) + Metal Salt (aq) |
Potassium (K) | K + | ||
Barium (Ba) | Ba 2+ | ||
Calcium (Ca) | Ca 2+ | ||
Sodium (Na) | Na + | ||
Strontium (Sr) | Sr 2+ | ||
Magnesium (Mg) | Mg 2+ | Reacts With STEAM To Form H2 (g) + Metal Hydroxide (aq) |
Reacts With SIMPLE ACIDS To Form H2 (g) + Metal Salt (aq) |
Aluminum (Al) | Al 3+ | ||
Manganese (Mn) | Mn 2+ | ||
Zinc (Zn) | Zn 2+ | ||
Chromium (Cr) | Cr 2+ | ||
Iron (Fe) | Fe 2+ | ||
Cadmium (Cd) | Cd 2+ | Reacts With SIMPLE ACIDS To Form H2 (g) + Metal Salt (aq) | |
Cobalt (Co) | Co 2+ | ||
Nickel (Ni) | Ni 2+ | ||
Tin (Sn) | Sn 2+ | ||
Lead (Pb) | Pb 2+ | ||
Hydrogen (H2) | H + | ---------- | |
Antimony (Sb) | Sb 2+ | Reacts With NITRIC ACID (HNO3) To Form Metal Nitrate (aq) + NO (g) | |
Bismuth (Bi) | Bi 2+ | ||
Copper (Cu) | Cu 2+ | ||
Silver (Ag) | Ag + | ||
Mercury (Hg) | Hg 2+ | ||
Platinum (Pt) | Pt + | Reacts only with AQUA REGIA (HNO3 + HCl) To Form Metal Chloride (aq) + NO (g) or NO2 (g) | |
Gold (Au) | Au 3+ |
Selected Radioactive Isotopes | |||
Nuclide | Half Life | Type of Decay | Name |
198 Au | 2.695 days | β - | Gold-198 |
14 C | 5715 years | β - | Carbon-14 |
37 Ca | 182 millisec | β + | Calcium-37 |
60 Co | 5.271 years | β - | Cobalt-60 |
137 Cs | 30.2 years | β - | Cesium-137 |
53 Fe | 8.51 min | β + | Iron-53 |
220 Fr | 27.4 sec | α | Francium-220 |
3 H | 12.31 years | β - | Hydrogen-3 |
131 I | 8.021 days | β - | Iodine-131 |
37 K | 1.23 sec | β + | Potassium-37 |
42 K | 12.36 hours | β - | Potassium-42 |
85 Kr | 10.73 years | β - | Krypton-85 |
16 N | 7.13 sec | β - | Nitrogen-16 |
19 Ne | 17.22 sec | β + | Neon-19 |
32 P | 14.28 days | β - | Phosphorus-32 |
239 Pu | 2.410 x 104 years | α | Plutonium-239 |
226 Ra | 1599 years | α | Radium-226 |
222 Rn | 3.823 days | α | Radon-222 |
90 Sr | 29.1 years | β - | Strontium-90 |
99 Tc | 2.13 x 105 years | β - | Technetium-99 |
232 Th | 1.40 x 1010 years | α | Thorium-232 |
233 U | 1.592 x 105 years | α | Uranium-233 |
235 U | 7.04 x 108 years | α | Uranium-235 |
238 U | 4.47 x 109 years | α | Uranium-238 | Types of Decay |
β - | Beta Decay | z X m → (z + 1) Y m + e - + ve | |
β + | Positron Emission | z X m → (z - 1) Y m + e + + ve | |
α | Alpha Decay | z X m → (z - 2) Y (m - 4) + 2 He 4 |
Types of Chemical Reactions | ||
Description | Boilerplate | Example |
Synthesis | ||
Formation of a Binary Compound | A + B → AB | 2 H2 (g) + O2 (g) → 2 H2O (l) |
Metal Oxide + Water | MO + H2O → base | MgO + H2O (l) → Mg(OH)2 (aq) |
Nonmetal Oxide + Water | (NM)O + H2O → acid | SO2 (g) + H2O (l) → H2SO3 (aq) |
Decomposition | ||
Binary Compounds | AB → A + B | 2 H2O (l) → 2 H2 (g) + O2 (g) |
Metallic Carbonates | MCO3 → MO + CO2 | CaCO3 (s) → CaO (s) + CO2 (g) |
Metallic Hydrogen Carbonates | MHCO3 → MO + H2O (l) + CO2 (g) | NaHCO3 (s) → NaO (s) + H2O (g) + CO2 (g) |
Metallic Hydroxides | MOH → MO + H2O | 2 LiOH (s) → Li2O (s) + H2O (g) |
Metallic Chlorates | MClO3 → MCl + O2 | KClO3 (s) → KCl (s) + O2 (g) |
Oxyacids | acid → (NM)O + H2O | 2 HNO3 (aq) → N2O5 (s) + H2O (g) |
Single Replacement | ||
Metal-Metal Replacement | A + BC → AC + B | 2 Al (s) + 3 NiSO4 (aq) → Al2(SO4)3 (aq) + 3 Ni (s) |
Active Metal + Water | M + H2O → MOH + H2 | 2 Na (s) + 2 H2O (l) → 2 NaOH (aq) + H2 (g) |
Active Metal + Acid | M + HX → MX + H2 | 2 Fe (s) + 6 HBr (aq) → 2 FeBr3 (aq) + 3 H2 (g) |
Halide-Halide Replacement | D + BC → BD + C | Cl2 (g) + 2 KI (aq) → 2 KCl (aq) + I2 (s) |
Double Replacement | ||
Precipitation | AB (aq) + CD (aq) → AD (s) + CB (aq) | AgNO3(aq) + NaCl (aq) → AgCl (s) + NaNO3 (aq) |
Acid-Base Neutralization | HX + MOH → MX + H2O | HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l) |
Combustion | ||
Hydrocarbon + O2 | CmHn + O2 → CO2 + H2O | C3H8 (g) + 5 O2 (g) → 3 CO2 (g) + 4 H2O (g) |
Standard Reduction Potentials | |||||
Half Reaction | E° | ||||
(keep sign) Reduction → | ⇄ | ← Oxidation (flip sign) | Volt | ||
2 KrF2 (aq) + 2 e- | ⇄ | 2 KrF + (aq) + F2 (g) | 3.27 | ||
F2 (g) + 2 H + + 2 e- | ⇄ | 2HF (aq) | 3.05 | ||
F2 (g) + 2 e- | ⇄ | 2 F - | 2.87 | ||
H4XeO6 (aq) + 2 H + + 2 e- | ⇄ | XeO3 (aq) + H2O | 2.42 | ||
XeF2 (aq) + 2 H + + 2 e- | ⇄ | Xe (g) + 2 HF (aq) | 2.32 | ||
FeO4 2- + 3 e- + 8 H + | ⇄ | Fe 3+ + 4 H2O | 2.2 | ||
H4XeO6 (aq) + 8 H + + 8 e- | ⇄ | Xe (g) + 6 H2O | 2.18 | ||
XeO3 (aq) + 6 H + + 6 e- | ⇄ | Xe (g) + 3 H2O | 2.12 | ||
HMnO4 - + 3 H + + 2 e- | ⇄ | MnO2 (s) + 2 H2O | 2.09 | ||
O3 (g) + 2 H + + 2 e- | ⇄ | O2 (g) + H2O | 2.075 | ||
S2O8 2- + 2 e- | ⇄ | 2 SO4 2- | 2.01 | ||
Ag 2+ + e- | ⇄ | Ag + | 1.98 | ||
BrO4- + 2 H + + 2 e- | ⇄ | BrO3- + H2O | 1.85 | ||
Au + + e- | ⇄ | Au (s) | 1.83 | ||
Co 3+ + e- | ⇄ | Co 2+ | 1.82 | ||
H2O2 (aq) + 2 H + + 2 e- | ⇄ | 2 H2O | 1.78 | ||
AgO (s) + 2 H + + e- | ⇄ | Ag + + H2O | 1.77 | ||
MnO4- + 4 H + + 3 e- | ⇄ | MnO2 (s) + 2 H2O | 1.7 | ||
Pb 4+ + 2 e- | ⇄ | Pb 2+ | 1.69 | ||
Ag2O3 (s) + 6 H + + 4 e- | ⇄ | 2 Ag + + 3 H2O | 1.67 | ||
HClO2 (aq) + 2 H + + 2 e- | ⇄ | HClO (aq) + H2O | 1.67 | ||
2 HClO (aq) + 2 H + + 2 e- | ⇄ | Cl2 (g) + 2 H2O | 1.63 | ||
Ce 4+ + e- | ⇄ | Ce 3+ | 1.61 | ||
NiO2 (s) + 4 H + + 2 e- | ⇄ | Ni 2+ + 2 OH - | 1.59 | ||
Au 3+ + 3 e- | ⇄ | Au (s) | 1.52 | ||
HO2 + H + + e- | ⇄ | H2O2 (aq) | 1.51 | ||
MnO4- + 8 H + + 5 e- | ⇄ | Mn 2+ + 4 H2O | 1.51 | ||
2 ClO3- + 12 H + + 10 e- | ⇄ | Cl2 (g) + 6 H2O | 1.49 | ||
HClO (aq) + H + + 2 e- | ⇄ | Cl - (aq) + H2O | 1.49 | ||
2 BrO3- + 12 H + + 10 e- | ⇄ | Br2 (l) + 6 H2O | 1.48 | ||
α-PbO2 (s) + 4 H + + 2 e- | ⇄ | Pb 2+ + 2 H2O | 1.468 | ||
β-PbO2 (s) + 4 H + + 2 e- | ⇄ | Pb 2+ + 2 H2O | 1.46 | ||
BrO3- + 5 H + + 4 e- | ⇄ | HBrO (aq) + 2 H2O | 1.45 | ||
2 HIO (aq) + 2 H + + 2 e- | ⇄ | I2 (s) + 2 H2O | 1.44 | ||
2 NH3OH + + H + + 2 e- | ⇄ | N2H5 + + 2 H2O | 1.42 | ||
CoO2 (s) + 4 H + + e- | ⇄ | Co 3+ + 2 H2O | 1.42 | ||
Cl2 (g) + 2 e- | ⇄ | 2 Cl - | 1.36 | ||
Cr2O7 2- + 14 H + + 6 e- | ⇄ | 2 Cr 3+ + 7 H2O | 1.33 | ||
Tl 3+ + 2 e- | ⇄ | Tl + | 1.25 | ||
[HXeO4] - + 3 H2O + 6 e- | ⇄ | Xe (g) + 7 OH - | 1.24 | ||
MnO2 (s) + 4 H + + 2 e- | ⇄ | Mn 2+ + 2 H2O | 1.23 | ||
O2 (g) + 4 H + + 4 e- | ⇄ | 2 H2O | 1.229 | ||
2 IO3 - + 12 H + + 10 e- | ⇄ | I2 (s) + 6 H2O | 1.2 | ||
ClO4 - + 2 H + + 2 e- | ⇄ | ClO3- + H2O | 1.2 | ||
ClO2 (g) + H + + e- | ⇄ | HClO2 (aq) | 1.19 | ||
Pt 2+ + 2 e- | ⇄ | Pt (s) | 1.188 | ||
[HXeO6] 3- + 5 H2O + 8 e- | ⇄ | Xe (g) + 11 OH - | 1.18 | ||
ClO3 - + 2 H + + e- | ⇄ | ClO2 (g) + H2O | 1.18 | ||
Ag2O (s) + 2 H + + 2 e- | ⇄ | 2 Ag (s) + H2O | 1.17 | ||
[AuCl2] - + e- | ⇄ | Au (s) + 2 Cl - | 1.15 | ||
HSeO4 - + 3 H + + 2 e- | ⇄ | H2SeO3 (aq) + H2O | 1.15 | ||
IO3- + 5 H + + 4 e- | ⇄ | HIO (aq) + 2 H2O | 1.13 | ||
Br2 (aq) + 2 e- | ⇄ | 2 Br - | 1.0873 | ||
Br2 (l) + 2 e- | ⇄ | 2 Br - | 1.066 | ||
H6TeO6 (aq) + 2 H + + 2 e- | ⇄ | TeO2 (s) + 4 H2O | 1.02 | ||
[VO2] + (aq) + 2 H + + e- | ⇄ | [VO] 2+ (aq) + H2O | 1 | ||
[HXeO6] 3- + 2 H2O + 2 e- + | ⇄ | [HXeO4] - + 4 OH - | 0.99 | ||
[AuBr2] - + e- | ⇄ | Au (s) + 2 Br - | 0.96 | ||
MnO2 (s) + 4 H + + e- | ⇄ | Mn 3+ + 2 H2O | 0.95 | ||
[AuCl4] - + 3 e- | ⇄ | Au (s) + 4 Cl - | 0.93 | ||
Pd 2+ + 2 e- | ⇄ | Pd (s) | 0.915 | ||
2 Hg 2+ + 2 e- | ⇄ | Hg2 2+ | 0.91 | ||
MnO4 - + H + + e- | ⇄ | HMnO4- | 0.9 | ||
[IrCl6] 2- + e- | ⇄ | [IrCl6] 3- | 0.87 | ||
[AuBr4] - + 3 e- | ⇄ | Au (s) + 4 Br - | 0.85 | ||
Hg 2+ + 2 e- | ⇄ | Hg (l) | 0.85 | ||
2 FeO4 2- + 5 H2O + 6 e- | ⇄ | Fe2O3 (s) + 10 OH - | 0.81 | ||
Hg2 2+ + 2 e- | ⇄ | 2 Hg (l) | 0.8 | ||
NO3 - (aq) + 2 H + + e- | ⇄ | NO2 (g) + H2O | 0.8 | ||
Ag + + e - | ⇄ | Ag (s) | 0.7996 | ||
PtCl4 2- + 2 e- | ⇄ | Pt (s) + 4 Cl - | 0.758 | ||
H2SeO3 (aq) + 4 H + + 4 e- | ⇄ | Se (s) + 3 H2O | 0.74 | ||
PtCl6 2- + 2 e- | ⇄ | PtCl4 2- + 2 Cl - | 0.726 | ||
Tl 3+ + 3 e- | ⇄ | Tl (s) | 0.72 | ||
O2 (g) + 2 H + + 2 e- | ⇄ | H2O2 (aq) | 0.7 | ||
H2MoO4 (aq) + 2 H + + 2 e- | ⇄ | MoO2 (s) + 2 H2O | 0.65 | ||
S2O3 2- + 6 H + + 4 e- | ⇄ | 2 S (s) + 3 H2O | 0.6 | ||
MnO4 - + 2 H2O + 3 e- | ⇄ | MnO2 (s) + 4 OH - | 0.59 | ||
[AuI2] - + e- | ⇄ | Au (s) + 2 I - | 0.58 | ||
[AuI4] - + 3 e- | ⇄ | Au (s) + 4 I - | 0.56 | ||
Fe 3+ + e - | ⇄ | Fe 2+ | 0.56 | ||
H3AsO4 (aq) + 2 H + + 2 e- | ⇄ | H3AsO3 (aq) + H2O | 0.56 | ||
I2 (s) + 2 e- | ⇄ | 2 I - | 0.54 | ||
I3 - + 2 e- | ⇄ | 3 I - | 0.53 | ||
CO (g) + 2 H + + 2 e- | ⇄ | C (s) + H2O | 0.52 | ||
Cu + + e- | ⇄ | Cu (s) | 0.52 | ||
CH3OH (aq) + 2 H + + 2 e- | ⇄ | CH4 (g) + H2O | 0.5 | ||
SO2 (aq) + 4 H + + 4 e- | ⇄ | S (s) + 2 H2O | 0.5 | ||
H2MoO4 + 6 H + + 3 e- | ⇄ | Mo 3+ + 2 H2O | 0.43 | ||
O2 (g) + 2 H2O + 4 e- | ⇄ | 4 OH - (aq) | 0.401 | ||
[Fe(CN)6] 3- + e- | ⇄ | [Fe(CN)6] 4- | 0.36 | ||
VO 2+ + 2 H + + e- | ⇄ | V 3+ + H2O | 0.34 | ||
Cu 2+ + 2 e- | ⇄ | Cu (s) | 0.337 | ||
Bi 3+ + 3 e- | ⇄ | Bi (s) | 0.308 | ||
Re 3+ + 3 e- | ⇄ | Re (s) | 0.3 | ||
UO 2+ + 4 H + + e- | ⇄ | U 4+ + 2 H2O | 0.273 | ||
GeO (s) + 2 H + + 2 e- | ⇄ | Ge (s) + H2O | 0.26 | ||
H3AsO3 (aq) + 3 H + + 3 e- | ⇄ | As (s) + 3 H2O | 0.24 | ||
AgCl (s) + e- | ⇄ | Ag (s) + Cl - | 0.22233 | ||
SbO + + 2 H + + 3 e- | ⇄ | Sb (s) + H2O | 0.2 | ||
TiO 2+ + 2 H + + e- | ⇄ | Ti 3+ + H2O | 0.19 | ||
SO4 2- + 4 H + + 2 e- | ⇄ | SO2 (aq) + 2 H2O | 0.17 | ||
UO2 2+ + e- | ⇄ | UO 2+ | 0.163 | ||
HSO4- + 3 H + + 2 e- | ⇄ | SO2 (aq) + 2 H2O | 0.16 | ||
Cu 2+ + e- | ⇄ | Cu + | 0.159 | ||
Sn 4+ + 2 e- | ⇄ | Sn 2+ | 0.15 | ||
S (s) + 2 H + + 2 e- | ⇄ | H2S (g) | 0.14 | ||
C (s) + 4 H + + 4 e- | ⇄ | CH4 (g) | 0.13 | ||
HCHO (aq) + 2 H + + 2 e- | ⇄ | CH3OH (aq) | 0.13 | ||
Ge 4+ + 4 e- | ⇄ | Ge (s) | 0.12 | ||
H2MoO4 (aq) + 6 H + + 6 e- | ⇄ | Mo (s) + 4 H2O | 0.11 | ||
N2H4 (aq) + 4 H2O + 2 e- | ⇄ | 2 NH4 + + 4 OH - | 0.11 | ||
Cu(NH3)4 2+ + e- | ⇄ | Cu(NH3) 2+ + 2 NH3 | 0.1 | ||
Ru(NH3)6 3+ + e- | ⇄ | Ru(NH3)6 2+ | 0.1 | ||
HgO (s) + H2O + 2 e- | ⇄ | Hg (l) + 2 OH - | 0.0977 | ||
N2 (g) + 2 H2O + 6 H + + 6 e- | ⇄ | 2 NH4OH (aq) | 0.092 | ||
Fe3O4 (s) + 8 H + + 8 e- | ⇄ | 3 Fe (s) + 4 H2O | 0.085 | ||
S4O6 2- + 2 e- | ⇄ | 2 S2O3 2- | 0.08 | ||
AgBr (s) + e- | ⇄ | Ag (s) + Br - | 0.07133 | ||
2 H + + 2 e- | ⇄ | H2 (g) | 0 | ||
HCOOH (aq) + 2 H + + 2 e- | ⇄ | HCHO (aq) + H2O | -0.03 | ||
Fe 3+ + 3 e- | ⇄ | Fe (s) | -0.04 | ||
P (white) + 3 H + + 3 e- | ⇄ | PH3 (g) | -0.063 | ||
SnO2 (s) + 4 H + + 4 e- | ⇄ | SnO (s) + 2 H2O | -0.09 | ||
WO3 (aq) + 6 H + + 6 e- | ⇄ | W (s) + 3 H2O | -0.09 | ||
SnO (s) + 2 H + + 2 e- | ⇄ | Sn (s) + H2O | -0.1 | ||
CO2 (g) + 2 H + + 2 e- | ⇄ | CO (g) + H2O | -0.11 | ||
CO2 (g) + 2 H + + 2 e- | ⇄ | HCOOH (aq) | -0.11 | ||
Se (s) + 2 H + + 2 e- | ⇄ | H2Se (g) | -0.11 | ||
P (red) + 3 H + + 3 e- | ⇄ | PH3 (g) | -0.111 | ||
WO2 (s) + 4 H + + 4 e- | ⇄ | W (s) + 2 H2O | -0.12 | ||
Pb 2+ + 2 e- | ⇄ | Pb (s) | -0.126 | ||
O2 (g) + H + + e- | ⇄ | HO2 (aq) | -0.13 | ||
Sn 2+ + 2 e- | ⇄ | Sn (s) | -0.13 | ||
Si (s) + 4 H + + 4 e- | ⇄ | SiH4 (g) | -0.14 | ||
MoO2 (s) + 4 H + + 4 e- | ⇄ | Mo (s) + 2 H2O | -0.15 | ||
AgI (s) + e- | ⇄ | Ag (s) + I - | -0.15224 | ||
As (s) + 3 H + + 3 e- | ⇄ | AsH3 (g) | -0.23 | ||
Ni 2+ + 2 e- | ⇄ | Ni (s) | -0.25 | ||
V 3+ + e- | ⇄ | V 2+ | -0.26 | ||
H3PO4 (aq) + 2 H + + 2 e- | ⇄ | H3PO3 (aq) + H2O | -0.276 | ||
Co 2+ + 2 e- | ⇄ | Co (s) | -0.28 | ||
Ge (s) + 4 H + + 4 e- | ⇄ | GeH4 (g) | -0.29 | ||
In 3+ + 3 e- | ⇄ | In (s) | -0.34 | ||
Tl + + e- | ⇄ | Tl (s) | -0.34 | ||
Eu 3+ + e- | ⇄ | Eu 2+ | -0.35 | ||
PbSO4 (s) + 2 e- | ⇄ | Pb(Hg) + SO4 2- | -0.3505 | ||
PbSO4 (s) + 2 e- | ⇄ | Pb (s) + SO4 2- | -0.3588 | ||
Cu2O (s) + H2O + 2 e- | ⇄ | 2 Cu (s) + 2 OH - | -0.36 | ||
GeO2 (s) + 2 H + + 2 e- | ⇄ | GeO (s) + H2O | -0.37 | ||
Cd 2+ + 2 e- | ⇄ | Cd (s) | -0.4 | ||
Cr 3+ + e- | ⇄ | Cr 2+ | -0.42 | ||
2 CO2 (g) + 2 H + + 2 e- | ⇄ | HOOCCOOH (aq) | -0.43 | ||
Fe 2+ + 2 e- | ⇄ | Fe (s) | -0.44 | ||
H3PO3 (aq) + 3 H + + 3 e- | ⇄ | P (red) + 3 H2O | -0.454 | ||
H3PO3 (aq) + 2 H + + 2 e- | ⇄ | H3PO2 (aq) + H2O | -0.499 | ||
H3PO2 (aq) + H + + e- | ⇄ | P (white) + 2 H2O | -0.508 | ||
U 4+ + e- | ⇄ | U 3+ | -0.52 | ||
Ga 3+ + 3 e- | ⇄ | Ga (s) | -0.53 | ||
2 TiO2 (s) + 2 H + + 2 e- | ⇄ | Ti2O3 (s) + H2O | -0.56 | ||
PbO (s) + H2O + 2 e- | ⇄ | Pb (s) + 2 OH - | -0.58 | ||
[Au(CN)2] - + e- | ⇄ | Au (s) + 2 CN - | -0.6 | ||
Ta 3+ + 3 e- | ⇄ | Ta (s) | -0.6 | ||
Cr 3+ + 3 e- | ⇄ | Cr (s) | -0.74 | ||
Ta2O5 (s) + 10 H + + 10 e- | ⇄ | 2 Ta (s) + 5 H2O | -0.75 | ||
Zn 2+ + 2 e- | ⇄ | Zn (s) | -0.7618 | ||
Zn 2+ + 2 e- | ⇄ | Zn(Hg) | -0.7628 | ||
Bi (s) + 3 H + + 3 e- | ⇄ | BiH3 | -0.8 | ||
2 H2O + 2 e- | ⇄ | H2 (g) + 2 OH - | -0.8277 | ||
Fe2O3 (s) + 3 H2O + 2 e- | ⇄ | 2 Fe(OH)2 (s) + 2 OH - | -0.86 | ||
TiO 2+ + 2 H + + 4 e- | ⇄ | Ti (s) + H2O | -0.86 | ||
B(OH)3 (aq) + 3 H + + 3 e- | ⇄ | B (s) + 3 H2O | -0.89 | ||
Fe(OH)2 (s) + 2 e- | ⇄ | Fe (s) + 2 OH - | -0.89 | ||
SiO2 (s) + 4 H + + 4 e- | ⇄ | Si (s) + 2 H2O | -0.91 | ||
Sn (s) + 4 H + + 4 e- | ⇄ | SnH4 (g) | -1.07 | ||
Nb 3+ + 3 e- | ⇄ | Nb (s) | -1.099 | ||
V 2+ + 2 e- | ⇄ | V (s) | -1.13 | ||
Te (s) + 2 e- | ⇄ | Te 2- | -1.143 | ||
Fe(CN)6 4- + 6 H + + 2 e- | ⇄ | Fe (s) + 6 HCN (aq) | -1.16 | ||
Mn 2+ + 2 e- | ⇄ | Mn (s) | -1.185 | ||
Zn(OH)4 2- + 2 e- | ⇄ | Zn (s) + 4 OH - | -1.199 | ||
Ti2O3 (s) + 2 H + + 2 e- | ⇄ | 2 TiO (s) + H2O | -1.23 | ||
TiO (s) + 2 H + + 2 e- | ⇄ | Ti (s) + H2O | -1.31 | ||
Ti 3+ + 3 e- | ⇄ | Ti (s) | -1.37 | ||
Zr 4+ + 4 e- | ⇄ | Zr (s) | -1.45 | ||
ZrO2 (s) + 4 H + + 4 e- | ⇄ | Zr (s) + 2 H2O | -1.553 | ||
Ti 2+ + 2 e- | ⇄ | Ti (s) | -1.63 | ||
Al 3+ + 3 e- | ⇄ | Al (s) | -1.662 | ||
SiO3 2- + H2O + 4 e- | ⇄ | Si + 6 OH - | -1.697 | ||
HPO3 2- + 2 H2O + 3 e- | ⇄ | P + 5 OH - | -1.71 | ||
HfO 2+ + 2 H + + 4 e- | ⇄ | Hf + H2O | -1.724 | ||
ThO2 + 4 H + + 4 e- | ⇄ | Th + 2 H2O | -1.789 | ||
H2BO3- + H2O + 3 e- | ⇄ | B + 4 OH - | -1.79 | ||
Sr 2+ + 2 e- | ⇄ | Sr/Hg | -1.793 | ||
U 3+ + 3 e- | ⇄ | U | -1.798 | ||
H2PO2- + e- | ⇄ | P + 2 OH - | -1.82 | ||
Be 2+ + 2 e- | ⇄ | Be | -1.847 | ||
Np 3+ + 3 e- | ⇄ | Np | -1.856 | ||
Fm 3+ + 3 e- | ⇄ | Fm | -1.89 | ||
Th 4+ + 4 e- | ⇄ | Th | -1.899 | ||
Am 2+ + 2 e- | ⇄ | Am | -1.9 | ||
Pa 4+ + e- | ⇄ | Pa 3+ | -1.9 | ||
Es 3+ + 3 e- | ⇄ | Es | -1.91 | ||
Cf 3+ + 3 e- | ⇄ | Cf | -1.94 | ||
Lr 3+ + 3 e- | ⇄ | Lr | -1.96 | ||
Eu 3+ + 3 e- | ⇄ | Eu | -1.991 | ||
Er 2+ + 2 e- | ⇄ | Er | -2 | ||
Pr 2+ + 2 e- | ⇄ | Pr | -2 | ||
Pu 3+ + 3 e- | ⇄ | Pu | -2.031 | ||
Cm 3+ + 3 e- | ⇄ | Cm | -2.04 | ||
Am 3+ + 3 e- | ⇄ | Am | -2.048 | ||
AlF6 3- + 3 e- | ⇄ | Al + 6 F - | -2.069 | ||
Sc 3+ + 3 e- | ⇄ | Sc (s) | -2.077 | ||
Ho 2+ + 2 e- | ⇄ | Ho | -2.1 | ||
Nd 2+ + 2 e- | ⇄ | Nd | -2.1 | ||
Cf 2+ + 2 e- | ⇄ | Cf | -2.12 | ||
Yb 3+ + 3 e- | ⇄ | Yb | -2.19 | ||
Ac 3+ + 3 e- | ⇄ | Ac | -2.2 | ||
Dy 2+ + 2 e- | ⇄ | Dy | -2.2 | ||
Pm 2+ + 2 e- | ⇄ | Pm | -2.2 | ||
Tm 3+ + e- | ⇄ | Tm 2+ | -2.2 | ||
Es 2+ + 2 e- | ⇄ | Es | -2.23 | ||
H2 + 2 e- | ⇄ | 2 H - | -2.23 | ||
Gd 3+ + 3 e- | ⇄ | Gd | -2.279 | ||
Lu 3+ + 3 e- | ⇄ | Lu | -2.28 | ||
Tb 3+ + 3 e- | ⇄ | Tb | -2.28 | ||
Dy 3+ + 3 e- | ⇄ | Dy | -2.295 | ||
Am 3+ + e- | ⇄ | Am 2+ | -2.3 | ||
Fm 2+ + 2 e- | ⇄ | Fm | -2.3 | ||
Sm 3+ + 3 e- | ⇄ | Sm | -2.304 | ||
Al(OH)3 (s) + 3 e- | ⇄ | Al (s) + 3 OH - | -2.31 | ||
Tm 3+ + 3 e- | ⇄ | Tm | -2.319 | ||
Nd 3+ + 3 e- | ⇄ | Nd | -2.323 | ||
H2AlO3- + H2O + 3 e- | ⇄ | Al + 4 OH - | -2.33 | ||
Ho 3+ + 3 e- | ⇄ | Ho | -2.33 | ||
Er 3+ + 3 e- | ⇄ | Er | -2.331 | ||
Ce 3+ + 3 e- | ⇄ | Ce | -2.336 | ||
Pr 3+ + 3 e- | ⇄ | Pr | -2.353 | ||
ZrO(OH)2 (s) + H2O + 4 e- | ⇄ | Zr (s) + 4 OH - | -2.36 | ||
Mg 2+ + 2 e- | ⇄ | Mg (s) | -2.372 | ||
Y 3+ + 3 e- | ⇄ | Y (s) | -2.372 | ||
La 3+ + 3 e- | ⇄ | La (s) | -2.379 | ||
Md 2+ + 2 e- | ⇄ | Md | -2.4 | ||
Tm 2+ + 2 e- | ⇄ | Tm | -2.4 | ||
Th(OH)4 + 4 e- | ⇄ | Th + 4 OH - | -2.48 | ||
HfO(OH)2 + H2O + 4 e- | ⇄ | Hf + 4 OH - | -2.5 | ||
No 2+ + 2 e- | ⇄ | No | -2.5 | ||
Dy 3+ + e- | ⇄ | Dy 2+ | -2.6 | ||
Pm 3+ + e- | ⇄ | Pm 2+ | -2.6 | ||
Be2O3 2- + 3 H2O + 4 e- | ⇄ | 2 Be + 6 OH - | -2.63 | ||
Sm 2+ + 2 e- | ⇄ | Sm | -2.68 | ||
Mg(OH)2 + 2 e- | ⇄ | Mg + 2 OH - | -2.69 | ||
Mg + + e- | ⇄ | Mg | -2.7 | ||
Nd 3+ + e- | ⇄ | Nd 2+ | -2.7 | ||
Na + + e- | ⇄ | Na (s) | -2.71 | ||
Yb 2+ + 2 e- | ⇄ | Yb | -2.76 | ||
Bk 3+ + e- | ⇄ | Bk 2+ | -2.8 | ||
Ho 3+ + e- | ⇄ | Ho 2+ | -2.8 | ||
Ra 2+ + 2 e- | ⇄ | Ra (s) | -2.8 | ||
Eu 2+ + 2 e- | ⇄ | Eu (s) | -2.812 | ||
Ca 2+ + 2 e- | ⇄ | Ca (s) | -2.868 | ||
Sr(OH)2 + 2 e- | ⇄ | Sr + 2 OH - | -2.88 | ||
Sr 2+ + 2 e- | ⇄ | Sr (s) | -2.899 | ||
Fr + + e- | ⇄ | Fr | -2.9 | ||
La(OH)3 (s) + 3 e- | ⇄ | La (s) + 3 OH - | -2.9 | ||
Ba 2+ + 2 e- | ⇄ | Ba (s) | -2.912 | ||
K + + e- | ⇄ | K (s) | -2.931 | ||
Rb + + e- | ⇄ | Rb (s) | -2.98 | ||
Ba(OH)2 + 2 e- | ⇄ | Ba + 2 OH - | -2.99 | ||
Er 3+ + e- | ⇄ | Er 2+ | -3 | ||
Ca(OH)2 + 2 e- | ⇄ | Ca + 2 OH - | -3.02 | ||
Cs + + e- | ⇄ | Cs (s) | -3.026 | ||
N2 (g) + 4 H2O + 2 e- | ⇄ | 2 NH2OH (aq) + 2 OH - | -3.04 | ||
Li + + e- | ⇄ | Li (s) | -3.0401 | ||
3 N2 (g) + 2 H + + 2 e- | ⇄ | 2 HN3 (aq) | -3.09 | ||
Pr 3+ + e- | ⇄ | Pr 2+ | -3.1 | ||
Ca + + e- | ⇄ | Ca | -3.8 | ||
Sr + + e- | ⇄ | Sr | -4.1 |
Natural Log [ Ln (N) -or- Loge (N) ] | |||||||||||
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
1 | 0 | 0.00995 | 0.0198 | 0.02956 | 0.03922 | 0.04879 | 0.05827 | 0.06766 | 0.07696 | 0.08618 | 1 |
1.1 | 0.09531 | 0.10436 | 0.11333 | 0.12222 | 0.13103 | 0.13976 | 0.14842 | 0.157 | 0.16551 | 0.17395 | 1.1 |
1.2 | 0.18232 | 0.19062 | 0.19885 | 0.20701 | 0.21511 | 0.22314 | 0.23111 | 0.23902 | 0.24686 | 0.25464 | 1.2 |
1.3 | 0.26236 | 0.27003 | 0.27763 | 0.28518 | 0.29267 | 0.3001 | 0.30748 | 0.31481 | 0.32208 | 0.3293 | 1.3 |
1.4 | 0.33647 | 0.34359 | 0.35066 | 0.35767 | 0.36464 | 0.37156 | 0.37844 | 0.38526 | 0.39204 | 0.39878 | 1.4 |
1.5 | 0.40547 | 0.41211 | 0.41871 | 0.42527 | 0.43178 | 0.43825 | 0.44469 | 0.45108 | 0.45742 | 0.46373 | 1.5 |
1.6 | 0.47 | 0.47623 | 0.48243 | 0.48858 | 0.4947 | 0.50078 | 0.50682 | 0.51282 | 0.51879 | 0.52473 | 1.6 |
1.7 | 0.53063 | 0.53649 | 0.54232 | 0.54812 | 0.55389 | 0.55962 | 0.56531 | 0.57098 | 0.57661 | 0.58222 | 1.7 |
1.8 | 0.58779 | 0.59333 | 0.59884 | 0.60432 | 0.60977 | 0.61519 | 0.62058 | 0.62594 | 0.63127 | 0.63658 | 1.8 |
1.9 | 0.64185 | 0.6471 | 0.65233 | 0.65752 | 0.66269 | 0.66783 | 0.67294 | 0.67803 | 0.6831 | 0.68813 | 1.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
2 | 0.69315 | 0.69813 | 0.7031 | 0.70804 | 0.71295 | 0.71784 | 0.72271 | 0.72755 | 0.73237 | 0.73716 | 2 |
2.1 | 0.74194 | 0.74669 | 0.75142 | 0.75612 | 0.76081 | 0.76547 | 0.77011 | 0.77473 | 0.77932 | 0.7839 | 2.1 |
2.2 | 0.78846 | 0.79299 | 0.79751 | 0.802 | 0.80648 | 0.81093 | 0.81536 | 0.81978 | 0.82418 | 0.82855 | 2.2 |
2.3 | 0.83291 | 0.83725 | 0.84157 | 0.84587 | 0.85015 | 0.85442 | 0.85866 | 0.86289 | 0.8671 | 0.87129 | 2.3 |
2.4 | 0.87547 | 0.87963 | 0.88377 | 0.88789 | 0.892 | 0.89609 | 0.90016 | 0.90422 | 0.90826 | 0.91228 | 2.4 |
2.5 | 0.91629 | 0.92028 | 0.92426 | 0.92822 | 0.93216 | 0.93609 | 0.94001 | 0.94391 | 0.94779 | 0.95166 | 2.5 |
2.6 | 0.95551 | 0.95935 | 0.96317 | 0.96698 | 0.97078 | 0.97456 | 0.97833 | 0.98208 | 0.98582 | 0.98954 | 2.6 |
2.7 | 0.99325 | 0.99695 | 1.00063 | 1.0043 | 1.00796 | 1.0116 | 1.01523 | 1.01885 | 1.02245 | 1.02604 | 2.7 |
2.8 | 1.02962 | 1.03318 | 1.03674 | 1.04028 | 1.0438 | 1.04732 | 1.05082 | 1.05431 | 1.05779 | 1.06126 | 2.8 |
2.9 | 1.06471 | 1.06815 | 1.07158 | 1.075 | 1.07841 | 1.08181 | 1.08519 | 1.08856 | 1.09192 | 1.09527 | 2.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
3 | 1.09861 | 1.10194 | 1.10526 | 1.10856 | 1.11186 | 1.11514 | 1.11841 | 1.12168 | 1.12493 | 1.12817 | 3 |
3.1 | 1.1314 | 1.13462 | 1.13783 | 1.14103 | 1.14422 | 1.1474 | 1.15057 | 1.15373 | 1.15688 | 1.16002 | 3.1 |
3.2 | 1.16315 | 1.16627 | 1.16938 | 1.17248 | 1.17557 | 1.17865 | 1.18173 | 1.18479 | 1.18784 | 1.19089 | 3.2 |
3.3 | 1.19392 | 1.19695 | 1.19996 | 1.20297 | 1.20597 | 1.20896 | 1.21194 | 1.21491 | 1.21788 | 1.22083 | 3.3 |
3.4 | 1.22378 | 1.22671 | 1.22964 | 1.23256 | 1.23547 | 1.23837 | 1.24127 | 1.24415 | 1.24703 | 1.2499 | 3.4 |
3.5 | 1.25276 | 1.25562 | 1.25846 | 1.2613 | 1.26413 | 1.26695 | 1.26976 | 1.27257 | 1.27536 | 1.27815 | 3.5 |
3.6 | 1.28093 | 1.28371 | 1.28647 | 1.28923 | 1.29198 | 1.29473 | 1.29746 | 1.30019 | 1.30291 | 1.30563 | 3.6 |
3.7 | 1.30833 | 1.31103 | 1.31372 | 1.31641 | 1.31909 | 1.32176 | 1.32442 | 1.32708 | 1.32972 | 1.33237 | 3.7 |
3.8 | 1.335 | 1.33763 | 1.34025 | 1.34286 | 1.34547 | 1.34807 | 1.35067 | 1.35325 | 1.35584 | 1.35841 | 3.8 |
3.9 | 1.36098 | 1.36354 | 1.36609 | 1.36864 | 1.37118 | 1.37372 | 1.37624 | 1.37877 | 1.38128 | 1.38379 | 3.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
4 | 1.38629 | 1.38879 | 1.39128 | 1.39377 | 1.39624 | 1.39872 | 1.40118 | 1.40364 | 1.4061 | 1.40854 | 4 |
4.1 | 1.41099 | 1.41342 | 1.41585 | 1.41828 | 1.4207 | 1.42311 | 1.42552 | 1.42792 | 1.43031 | 1.4327 | 4.1 |
4.2 | 1.43508 | 1.43746 | 1.43984 | 1.4422 | 1.44456 | 1.44692 | 1.44927 | 1.45161 | 1.45395 | 1.45629 | 4.2 |
4.3 | 1.45862 | 1.46094 | 1.46326 | 1.46557 | 1.46787 | 1.47018 | 1.47247 | 1.47476 | 1.47705 | 1.47933 | 4.3 |
4.4 | 1.4816 | 1.48387 | 1.48614 | 1.4884 | 1.49065 | 1.4929 | 1.49515 | 1.49739 | 1.49962 | 1.50185 | 4.4 |
4.5 | 1.50408 | 1.5063 | 1.50851 | 1.51072 | 1.51293 | 1.51513 | 1.51732 | 1.51951 | 1.5217 | 1.52388 | 4.5 |
4.6 | 1.52606 | 1.52823 | 1.53039 | 1.53256 | 1.53471 | 1.53687 | 1.53902 | 1.54116 | 1.5433 | 1.54543 | 4.6 |
4.7 | 1.54756 | 1.54969 | 1.55181 | 1.55393 | 1.55604 | 1.55814 | 1.56025 | 1.56235 | 1.56444 | 1.56653 | 4.7 |
4.8 | 1.56862 | 1.5707 | 1.57277 | 1.57485 | 1.57691 | 1.57898 | 1.58104 | 1.58309 | 1.58515 | 1.58719 | 4.8 |
4.9 | 1.58924 | 1.59127 | 1.59331 | 1.59534 | 1.59737 | 1.59939 | 1.60141 | 1.60342 | 1.60543 | 1.60744 | 4.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
5 | 1.60944 | 1.61144 | 1.61343 | 1.61542 | 1.61741 | 1.61939 | 1.62137 | 1.62334 | 1.62531 | 1.62728 | 5 |
5.1 | 1.62924 | 1.6312 | 1.63315 | 1.63511 | 1.63705 | 1.639 | 1.64094 | 1.64287 | 1.64481 | 1.64673 | 5.1 |
5.2 | 1.64866 | 1.65058 | 1.6525 | 1.65441 | 1.65632 | 1.65823 | 1.66013 | 1.66203 | 1.66393 | 1.66582 | 5.2 |
5.3 | 1.66771 | 1.66959 | 1.67147 | 1.67335 | 1.67523 | 1.6771 | 1.67896 | 1.68083 | 1.68269 | 1.68455 | 5.3 |
5.4 | 1.6864 | 1.68825 | 1.6901 | 1.69194 | 1.69378 | 1.69562 | 1.69745 | 1.69928 | 1.70111 | 1.70293 | 5.4 |
5.5 | 1.70475 | 1.70656 | 1.70838 | 1.71019 | 1.71199 | 1.7138 | 1.7156 | 1.7174 | 1.71919 | 1.72098 | 5.5 |
5.6 | 1.72277 | 1.72455 | 1.72633 | 1.72811 | 1.72988 | 1.73166 | 1.73342 | 1.73519 | 1.73695 | 1.73871 | 5.6 |
5.7 | 1.74047 | 1.74222 | 1.74397 | 1.74572 | 1.74746 | 1.7492 | 1.75094 | 1.75267 | 1.7544 | 1.75613 | 5.7 |
5.8 | 1.75786 | 1.75958 | 1.7613 | 1.76302 | 1.76473 | 1.76644 | 1.76815 | 1.76985 | 1.77156 | 1.77326 | 5.8 |
5.9 | 1.77495 | 1.77665 | 1.77834 | 1.78002 | 1.78171 | 1.78339 | 1.78507 | 1.78675 | 1.78842 | 1.79009 | 5.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
6 | 1.79176 | 1.79342 | 1.79509 | 1.79675 | 1.7984 | 1.80006 | 1.80171 | 1.80336 | 1.805 | 1.80665 | 6 |
6.1 | 1.80829 | 1.80993 | 1.81156 | 1.81319 | 1.81482 | 1.81645 | 1.81808 | 1.8197 | 1.82132 | 1.82294 | 6.1 |
6.2 | 1.82455 | 1.82616 | 1.82777 | 1.82938 | 1.83098 | 1.83258 | 1.83418 | 1.83578 | 1.83737 | 1.83896 | 6.2 |
6.3 | 1.84055 | 1.84214 | 1.84372 | 1.8453 | 1.84688 | 1.84845 | 1.85003 | 1.8516 | 1.85317 | 1.85473 | 6.3 |
6.4 | 1.8563 | 1.85786 | 1.85942 | 1.86097 | 1.86253 | 1.86408 | 1.86563 | 1.86718 | 1.86872 | 1.87026 | 6.4 |
6.5 | 1.8718 | 1.87334 | 1.87487 | 1.87641 | 1.87794 | 1.87947 | 1.88099 | 1.88251 | 1.88403 | 1.88555 | 6.5 |
6.6 | 1.88707 | 1.88858 | 1.8901 | 1.8916 | 1.89311 | 1.89462 | 1.89612 | 1.89762 | 1.89912 | 1.90061 | 6.6 |
6.7 | 1.90211 | 1.9036 | 1.90509 | 1.90658 | 1.90806 | 1.90954 | 1.91102 | 1.9125 | 1.91398 | 1.91545 | 6.7 |
6.8 | 1.91692 | 1.91839 | 1.91986 | 1.92132 | 1.92279 | 1.92425 | 1.92571 | 1.92716 | 1.92862 | 1.93007 | 6.8 |
6.9 | 1.93152 | 1.93297 | 1.93442 | 1.93586 | 1.9373 | 1.93874 | 1.94018 | 1.94162 | 1.94305 | 1.94448 | 6.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
7 | 1.94591 | 1.94734 | 1.94876 | 1.95019 | 1.95161 | 1.95303 | 1.95445 | 1.95586 | 1.95727 | 1.95869 | 7 |
7.1 | 1.96009 | 1.9615 | 1.96291 | 1.96431 | 1.96571 | 1.96711 | 1.96851 | 1.96991 | 1.9713 | 1.97269 | 7.1 |
7.2 | 1.97408 | 1.97547 | 1.97685 | 1.97824 | 1.97962 | 1.981 | 1.98238 | 1.98376 | 1.98513 | 1.9865 | 7.2 |
7.3 | 1.98787 | 1.98924 | 1.99061 | 1.99198 | 1.99334 | 1.9947 | 1.99606 | 1.99742 | 1.99877 | 2.00013 | 7.3 |
7.4 | 2.00148 | 2.00283 | 2.00418 | 2.00553 | 2.00687 | 2.00821 | 2.00956 | 2.01089 | 2.01223 | 2.01357 | 7.4 |
7.5 | 2.0149 | 2.01624 | 2.01757 | 2.0189 | 2.02022 | 2.02155 | 2.02287 | 2.02419 | 2.02551 | 2.02683 | 7.5 |
7.6 | 2.02815 | 2.02946 | 2.03078 | 2.03209 | 2.0334 | 2.03471 | 2.03601 | 2.03732 | 2.03862 | 2.03992 | 7.6 |
7.7 | 2.04122 | 2.04252 | 2.04381 | 2.04511 | 2.0464 | 2.04769 | 2.04898 | 2.05027 | 2.05156 | 2.05284 | 7.7 |
7.8 | 2.05412 | 2.0554 | 2.05668 | 2.05796 | 2.05924 | 2.06051 | 2.06179 | 2.06306 | 2.06433 | 2.0656 | 7.8 |
7.9 | 2.06686 | 2.06813 | 2.06939 | 2.07065 | 2.07191 | 2.07317 | 2.07443 | 2.07568 | 2.07694 | 2.07819 | 7.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
8 | 2.07944 | 2.08069 | 2.08194 | 2.08318 | 2.08443 | 2.08567 | 2.08691 | 2.08815 | 2.08939 | 2.09063 | 8 |
8.1 | 2.09186 | 2.0931 | 2.09433 | 2.09556 | 2.09679 | 2.09802 | 2.09924 | 2.10047 | 2.10169 | 2.10291 | 8.1 |
8.2 | 2.10413 | 2.10535 | 2.10657 | 2.10779 | 2.109 | 2.11021 | 2.11142 | 2.11263 | 2.11384 | 2.11505 | 8.2 |
8.3 | 2.11626 | 2.11746 | 2.11866 | 2.11986 | 2.12106 | 2.12226 | 2.12346 | 2.12465 | 2.12585 | 2.12704 | 8.3 |
8.4 | 2.12823 | 2.12942 | 2.13061 | 2.1318 | 2.13298 | 2.13417 | 2.13535 | 2.13653 | 2.13771 | 2.13889 | 8.4 |
8.5 | 2.14007 | 2.14124 | 2.14242 | 2.14359 | 2.14476 | 2.14593 | 2.1471 | 2.14827 | 2.14943 | 2.1506 | 8.5 |
8.6 | 2.15176 | 2.15292 | 2.15409 | 2.15524 | 2.1564 | 2.15756 | 2.15871 | 2.15987 | 2.16102 | 2.16217 | 8.6 |
8.7 | 2.16332 | 2.16447 | 2.16562 | 2.16677 | 2.16791 | 2.16905 | 2.1702 | 2.17134 | 2.17248 | 2.17361 | 8.7 |
8.8 | 2.17475 | 2.17589 | 2.17702 | 2.17816 | 2.17929 | 2.18042 | 2.18155 | 2.18267 | 2.1838 | 2.18493 | 8.8 |
8.9 | 2.18605 | 2.18717 | 2.1883 | 2.18942 | 2.19054 | 2.19165 | 2.19277 | 2.19389 | 2.195 | 2.19611 | 8.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
9 | 2.19722 | 2.19834 | 2.19944 | 2.20055 | 2.20166 | 2.20276 | 2.20387 | 2.20497 | 2.20607 | 2.20717 | 9 |
9.1 | 2.20827 | 2.20937 | 2.21047 | 2.21157 | 2.21266 | 2.21375 | 2.21485 | 2.21594 | 2.21703 | 2.21812 | 9.1 |
9.2 | 2.2192 | 2.22029 | 2.22138 | 2.22246 | 2.22354 | 2.22462 | 2.2257 | 2.22678 | 2.22786 | 2.22894 | 9.2 |
9.3 | 2.23001 | 2.23109 | 2.23216 | 2.23324 | 2.23431 | 2.23538 | 2.23645 | 2.23751 | 2.23858 | 2.23965 | 9.3 |
9.4 | 2.24071 | 2.24177 | 2.24284 | 2.2439 | 2.24496 | 2.24601 | 2.24707 | 2.24813 | 2.24918 | 2.25024 | 9.4 |
9.5 | 2.25129 | 2.25234 | 2.25339 | 2.25444 | 2.25549 | 2.25654 | 2.25759 | 2.25863 | 2.25968 | 2.26072 | 9.5 |
9.6 | 2.26176 | 2.2628 | 2.26384 | 2.26488 | 2.26592 | 2.26696 | 2.26799 | 2.26903 | 2.27006 | 2.27109 | 9.6 |
9.7 | 2.27213 | 2.27316 | 2.27419 | 2.27521 | 2.27624 | 2.27727 | 2.27829 | 2.27932 | 2.28034 | 2.28136 | 9.7 |
9.8 | 2.28238 | 2.2834 | 2.28442 | 2.28544 | 2.28646 | 2.28747 | 2.28849 | 2.2895 | 2.29051 | 2.29152 | 9.8 |
9.9 | 2.29253 | 2.29354 | 2.29455 | 2.29556 | 2.29657 | 2.29757 | 2.29858 | 2.29958 | 2.30058 | 2.30158 | 9.9 |
10 | 2.30259 | 2.30358 | 2.30458 | 2.30558 | 2.30658 | 2.30757 | 2.30857 | 2.30956 | 2.31055 | 2.31154 | 10 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
Common Log [ Log10 (N) ] | |||||||||||
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
1 | 0 | 0.00432 | 0.0086 | 0.01284 | 0.01703 | 0.02119 | 0.02531 | 0.02938 | 0.03342 | 0.03743 | 1 |
1.1 | 0.04139 | 0.04532 | 0.04922 | 0.05308 | 0.0569 | 0.0607 | 0.06446 | 0.06819 | 0.07188 | 0.07555 | 1.1 |
1.2 | 0.07918 | 0.08279 | 0.08636 | 0.08991 | 0.09342 | 0.09691 | 0.10037 | 0.1038 | 0.10721 | 0.11059 | 1.2 |
1.3 | 0.11394 | 0.11727 | 0.12057 | 0.12385 | 0.1271 | 0.13033 | 0.13354 | 0.13672 | 0.13988 | 0.14301 | 1.3 |
1.4 | 0.14613 | 0.14922 | 0.15229 | 0.15534 | 0.15836 | 0.16137 | 0.16435 | 0.16732 | 0.17026 | 0.17319 | 1.4 |
1.5 | 0.17609 | 0.17898 | 0.18184 | 0.18469 | 0.18752 | 0.19033 | 0.19312 | 0.1959 | 0.19866 | 0.2014 | 1.5 |
1.6 | 0.20412 | 0.20683 | 0.20952 | 0.21219 | 0.21484 | 0.21748 | 0.22011 | 0.22272 | 0.22531 | 0.22789 | 1.6 |
1.7 | 0.23045 | 0.233 | 0.23553 | 0.23805 | 0.24055 | 0.24304 | 0.24551 | 0.24797 | 0.25042 | 0.25285 | 1.7 |
1.8 | 0.25527 | 0.25768 | 0.26007 | 0.26245 | 0.26482 | 0.26717 | 0.26951 | 0.27184 | 0.27416 | 0.27646 | 1.8 |
1.9 | 0.27875 | 0.28103 | 0.2833 | 0.28556 | 0.2878 | 0.29003 | 0.29226 | 0.29447 | 0.29667 | 0.29885 | 1.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
2 | 0.30103 | 0.3032 | 0.30535 | 0.3075 | 0.30963 | 0.31175 | 0.31387 | 0.31597 | 0.31806 | 0.32015 | 2 |
2.1 | 0.32222 | 0.32428 | 0.32634 | 0.32838 | 0.33041 | 0.33244 | 0.33445 | 0.33646 | 0.33846 | 0.34044 | 2.1 |
2.2 | 0.34242 | 0.34439 | 0.34635 | 0.3483 | 0.35025 | 0.35218 | 0.35411 | 0.35603 | 0.35793 | 0.35984 | 2.2 |
2.3 | 0.36173 | 0.36361 | 0.36549 | 0.36736 | 0.36922 | 0.37107 | 0.37291 | 0.37475 | 0.37658 | 0.3784 | 2.3 |
2.4 | 0.38021 | 0.38202 | 0.38382 | 0.38561 | 0.38739 | 0.38917 | 0.39094 | 0.3927 | 0.39445 | 0.3962 | 2.4 |
2.5 | 0.39794 | 0.39967 | 0.4014 | 0.40312 | 0.40483 | 0.40654 | 0.40824 | 0.40993 | 0.41162 | 0.4133 | 2.5 |
2.6 | 0.41497 | 0.41664 | 0.4183 | 0.41996 | 0.4216 | 0.42325 | 0.42488 | 0.42651 | 0.42813 | 0.42975 | 2.6 |
2.7 | 0.43136 | 0.43297 | 0.43457 | 0.43616 | 0.43775 | 0.43933 | 0.44091 | 0.44248 | 0.44404 | 0.4456 | 2.7 |
2.8 | 0.44716 | 0.44871 | 0.45025 | 0.45179 | 0.45332 | 0.45484 | 0.45637 | 0.45788 | 0.45939 | 0.4609 | 2.8 |
2.9 | 0.4624 | 0.46389 | 0.46538 | 0.46687 | 0.46835 | 0.46982 | 0.47129 | 0.47276 | 0.47422 | 0.47567 | 2.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
3 | 0.47712 | 0.47857 | 0.48001 | 0.48144 | 0.48287 | 0.4843 | 0.48572 | 0.48714 | 0.48855 | 0.48996 | 3 |
3.1 | 0.49136 | 0.49276 | 0.49415 | 0.49554 | 0.49693 | 0.49831 | 0.49969 | 0.50106 | 0.50243 | 0.50379 | 3.1 |
3.2 | 0.50515 | 0.50651 | 0.50786 | 0.5092 | 0.51055 | 0.51188 | 0.51322 | 0.51455 | 0.51587 | 0.5172 | 3.2 |
3.3 | 0.51851 | 0.51983 | 0.52114 | 0.52244 | 0.52375 | 0.52504 | 0.52634 | 0.52763 | 0.52892 | 0.5302 | 3.3 |
3.4 | 0.53148 | 0.53275 | 0.53403 | 0.53529 | 0.53656 | 0.53782 | 0.53908 | 0.54033 | 0.54158 | 0.54283 | 3.4 |
3.5 | 0.54407 | 0.54531 | 0.54654 | 0.54777 | 0.549 | 0.55023 | 0.55145 | 0.55267 | 0.55388 | 0.55509 | 3.5 |
3.6 | 0.5563 | 0.55751 | 0.55871 | 0.55991 | 0.5611 | 0.56229 | 0.56348 | 0.56467 | 0.56585 | 0.56703 | 3.6 |
3.7 | 0.5682 | 0.56937 | 0.57054 | 0.57171 | 0.57287 | 0.57403 | 0.57519 | 0.57634 | 0.57749 | 0.57864 | 3.7 |
3.8 | 0.57978 | 0.58092 | 0.58206 | 0.5832 | 0.58433 | 0.58546 | 0.58659 | 0.58771 | 0.58883 | 0.58995 | 3.8 |
3.9 | 0.59106 | 0.59218 | 0.59329 | 0.59439 | 0.5955 | 0.5966 | 0.5977 | 0.59879 | 0.59988 | 0.60097 | 3.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
4 | 0.60206 | 0.60314 | 0.60423 | 0.60531 | 0.60638 | 0.60746 | 0.60853 | 0.60959 | 0.61066 | 0.61172 | 4 |
4.1 | 0.61278 | 0.61384 | 0.6149 | 0.61595 | 0.617 | 0.61805 | 0.61909 | 0.62014 | 0.62118 | 0.62221 | 4.1 |
4.2 | 0.62325 | 0.62428 | 0.62531 | 0.62634 | 0.62737 | 0.62839 | 0.62941 | 0.63043 | 0.63144 | 0.63246 | 4.2 |
4.3 | 0.63347 | 0.63448 | 0.63548 | 0.63649 | 0.63749 | 0.63849 | 0.63949 | 0.64048 | 0.64147 | 0.64246 | 4.3 |
4.4 | 0.64345 | 0.64444 | 0.64542 | 0.6464 | 0.64738 | 0.64836 | 0.64933 | 0.65031 | 0.65128 | 0.65225 | 4.4 |
4.5 | 0.65321 | 0.65418 | 0.65514 | 0.6561 | 0.65706 | 0.65801 | 0.65896 | 0.65992 | 0.66087 | 0.66181 | 4.5 |
4.6 | 0.66276 | 0.6637 | 0.66464 | 0.66558 | 0.66652 | 0.66745 | 0.66839 | 0.66932 | 0.67025 | 0.67117 | 4.6 |
4.7 | 0.6721 | 0.67302 | 0.67394 | 0.67486 | 0.67578 | 0.67669 | 0.67761 | 0.67852 | 0.67943 | 0.68034 | 4.7 |
4.8 | 0.68124 | 0.68215 | 0.68305 | 0.68395 | 0.68485 | 0.68574 | 0.68664 | 0.68753 | 0.68842 | 0.68931 | 4.8 |
4.9 | 0.6902 | 0.69108 | 0.69197 | 0.69285 | 0.69373 | 0.69461 | 0.69548 | 0.69636 | 0.69723 | 0.6981 | 4.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
5 | 0.69897 | 0.69984 | 0.7007 | 0.70157 | 0.70243 | 0.70329 | 0.70415 | 0.70501 | 0.70586 | 0.70672 | 5 |
5.1 | 0.70757 | 0.70842 | 0.70927 | 0.71012 | 0.71096 | 0.71181 | 0.71265 | 0.71349 | 0.71433 | 0.71517 | 5.1 |
5.2 | 0.716 | 0.71684 | 0.71767 | 0.7185 | 0.71933 | 0.72016 | 0.72099 | 0.72181 | 0.72263 | 0.72346 | 5.2 |
5.3 | 0.72428 | 0.72509 | 0.72591 | 0.72673 | 0.72754 | 0.72835 | 0.72916 | 0.72997 | 0.73078 | 0.73159 | 5.3 |
5.4 | 0.73239 | 0.7332 | 0.734 | 0.7348 | 0.7356 | 0.7364 | 0.73719 | 0.73799 | 0.73878 | 0.73957 | 5.4 |
5.5 | 0.74036 | 0.74115 | 0.74194 | 0.74273 | 0.74351 | 0.74429 | 0.74507 | 0.74586 | 0.74663 | 0.74741 | 5.5 |
5.6 | 0.74819 | 0.74896 | 0.74974 | 0.75051 | 0.75128 | 0.75205 | 0.75282 | 0.75358 | 0.75435 | 0.75511 | 5.6 |
5.7 | 0.75587 | 0.75664 | 0.7574 | 0.75815 | 0.75891 | 0.75967 | 0.76042 | 0.76118 | 0.76193 | 0.76268 | 5.7 |
5.8 | 0.76343 | 0.76418 | 0.76492 | 0.76567 | 0.76641 | 0.76716 | 0.7679 | 0.76864 | 0.76938 | 0.77012 | 5.8 |
5.9 | 0.77085 | 0.77159 | 0.77232 | 0.77305 | 0.77379 | 0.77452 | 0.77525 | 0.77597 | 0.7767 | 0.77743 | 5.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
6 | 0.77815 | 0.77887 | 0.7796 | 0.78032 | 0.78104 | 0.78176 | 0.78247 | 0.78319 | 0.7839 | 0.78462 | 6 |
6.1 | 0.78533 | 0.78604 | 0.78675 | 0.78746 | 0.78817 | 0.78888 | 0.78958 | 0.79029 | 0.79099 | 0.79169 | 6.1 |
6.2 | 0.79239 | 0.79309 | 0.79379 | 0.79449 | 0.79518 | 0.79588 | 0.79657 | 0.79727 | 0.79796 | 0.79865 | 6.2 |
6.3 | 0.79934 | 0.80003 | 0.80072 | 0.8014 | 0.80209 | 0.80277 | 0.80346 | 0.80414 | 0.80482 | 0.8055 | 6.3 |
6.4 | 0.80618 | 0.80686 | 0.80754 | 0.80821 | 0.80889 | 0.80956 | 0.81023 | 0.8109 | 0.81158 | 0.81224 | 6.4 |
6.5 | 0.81291 | 0.81358 | 0.81425 | 0.81491 | 0.81558 | 0.81624 | 0.8169 | 0.81757 | 0.81823 | 0.81889 | 6.5 |
6.6 | 0.81954 | 0.8202 | 0.82086 | 0.82151 | 0.82217 | 0.82282 | 0.82347 | 0.82413 | 0.82478 | 0.82543 | 6.6 |
6.7 | 0.82607 | 0.82672 | 0.82737 | 0.82802 | 0.82866 | 0.8293 | 0.82995 | 0.83059 | 0.83123 | 0.83187 | 6.7 |
6.8 | 0.83251 | 0.83315 | 0.83378 | 0.83442 | 0.83506 | 0.83569 | 0.83632 | 0.83696 | 0.83759 | 0.83822 | 6.8 |
6.9 | 0.83885 | 0.83948 | 0.84011 | 0.84073 | 0.84136 | 0.84198 | 0.84261 | 0.84323 | 0.84386 | 0.84448 | 6.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
7 | 0.8451 | 0.84572 | 0.84634 | 0.84696 | 0.84757 | 0.84819 | 0.8488 | 0.84942 | 0.85003 | 0.85065 | 7 |
7.1 | 0.85126 | 0.85187 | 0.85248 | 0.85309 | 0.8537 | 0.85431 | 0.85491 | 0.85552 | 0.85612 | 0.85673 | 7.1 |
7.2 | 0.85733 | 0.85794 | 0.85854 | 0.85914 | 0.85974 | 0.86034 | 0.86094 | 0.86153 | 0.86213 | 0.86273 | 7.2 |
7.3 | 0.86332 | 0.86392 | 0.86451 | 0.8651 | 0.8657 | 0.86629 | 0.86688 | 0.86747 | 0.86806 | 0.86864 | 7.3 |
7.4 | 0.86923 | 0.86982 | 0.8704 | 0.87099 | 0.87157 | 0.87216 | 0.87274 | 0.87332 | 0.8739 | 0.87448 | 7.4 |
7.5 | 0.87506 | 0.87564 | 0.87622 | 0.87679 | 0.87737 | 0.87795 | 0.87852 | 0.8791 | 0.87967 | 0.88024 | 7.5 |
7.6 | 0.88081 | 0.88138 | 0.88195 | 0.88252 | 0.88309 | 0.88366 | 0.88423 | 0.8848 | 0.88536 | 0.88593 | 7.6 |
7.7 | 0.88649 | 0.88705 | 0.88762 | 0.88818 | 0.88874 | 0.8893 | 0.88986 | 0.89042 | 0.89098 | 0.89154 | 7.7 |
7.8 | 0.89209 | 0.89265 | 0.89321 | 0.89376 | 0.89432 | 0.89487 | 0.89542 | 0.89597 | 0.89653 | 0.89708 | 7.8 |
7.9 | 0.89763 | 0.89818 | 0.89873 | 0.89927 | 0.89982 | 0.90037 | 0.90091 | 0.90146 | 0.902 | 0.90255 | 7.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
8.0 | 0.90309 | 0.90363 | 0.90417 | 0.90472 | 0.90526 | 0.9058 | 0.90634 | 0.90687 | 0.90741 | 0.90795 | 8.0 |
8.1 | 0.90849 | 0.90902 | 0.90956 | 0.91009 | 0.91062 | 0.91116 | 0.91169 | 0.91222 | 0.91275 | 0.91328 | 8.1 |
8.2 | 0.91381 | 0.91434 | 0.91487 | 0.9154 | 0.91593 | 0.91645 | 0.91698 | 0.91751 | 0.91803 | 0.91855 | 8.2 |
8.3 | 0.91908 | 0.9196 | 0.92012 | 0.92065 | 0.92117 | 0.92169 | 0.92221 | 0.92273 | 0.92324 | 0.92376 | 8.3 |
8.4 | 0.92428 | 0.9248 | 0.92531 | 0.92583 | 0.92634 | 0.92686 | 0.92737 | 0.92788 | 0.9284 | 0.92891 | 8.4 |
8.5 | 0.92942 | 0.92993 | 0.93044 | 0.93095 | 0.93146 | 0.93197 | 0.93247 | 0.93298 | 0.93349 | 0.93399 | 8.5 |
8.6 | 0.9345 | 0.935 | 0.93551 | 0.93601 | 0.93651 | 0.93702 | 0.93752 | 0.93802 | 0.93852 | 0.93902 | 8.6 |
8.7 | 0.93952 | 0.94002 | 0.94052 | 0.94101 | 0.94151 | 0.94201 | 0.9425 | 0.943 | 0.94349 | 0.94399 | 8.7 |
8.8 | 0.94448 | 0.94498 | 0.94547 | 0.94596 | 0.94645 | 0.94694 | 0.94743 | 0.94792 | 0.94841 | 0.9489 | 8.8 |
8.9 | 0.94939 | 0.94988 | 0.95036 | 0.95085 | 0.95134 | 0.95182 | 0.95231 | 0.95279 | 0.95328 | 0.95376 | 8.9 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
9.0 | 0.95424 | 0.95472 | 0.95521 | 0.95569 | 0.95617 | 0.95665 | 0.95713 | 0.95761 | 0.95809 | 0.95856 | 9.0 |
9.1 | 0.95904 | 0.95952 | 0.95999 | 0.96047 | 0.96095 | 0.96142 | 0.9619 | 0.96237 | 0.96284 | 0.96332 | 9.1 |
9.2 | 0.96379 | 0.96426 | 0.96473 | 0.9652 | 0.96567 | 0.96614 | 0.96661 | 0.96708 | 0.96755 | 0.96802 | 9.2 |
9.3 | 0.96848 | 0.96895 | 0.96942 | 0.96988 | 0.97035 | 0.97081 | 0.97128 | 0.97174 | 0.9722 | 0.97267 | 9.3 |
9.4 | 0.97313 | 0.97359 | 0.97405 | 0.97451 | 0.97497 | 0.97543 | 0.97589 | 0.97635 | 0.97681 | 0.97727 | 9.4 |
9.5 | 0.97772 | 0.97818 | 0.97864 | 0.97909 | 0.97955 | 0.98 | 0.98046 | 0.98091 | 0.98137 | 0.98182 | 9.5 |
9.6 | 0.98227 | 0.98272 | 0.98318 | 0.98363 | 0.98408 | 0.98453 | 0.98498 | 0.98543 | 0.98588 | 0.98632 | 9.6 |
9.7 | 0.98677 | 0.98722 | 0.98767 | 0.98811 | 0.98856 | 0.989 | 0.98945 | 0.98989 | 0.99034 | 0.99078 | 9.7 |
9.8 | 0.99123 | 0.99167 | 0.99211 | 0.99255 | 0.993 | 0.99344 | 0.99388 | 0.99432 | 0.99476 | 0.9952 | 9.8 |
9.9 | 0.99564 | 0.99607 | 0.99651 | 0.99695 | 0.99739 | 0.99782 | 0.99826 | 0.9987 | 0.99913 | 0.99957 | 9.9 |
10 | 1 | 1.00043 | 1.00087 | 1.0013 | 1.00173 | 1.00217 | 1.0026 | 1.00303 | 1.00346 | 1.00389 | 10 |
N | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | N |
Trigonometry Table (Sin Cos Tan) | |||||||||||||
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
0 | 0 | 1 | 0 | ♦ | 30 | 0.5 | 0.86603 | 0.57735 | ♦ | 60 | 0.86603 | 0.5 | 1.73205 |
0.1 | 0.00175 | 1 | 0.00175 | ♦ | 30.1 | 0.50151 | 0.86515 | 0.57968 | ♦ | 60.1 | 0.8669 | 0.49849 | 1.73905 |
0.2 | 0.00349 | 0.99999 | 0.00349 | ♦ | 30.2 | 0.50302 | 0.86427 | 0.58201 | ♦ | 60.2 | 0.86777 | 0.49697 | 1.7461 |
0.3 | 0.00524 | 0.99999 | 0.00524 | ♦ | 30.3 | 0.50453 | 0.8634 | 0.58435 | ♦ | 60.3 | 0.86863 | 0.49546 | 1.75319 |
0.4 | 0.00698 | 0.99998 | 0.00698 | ♦ | 30.4 | 0.50603 | 0.86251 | 0.5867 | ♦ | 60.4 | 0.86949 | 0.49394 | 1.76032 |
0.5 | 0.00873 | 0.99996 | 0.00873 | ♦ | 30.5 | 0.50754 | 0.86163 | 0.58905 | ♦ | 60.5 | 0.87036 | 0.49242 | 1.76749 |
0.6 | 0.01047 | 0.99995 | 0.01047 | ♦ | 30.6 | 0.50904 | 0.86074 | 0.5914 | ♦ | 60.6 | 0.87121 | 0.4909 | 1.77471 |
0.7 | 0.01222 | 0.99993 | 0.01222 | ♦ | 30.7 | 0.51054 | 0.85985 | 0.59376 | ♦ | 60.7 | 0.87207 | 0.48938 | 1.78198 |
0.8 | 0.01396 | 0.9999 | 0.01396 | ♦ | 30.8 | 0.51204 | 0.85896 | 0.59612 | ♦ | 60.8 | 0.87292 | 0.48786 | 1.78929 |
0.9 | 0.01571 | 0.99988 | 0.01571 | ♦ | 30.9 | 0.51354 | 0.85806 | 0.59849 | ♦ | 60.9 | 0.87377 | 0.48634 | 1.79665 |
1 | 0.01745 | 0.99985 | 0.01746 | ♦ | 31 | 0.51504 | 0.85717 | 0.60086 | ♦ | 61 | 0.87462 | 0.48481 | 1.80405 |
1.1 | 0.0192 | 0.99982 | 0.0192 | ♦ | 31.1 | 0.51653 | 0.85627 | 0.60324 | ♦ | 61.1 | 0.87546 | 0.48328 | 1.8115 |
1.2 | 0.02094 | 0.99978 | 0.02095 | ♦ | 31.2 | 0.51803 | 0.85536 | 0.60562 | ♦ | 61.2 | 0.87631 | 0.48175 | 1.81899 |
1.3 | 0.02269 | 0.99974 | 0.02269 | ♦ | 31.3 | 0.51952 | 0.85446 | 0.60801 | ♦ | 61.3 | 0.87715 | 0.48022 | 1.82654 |
1.4 | 0.02443 | 0.9997 | 0.02444 | ♦ | 31.4 | 0.52101 | 0.85355 | 0.6104 | ♦ | 61.4 | 0.87798 | 0.47869 | 1.83413 |
1.5 | 0.02618 | 0.99966 | 0.02619 | ♦ | 31.5 | 0.5225 | 0.85264 | 0.6128 | ♦ | 61.5 | 0.87882 | 0.47716 | 1.84177 |
1.6 | 0.02792 | 0.99961 | 0.02793 | ♦ | 31.6 | 0.52399 | 0.85173 | 0.6152 | ♦ | 61.6 | 0.87965 | 0.47562 | 1.84946 |
1.7 | 0.02967 | 0.99956 | 0.02968 | ♦ | 31.7 | 0.52547 | 0.85081 | 0.61761 | ♦ | 61.7 | 0.88048 | 0.47409 | 1.8572 |
1.8 | 0.03141 | 0.99951 | 0.03143 | ♦ | 31.8 | 0.52696 | 0.84989 | 0.62003 | ♦ | 61.8 | 0.8813 | 0.47255 | 1.86499 |
1.9 | 0.03316 | 0.99945 | 0.03317 | ♦ | 31.9 | 0.52844 | 0.84897 | 0.62245 | ♦ | 61.9 | 0.88213 | 0.47101 | 1.87283 |
2 | 0.0349 | 0.99939 | 0.03492 | ♦ | 32 | 0.52992 | 0.84805 | 0.62487 | ♦ | 62 | 0.88295 | 0.46947 | 1.88073 |
2.1 | 0.03664 | 0.99933 | 0.03667 | ♦ | 32.1 | 0.5314 | 0.84712 | 0.6273 | ♦ | 62.1 | 0.88377 | 0.46793 | 1.88867 |
2.2 | 0.03839 | 0.99926 | 0.03842 | ♦ | 32.2 | 0.53288 | 0.84619 | 0.62973 | ♦ | 62.2 | 0.88458 | 0.46639 | 1.89667 |
2.3 | 0.04013 | 0.99919 | 0.04016 | ♦ | 32.3 | 0.53435 | 0.84526 | 0.63217 | ♦ | 62.3 | 0.88539 | 0.46484 | 1.90472 |
2.4 | 0.04188 | 0.99912 | 0.04191 | ♦ | 32.4 | 0.53583 | 0.84433 | 0.63462 | ♦ | 62.4 | 0.8862 | 0.4633 | 1.91282 |
2.5 | 0.04362 | 0.99905 | 0.04366 | ♦ | 32.5 | 0.5373 | 0.84339 | 0.63707 | ♦ | 62.5 | 0.88701 | 0.46175 | 1.92098 |
2.6 | 0.04536 | 0.99897 | 0.04541 | ♦ | 32.6 | 0.53877 | 0.84245 | 0.63953 | ♦ | 62.6 | 0.88782 | 0.4602 | 1.9292 |
2.7 | 0.04711 | 0.99889 | 0.04716 | ♦ | 32.7 | 0.54024 | 0.84151 | 0.64199 | ♦ | 62.7 | 0.88862 | 0.45865 | 1.93746 |
2.8 | 0.04885 | 0.99881 | 0.04891 | ♦ | 32.8 | 0.54171 | 0.84057 | 0.64446 | ♦ | 62.8 | 0.88942 | 0.4571 | 1.94579 |
2.9 | 0.05059 | 0.99872 | 0.05066 | ♦ | 32.9 | 0.54317 | 0.83962 | 0.64693 | ♦ | 62.9 | 0.89021 | 0.45554 | 1.95417 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
3 | 0.05234 | 0.99863 | 0.05241 | ♦ | 33 | 0.54464 | 0.83867 | 0.64941 | ♦ | 63 | 0.89101 | 0.45399 | 1.96261 |
3.1 | 0.05408 | 0.99854 | 0.05416 | ♦ | 33.1 | 0.5461 | 0.83772 | 0.65189 | ♦ | 63.1 | 0.8918 | 0.45243 | 1.97111 |
3.2 | 0.05582 | 0.99844 | 0.05591 | ♦ | 33.2 | 0.54756 | 0.83676 | 0.65438 | ♦ | 63.2 | 0.89259 | 0.45088 | 1.97966 |
3.3 | 0.05756 | 0.99834 | 0.05766 | ♦ | 33.3 | 0.54902 | 0.83581 | 0.65688 | ♦ | 63.3 | 0.89337 | 0.44932 | 1.98828 |
3.4 | 0.05931 | 0.99824 | 0.05941 | ♦ | 33.4 | 0.55048 | 0.83485 | 0.65938 | ♦ | 63.4 | 0.89415 | 0.44776 | 1.99695 |
3.5 | 0.06105 | 0.99813 | 0.06116 | ♦ | 33.5 | 0.55194 | 0.83389 | 0.66189 | ♦ | 63.5 | 0.89493 | 0.4462 | 2.00569 |
3.6 | 0.06279 | 0.99803 | 0.06291 | ♦ | 33.6 | 0.55339 | 0.83292 | 0.6644 | ♦ | 63.6 | 0.89571 | 0.44464 | 2.01449 |
3.7 | 0.06453 | 0.99792 | 0.06467 | ♦ | 33.7 | 0.55484 | 0.83195 | 0.66692 | ♦ | 63.7 | 0.89649 | 0.44307 | 2.02335 |
3.8 | 0.06627 | 0.9978 | 0.06642 | ♦ | 33.8 | 0.5563 | 0.83098 | 0.66944 | ♦ | 63.8 | 0.89726 | 0.44151 | 2.03227 |
3.9 | 0.06802 | 0.99768 | 0.06817 | ♦ | 33.9 | 0.55775 | 0.83001 | 0.67197 | ♦ | 63.9 | 0.89803 | 0.43994 | 2.04125 |
4 | 0.06976 | 0.99756 | 0.06993 | ♦ | 34 | 0.55919 | 0.82904 | 0.67451 | ♦ | 64 | 0.89879 | 0.43837 | 2.0503 |
4.1 | 0.0715 | 0.99744 | 0.07168 | ♦ | 34.1 | 0.56064 | 0.82806 | 0.67705 | ♦ | 64.1 | 0.89956 | 0.4368 | 2.05942 |
4.2 | 0.07324 | 0.99731 | 0.07344 | ♦ | 34.2 | 0.56208 | 0.82708 | 0.6796 | ♦ | 64.2 | 0.90032 | 0.43523 | 2.0686 |
4.3 | 0.07498 | 0.99719 | 0.07519 | ♦ | 34.3 | 0.56353 | 0.8261 | 0.68215 | ♦ | 64.3 | 0.90108 | 0.43366 | 2.07785 |
4.4 | 0.07672 | 0.99705 | 0.07695 | ♦ | 34.4 | 0.56497 | 0.82511 | 0.68471 | ♦ | 64.4 | 0.90183 | 0.43209 | 2.08716 |
4.5 | 0.07846 | 0.99692 | 0.0787 | ♦ | 34.5 | 0.56641 | 0.82413 | 0.68728 | ♦ | 64.5 | 0.90259 | 0.43051 | 2.09654 |
4.6 | 0.0802 | 0.99678 | 0.08046 | ♦ | 34.6 | 0.56784 | 0.82314 | 0.68985 | ♦ | 64.6 | 0.90334 | 0.42894 | 2.106 |
4.7 | 0.08194 | 0.99664 | 0.08221 | ♦ | 34.7 | 0.56928 | 0.82214 | 0.69243 | ♦ | 64.7 | 0.90408 | 0.42736 | 2.11552 |
4.8 | 0.08368 | 0.99649 | 0.08397 | ♦ | 34.8 | 0.57071 | 0.82115 | 0.69502 | ♦ | 64.8 | 0.90483 | 0.42578 | 2.12511 |
4.9 | 0.08542 | 0.99635 | 0.08573 | ♦ | 34.9 | 0.57215 | 0.82015 | 0.69761 | ♦ | 64.9 | 0.90557 | 0.4242 | 2.13477 |
5 | 0.08716 | 0.99619 | 0.08749 | ♦ | 35 | 0.57358 | 0.81915 | 0.70021 | ♦ | 65 | 0.90631 | 0.42262 | 2.14451 |
5.1 | 0.08889 | 0.99604 | 0.08925 | ♦ | 35.1 | 0.57501 | 0.81815 | 0.70281 | ♦ | 65.1 | 0.90704 | 0.42104 | 2.15432 |
5.2 | 0.09063 | 0.99588 | 0.09101 | ♦ | 35.2 | 0.57643 | 0.81714 | 0.70542 | ♦ | 65.2 | 0.90778 | 0.41945 | 2.1642 |
5.3 | 0.09237 | 0.99572 | 0.09277 | ♦ | 35.3 | 0.57786 | 0.81614 | 0.70804 | ♦ | 65.3 | 0.90851 | 0.41787 | 2.17416 |
5.4 | 0.09411 | 0.99556 | 0.09453 | ♦ | 35.4 | 0.57928 | 0.81513 | 0.71066 | ♦ | 65.4 | 0.90924 | 0.41628 | 2.18419 |
5.5 | 0.09585 | 0.9954 | 0.09629 | ♦ | 35.5 | 0.5807 | 0.81412 | 0.71329 | ♦ | 65.5 | 0.90996 | 0.41469 | 2.1943 |
5.6 | 0.09758 | 0.99523 | 0.09805 | ♦ | 35.6 | 0.58212 | 0.8131 | 0.71593 | ♦ | 65.6 | 0.91068 | 0.4131 | 2.20449 |
5.7 | 0.09932 | 0.99506 | 0.09981 | ♦ | 35.7 | 0.58354 | 0.81208 | 0.71857 | ♦ | 65.7 | 0.9114 | 0.41151 | 2.21475 |
5.8 | 0.10106 | 0.99488 | 0.10158 | ♦ | 35.8 | 0.58496 | 0.81106 | 0.72122 | ♦ | 65.8 | 0.91212 | 0.40992 | 2.2251 |
5.9 | 0.10279 | 0.9947 | 0.10334 | ♦ | 35.9 | 0.58637 | 0.81004 | 0.72388 | ♦ | 65.9 | 0.91283 | 0.40833 | 2.23553 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
6 | 0.10453 | 0.99452 | 0.1051 | ♦ | 36 | 0.58779 | 0.80902 | 0.72654 | ♦ | 66 | 0.91355 | 0.40674 | 2.24604 |
6.1 | 0.10626 | 0.99434 | 0.10687 | ♦ | 36.1 | 0.5892 | 0.80799 | 0.72921 | ♦ | 66.1 | 0.91425 | 0.40514 | 2.25663 |
6.2 | 0.108 | 0.99415 | 0.10863 | ♦ | 36.2 | 0.59061 | 0.80696 | 0.73189 | ♦ | 66.2 | 0.91496 | 0.40355 | 2.2673 |
6.3 | 0.10973 | 0.99396 | 0.1104 | ♦ | 36.3 | 0.59201 | 0.80593 | 0.73457 | ♦ | 66.3 | 0.91566 | 0.40195 | 2.27806 |
6.4 | 0.11147 | 0.99377 | 0.11217 | ♦ | 36.4 | 0.59342 | 0.80489 | 0.73726 | ♦ | 66.4 | 0.91636 | 0.40035 | 2.28891 |
6.5 | 0.1132 | 0.99357 | 0.11394 | ♦ | 36.5 | 0.59482 | 0.80386 | 0.73996 | ♦ | 66.5 | 0.91706 | 0.39875 | 2.29984 |
6.6 | 0.11494 | 0.99337 | 0.1157 | ♦ | 36.6 | 0.59622 | 0.80282 | 0.74267 | ♦ | 66.6 | 0.91775 | 0.39715 | 2.31086 |
6.7 | 0.11667 | 0.99317 | 0.11747 | ♦ | 36.7 | 0.59763 | 0.80178 | 0.74538 | ♦ | 66.7 | 0.91845 | 0.39555 | 2.32197 |
6.8 | 0.1184 | 0.99297 | 0.11924 | ♦ | 36.8 | 0.59902 | 0.80073 | 0.7481 | ♦ | 66.8 | 0.91914 | 0.39394 | 2.33317 |
6.9 | 0.12014 | 0.99276 | 0.12101 | ♦ | 36.9 | 0.60042 | 0.79968 | 0.75082 | ♦ | 66.9 | 0.91982 | 0.39234 | 2.34447 |
7 | 0.12187 | 0.99255 | 0.12278 | ♦ | 37 | 0.60182 | 0.79864 | 0.75355 | ♦ | 67 | 0.9205 | 0.39073 | 2.35585 |
7.1 | 0.1236 | 0.99233 | 0.12456 | ♦ | 37.1 | 0.60321 | 0.79758 | 0.75629 | ♦ | 67.1 | 0.92119 | 0.38912 | 2.36733 |
7.2 | 0.12533 | 0.99211 | 0.12633 | ♦ | 37.2 | 0.6046 | 0.79653 | 0.75904 | ♦ | 67.2 | 0.92186 | 0.38752 | 2.37891 |
7.3 | 0.12706 | 0.99189 | 0.1281 | ♦ | 37.3 | 0.60599 | 0.79547 | 0.7618 | ♦ | 67.3 | 0.92254 | 0.38591 | 2.39058 |
7.4 | 0.1288 | 0.99167 | 0.12988 | ♦ | 37.4 | 0.60738 | 0.79441 | 0.76456 | ♦ | 67.4 | 0.92321 | 0.3843 | 2.40235 |
7.5 | 0.13053 | 0.99144 | 0.13165 | ♦ | 37.5 | 0.60876 | 0.79335 | 0.76733 | ♦ | 67.5 | 0.92388 | 0.38268 | 2.41421 |
7.6 | 0.13226 | 0.99122 | 0.13343 | ♦ | 37.6 | 0.61015 | 0.79229 | 0.7701 | ♦ | 67.6 | 0.92455 | 0.38107 | 2.42618 |
7.7 | 0.13399 | 0.99098 | 0.13521 | ♦ | 37.7 | 0.61153 | 0.79122 | 0.77289 | ♦ | 67.7 | 0.92521 | 0.37946 | 2.43825 |
7.8 | 0.13572 | 0.99075 | 0.13698 | ♦ | 37.8 | 0.61291 | 0.79016 | 0.77568 | ♦ | 67.8 | 0.92587 | 0.37784 | 2.45043 |
7.9 | 0.13744 | 0.99051 | 0.13876 | ♦ | 37.9 | 0.61429 | 0.78908 | 0.77848 | ♦ | 67.9 | 0.92653 | 0.37622 | 2.4627 |
8 | 0.13917 | 0.99027 | 0.14054 | ♦ | 38 | 0.61566 | 0.78801 | 0.78129 | ♦ | 68 | 0.92718 | 0.37461 | 2.47509 |
8.1 | 0.1409 | 0.99002 | 0.14232 | ♦ | 38.1 | 0.61704 | 0.78694 | 0.7841 | ♦ | 68.1 | 0.92784 | 0.37299 | 2.48758 |
8.2 | 0.14263 | 0.98978 | 0.1441 | ♦ | 38.2 | 0.61841 | 0.78586 | 0.78692 | ♦ | 68.2 | 0.92849 | 0.37137 | 2.50018 |
8.3 | 0.14436 | 0.98953 | 0.14588 | ♦ | 38.3 | 0.61978 | 0.78478 | 0.78975 | ♦ | 68.3 | 0.92913 | 0.36975 | 2.51289 |
8.4 | 0.14608 | 0.98927 | 0.14767 | ♦ | 38.4 | 0.62115 | 0.78369 | 0.79259 | ♦ | 68.4 | 0.92978 | 0.36812 | 2.52571 |
8.5 | 0.14781 | 0.98902 | 0.14945 | ♦ | 38.5 | 0.62251 | 0.78261 | 0.79544 | ♦ | 68.5 | 0.93042 | 0.3665 | 2.53865 |
8.6 | 0.14954 | 0.98876 | 0.15124 | ♦ | 38.6 | 0.62388 | 0.78152 | 0.79829 | ♦ | 68.6 | 0.93106 | 0.36488 | 2.5517 |
8.7 | 0.15126 | 0.98849 | 0.15302 | ♦ | 38.7 | 0.62524 | 0.78043 | 0.80115 | ♦ | 68.7 | 0.93169 | 0.36325 | 2.56487 |
8.8 | 0.15299 | 0.98823 | 0.15481 | ♦ | 38.8 | 0.6266 | 0.77934 | 0.80402 | ♦ | 68.8 | 0.93232 | 0.36162 | 2.57815 |
8.9 | 0.15471 | 0.98796 | 0.1566 | ♦ | 38.9 | 0.62796 | 0.77824 | 0.8069 | ♦ | 68.9 | 0.93295 | 0.36 | 2.59156 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
9 | 0.15643 | 0.98769 | 0.15838 | ♦ | 39 | 0.62932 | 0.77715 | 0.80978 | ♦ | 69 | 0.93358 | 0.35837 | 2.60509 |
9.1 | 0.15816 | 0.98741 | 0.16017 | ♦ | 39.1 | 0.63068 | 0.77605 | 0.81268 | ♦ | 69.1 | 0.9342 | 0.35674 | 2.61874 |
9.2 | 0.15988 | 0.98714 | 0.16196 | ♦ | 39.2 | 0.63203 | 0.77494 | 0.81558 | ♦ | 69.2 | 0.93483 | 0.35511 | 2.63252 |
9.3 | 0.1616 | 0.98686 | 0.16376 | ♦ | 39.3 | 0.63338 | 0.77384 | 0.81849 | ♦ | 69.3 | 0.93544 | 0.35347 | 2.64642 |
9.4 | 0.16333 | 0.98657 | 0.16555 | ♦ | 39.4 | 0.63473 | 0.77273 | 0.82141 | ♦ | 69.4 | 0.93606 | 0.35184 | 2.66046 |
9.5 | 0.16505 | 0.98629 | 0.16734 | ♦ | 39.5 | 0.63608 | 0.77162 | 0.82434 | ♦ | 69.5 | 0.93667 | 0.35021 | 2.67462 |
9.6 | 0.16677 | 0.986 | 0.16914 | ♦ | 39.6 | 0.63742 | 0.77051 | 0.82727 | ♦ | 69.6 | 0.93728 | 0.34857 | 2.68892 |
9.7 | 0.16849 | 0.9857 | 0.17093 | ♦ | 39.7 | 0.63877 | 0.7694 | 0.83022 | ♦ | 69.7 | 0.93789 | 0.34694 | 2.70335 |
9.8 | 0.17021 | 0.98541 | 0.17273 | ♦ | 39.8 | 0.64011 | 0.76828 | 0.83317 | ♦ | 69.8 | 0.93849 | 0.3453 | 2.71792 |
9.9 | 0.17193 | 0.98511 | 0.17453 | ♦ | 39.9 | 0.64145 | 0.76717 | 0.83613 | ♦ | 69.9 | 0.93909 | 0.34366 | 2.73263 |
10 | 0.17365 | 0.98481 | 0.17633 | ♦ | 40 | 0.64279 | 0.76604 | 0.8391 | ♦ | 70 | 0.93969 | 0.34202 | 2.74748 |
10.1 | 0.17537 | 0.9845 | 0.17813 | ♦ | 40.1 | 0.64412 | 0.76492 | 0.84208 | ♦ | 70.1 | 0.94029 | 0.34038 | 2.76247 |
10.2 | 0.17708 | 0.9842 | 0.17993 | ♦ | 40.2 | 0.64546 | 0.7638 | 0.84507 | ♦ | 70.2 | 0.94088 | 0.33874 | 2.77761 |
10.3 | 0.1788 | 0.98389 | 0.18173 | ♦ | 40.3 | 0.64679 | 0.76267 | 0.84806 | ♦ | 70.3 | 0.94147 | 0.3371 | 2.79289 |
10.4 | 0.18052 | 0.98357 | 0.18353 | ♦ | 40.4 | 0.64812 | 0.76154 | 0.85107 | ♦ | 70.4 | 0.94206 | 0.33545 | 2.80833 |
10.5 | 0.18224 | 0.98325 | 0.18534 | ♦ | 40.5 | 0.64945 | 0.76041 | 0.85408 | ♦ | 70.5 | 0.94264 | 0.33381 | 2.82391 |
10.6 | 0.18395 | 0.98294 | 0.18714 | ♦ | 40.6 | 0.65077 | 0.75927 | 0.8571 | ♦ | 70.6 | 0.94322 | 0.33216 | 2.83965 |
10.7 | 0.18567 | 0.98261 | 0.18895 | ♦ | 40.7 | 0.6521 | 0.75813 | 0.86014 | ♦ | 70.7 | 0.9438 | 0.33051 | 2.85555 |
10.8 | 0.18738 | 0.98229 | 0.19076 | ♦ | 40.8 | 0.65342 | 0.757 | 0.86318 | ♦ | 70.8 | 0.94438 | 0.32887 | 2.87161 |
10.9 | 0.1891 | 0.98196 | 0.19257 | ♦ | 40.9 | 0.65474 | 0.75585 | 0.86623 | ♦ | 70.9 | 0.94495 | 0.32722 | 2.88783 |
11 | 0.19081 | 0.98163 | 0.19438 | ♦ | 41 | 0.65606 | 0.75471 | 0.86929 | ♦ | 71 | 0.94552 | 0.32557 | 2.90421 |
11.1 | 0.19252 | 0.98129 | 0.19619 | ♦ | 41.1 | 0.65738 | 0.75356 | 0.87236 | ♦ | 71.1 | 0.94609 | 0.32392 | 2.92076 |
11.2 | 0.19423 | 0.98096 | 0.19801 | ♦ | 41.2 | 0.65869 | 0.75241 | 0.87543 | ♦ | 71.2 | 0.94665 | 0.32227 | 2.93748 |
11.3 | 0.19595 | 0.98061 | 0.19982 | ♦ | 41.3 | 0.66 | 0.75126 | 0.87852 | ♦ | 71.3 | 0.94721 | 0.32061 | 2.95437 |
11.4 | 0.19766 | 0.98027 | 0.20164 | ♦ | 41.4 | 0.66131 | 0.75011 | 0.88162 | ♦ | 71.4 | 0.94777 | 0.31896 | 2.97144 |
11.5 | 0.19937 | 0.97992 | 0.20345 | ♦ | 41.5 | 0.66262 | 0.74896 | 0.88473 | ♦ | 71.5 | 0.94832 | 0.3173 | 2.98868 |
11.6 | 0.20108 | 0.97958 | 0.20527 | ♦ | 41.6 | 0.66393 | 0.7478 | 0.88784 | ♦ | 71.6 | 0.94888 | 0.31565 | 3.00611 |
11.7 | 0.20279 | 0.97922 | 0.20709 | ♦ | 41.7 | 0.66523 | 0.74664 | 0.89097 | ♦ | 71.7 | 0.94943 | 0.31399 | 3.02372 |
11.8 | 0.2045 | 0.97887 | 0.20891 | ♦ | 41.8 | 0.66653 | 0.74548 | 0.8941 | ♦ | 71.8 | 0.94997 | 0.31233 | 3.04152 |
11.9 | 0.2062 | 0.97851 | 0.21073 | ♦ | 41.9 | 0.66783 | 0.74431 | 0.89725 | ♦ | 71.9 | 0.95052 | 0.31068 | 3.0595 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
12 | 0.20791 | 0.97815 | 0.21256 | ♦ | 42 | 0.66913 | 0.74314 | 0.9004 | ♦ | 72 | 0.95106 | 0.30902 | 3.07768 |
12.1 | 0.20962 | 0.97778 | 0.21438 | ♦ | 42.1 | 0.67043 | 0.74198 | 0.90357 | ♦ | 72.1 | 0.95159 | 0.30736 | 3.09606 |
12.2 | 0.21132 | 0.97742 | 0.21621 | ♦ | 42.2 | 0.67172 | 0.7408 | 0.90674 | ♦ | 72.2 | 0.95213 | 0.3057 | 3.11464 |
12.3 | 0.21303 | 0.97705 | 0.21804 | ♦ | 42.3 | 0.67301 | 0.73963 | 0.90993 | ♦ | 72.3 | 0.95266 | 0.30403 | 3.13341 |
12.4 | 0.21474 | 0.97667 | 0.21986 | ♦ | 42.4 | 0.6743 | 0.73846 | 0.91313 | ♦ | 72.4 | 0.95319 | 0.30237 | 3.1524 |
12.5 | 0.21644 | 0.9763 | 0.22169 | ♦ | 42.5 | 0.67559 | 0.73728 | 0.91633 | ♦ | 72.5 | 0.95372 | 0.30071 | 3.17159 |
12.6 | 0.21814 | 0.97592 | 0.22353 | ♦ | 42.6 | 0.67688 | 0.7361 | 0.91955 | ♦ | 72.6 | 0.95424 | 0.29904 | 3.191 |
12.7 | 0.21985 | 0.97553 | 0.22536 | ♦ | 42.7 | 0.67816 | 0.73491 | 0.92277 | ♦ | 72.7 | 0.95476 | 0.29737 | 3.21063 |
12.8 | 0.22155 | 0.97515 | 0.22719 | ♦ | 42.8 | 0.67944 | 0.73373 | 0.92601 | ♦ | 72.8 | 0.95528 | 0.29571 | 3.23048 |
12.9 | 0.22325 | 0.97476 | 0.22903 | ♦ | 42.9 | 0.68072 | 0.73254 | 0.92926 | ♦ | 72.9 | 0.95579 | 0.29404 | 3.25055 |
13 | 0.22495 | 0.97437 | 0.23087 | ♦ | 43 | 0.682 | 0.73135 | 0.93252 | ♦ | 73 | 0.9563 | 0.29237 | 3.27085 |
13.1 | 0.22665 | 0.97398 | 0.23271 | ♦ | 43.1 | 0.68327 | 0.73016 | 0.93578 | ♦ | 73.1 | 0.95681 | 0.2907 | 3.29139 |
13.2 | 0.22835 | 0.97358 | 0.23455 | ♦ | 43.2 | 0.68455 | 0.72897 | 0.93906 | ♦ | 73.2 | 0.95732 | 0.28903 | 3.31216 |
13.3 | 0.23005 | 0.97318 | 0.23639 | ♦ | 43.3 | 0.68582 | 0.72777 | 0.94235 | ♦ | 73.3 | 0.95782 | 0.28736 | 3.33317 |
13.4 | 0.23175 | 0.97278 | 0.23823 | ♦ | 43.4 | 0.68709 | 0.72657 | 0.94565 | ♦ | 73.4 | 0.95832 | 0.28569 | 3.35443 |
13.5 | 0.23345 | 0.97237 | 0.24008 | ♦ | 43.5 | 0.68835 | 0.72537 | 0.94896 | ♦ | 73.5 | 0.95882 | 0.28402 | 3.37594 |
13.6 | 0.23514 | 0.97196 | 0.24193 | ♦ | 43.6 | 0.68962 | 0.72417 | 0.95229 | ♦ | 73.6 | 0.95931 | 0.28234 | 3.39771 |
13.7 | 0.23684 | 0.97155 | 0.24377 | ♦ | 43.7 | 0.69088 | 0.72297 | 0.95562 | ♦ | 73.7 | 0.95981 | 0.28067 | 3.41973 |
13.8 | 0.23853 | 0.97113 | 0.24562 | ♦ | 43.8 | 0.69214 | 0.72176 | 0.95897 | ♦ | 73.8 | 0.96029 | 0.27899 | 3.44202 |
13.9 | 0.24023 | 0.97072 | 0.24747 | ♦ | 43.9 | 0.6934 | 0.72055 | 0.96232 | ♦ | 73.9 | 0.96078 | 0.27731 | 3.46458 |
14 | 0.24192 | 0.9703 | 0.24933 | ♦ | 44 | 0.69466 | 0.71934 | 0.96569 | ♦ | 74 | 0.96126 | 0.27564 | 3.48741 |
14.1 | 0.24362 | 0.96987 | 0.25118 | ♦ | 44.1 | 0.69591 | 0.71813 | 0.96907 | ♦ | 74.1 | 0.96174 | 0.27396 | 3.51053 |
14.2 | 0.24531 | 0.96945 | 0.25304 | ♦ | 44.2 | 0.69717 | 0.71691 | 0.97246 | ♦ | 74.2 | 0.96222 | 0.27228 | 3.53393 |
14.3 | 0.247 | 0.96902 | 0.2549 | ♦ | 44.3 | 0.69842 | 0.71569 | 0.97586 | ♦ | 74.3 | 0.96269 | 0.2706 | 3.55761 |
14.4 | 0.24869 | 0.96858 | 0.25676 | ♦ | 44.4 | 0.69966 | 0.71447 | 0.97927 | ♦ | 74.4 | 0.96316 | 0.26892 | 3.5816 |
14.5 | 0.25038 | 0.96815 | 0.25862 | ♦ | 44.5 | 0.70091 | 0.71325 | 0.9827 | ♦ | 74.5 | 0.96363 | 0.26724 | 3.60588 |
14.6 | 0.25207 | 0.96771 | 0.26048 | ♦ | 44.6 | 0.70215 | 0.71203 | 0.98613 | ♦ | 74.6 | 0.9641 | 0.26556 | 3.63048 |
14.7 | 0.25376 | 0.96727 | 0.26235 | ♦ | 44.7 | 0.70339 | 0.7108 | 0.98958 | ♦ | 74.7 | 0.96456 | 0.26387 | 3.65538 |
14.8 | 0.25545 | 0.96682 | 0.26421 | ♦ | 44.8 | 0.70463 | 0.70957 | 0.99304 | ♦ | 74.8 | 0.96502 | 0.26219 | 3.68061 |
14.9 | 0.25713 | 0.96638 | 0.26608 | ♦ | 44.9 | 0.70587 | 0.70834 | 0.99652 | ♦ | 74.9 | 0.96547 | 0.2605 | 3.70616 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
15 | 0.25882 | 0.96593 | 0.26795 | ♦ | 45 | 0.70711 | 0.70711 | 1 | ♦ | 75 | 0.96593 | 0.25882 | 3.73205 |
15.1 | 0.2605 | 0.96547 | 0.26982 | ♦ | 45.1 | 0.70834 | 0.70587 | 1.0035 | ♦ | 75.1 | 0.96638 | 0.25713 | 3.75828 |
15.2 | 0.26219 | 0.96502 | 0.27169 | ♦ | 45.2 | 0.70957 | 0.70463 | 1.00701 | ♦ | 75.2 | 0.96682 | 0.25545 | 3.78485 |
15.3 | 0.26387 | 0.96456 | 0.27357 | ♦ | 45.3 | 0.7108 | 0.70339 | 1.01053 | ♦ | 75.3 | 0.96727 | 0.25376 | 3.81177 |
15.4 | 0.26556 | 0.9641 | 0.27545 | ♦ | 45.4 | 0.71203 | 0.70215 | 1.01406 | ♦ | 75.4 | 0.96771 | 0.25207 | 3.83906 |
15.5 | 0.26724 | 0.96363 | 0.27732 | ♦ | 45.5 | 0.71325 | 0.70091 | 1.01761 | ♦ | 75.5 | 0.96815 | 0.25038 | 3.86671 |
15.6 | 0.26892 | 0.96316 | 0.27921 | ♦ | 45.6 | 0.71447 | 0.69966 | 1.02117 | ♦ | 75.6 | 0.96858 | 0.24869 | 3.89474 |
15.7 | 0.2706 | 0.96269 | 0.28109 | ♦ | 45.7 | 0.71569 | 0.69842 | 1.02474 | ♦ | 75.7 | 0.96902 | 0.247 | 3.92316 |
15.8 | 0.27228 | 0.96222 | 0.28297 | ♦ | 45.8 | 0.71691 | 0.69717 | 1.02832 | ♦ | 75.8 | 0.96945 | 0.24531 | 3.95196 |
15.9 | 0.27396 | 0.96174 | 0.28486 | ♦ | 45.9 | 0.71813 | 0.69591 | 1.03192 | ♦ | 75.9 | 0.96987 | 0.24362 | 3.98117 |
16 | 0.27564 | 0.96126 | 0.28675 | ♦ | 46 | 0.71934 | 0.69466 | 1.03553 | ♦ | 76 | 0.9703 | 0.24192 | 4.01078 |
16.1 | 0.27731 | 0.96078 | 0.28864 | ♦ | 46.1 | 0.72055 | 0.6934 | 1.03915 | ♦ | 76.1 | 0.97072 | 0.24023 | 4.04081 |
16.2 | 0.27899 | 0.96029 | 0.29053 | ♦ | 46.2 | 0.72176 | 0.69214 | 1.04279 | ♦ | 76.2 | 0.97113 | 0.23853 | 4.07127 |
16.3 | 0.28067 | 0.95981 | 0.29242 | ♦ | 46.3 | 0.72297 | 0.69088 | 1.04644 | ♦ | 76.3 | 0.97155 | 0.23684 | 4.10216 |
16.4 | 0.28234 | 0.95931 | 0.29432 | ♦ | 46.4 | 0.72417 | 0.68962 | 1.0501 | ♦ | 76.4 | 0.97196 | 0.23514 | 4.1335 |
16.5 | 0.28402 | 0.95882 | 0.29621 | ♦ | 46.5 | 0.72537 | 0.68835 | 1.05378 | ♦ | 76.5 | 0.97237 | 0.23345 | 4.1653 |
16.6 | 0.28569 | 0.95832 | 0.29811 | ♦ | 46.6 | 0.72657 | 0.68709 | 1.05747 | ♦ | 76.6 | 0.97278 | 0.23175 | 4.19756 |
16.7 | 0.28736 | 0.95782 | 0.30001 | ♦ | 46.7 | 0.72777 | 0.68582 | 1.06117 | ♦ | 76.7 | 0.97318 | 0.23005 | 4.2303 |
16.8 | 0.28903 | 0.95732 | 0.30192 | ♦ | 46.8 | 0.72897 | 0.68455 | 1.06489 | ♦ | 76.8 | 0.97358 | 0.22835 | 4.26352 |
16.9 | 0.2907 | 0.95681 | 0.30382 | ♦ | 46.9 | 0.73016 | 0.68327 | 1.06862 | ♦ | 76.9 | 0.97398 | 0.22665 | 4.29724 |
17 | 0.29237 | 0.9563 | 0.30573 | ♦ | 47 | 0.73135 | 0.682 | 1.07237 | ♦ | 77 | 0.97437 | 0.22495 | 4.33148 |
17.1 | 0.29404 | 0.95579 | 0.30764 | ♦ | 47.1 | 0.73254 | 0.68072 | 1.07613 | ♦ | 77.1 | 0.97476 | 0.22325 | 4.36623 |
17.2 | 0.29571 | 0.95528 | 0.30955 | ♦ | 47.2 | 0.73373 | 0.67944 | 1.0799 | ♦ | 77.2 | 0.97515 | 0.22155 | 4.40152 |
17.3 | 0.29737 | 0.95476 | 0.31147 | ♦ | 47.3 | 0.73491 | 0.67816 | 1.08369 | ♦ | 77.3 | 0.97553 | 0.21985 | 4.43735 |
17.4 | 0.29904 | 0.95424 | 0.31338 | ♦ | 47.4 | 0.7361 | 0.67688 | 1.08749 | ♦ | 77.4 | 0.97592 | 0.21814 | 4.47374 |
17.5 | 0.30071 | 0.95372 | 0.3153 | ♦ | 47.5 | 0.73728 | 0.67559 | 1.09131 | ♦ | 77.5 | 0.9763 | 0.21644 | 4.51071 |
17.6 | 0.30237 | 0.95319 | 0.31722 | ♦ | 47.6 | 0.73846 | 0.6743 | 1.09514 | ♦ | 77.6 | 0.97667 | 0.21474 | 4.54826 |
17.7 | 0.30403 | 0.95266 | 0.31914 | ♦ | 47.7 | 0.73963 | 0.67301 | 1.09899 | ♦ | 77.7 | 0.97705 | 0.21303 | 4.58641 |
17.8 | 0.3057 | 0.95213 | 0.32106 | ♦ | 47.8 | 0.7408 | 0.67172 | 1.10285 | ♦ | 77.8 | 0.97742 | 0.21132 | 4.62518 |
17.9 | 0.30736 | 0.95159 | 0.32299 | ♦ | 47.9 | 0.74198 | 0.67043 | 1.10672 | ♦ | 77.9 | 0.97778 | 0.20962 | 4.66458 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
18 | 0.30902 | 0.95106 | 0.32492 | ♦ | 48 | 0.74314 | 0.66913 | 1.11061 | ♦ | 78 | 0.97815 | 0.20791 | 4.70463 |
18.1 | 0.31068 | 0.95052 | 0.32685 | ♦ | 48.1 | 0.74431 | 0.66783 | 1.11452 | ♦ | 78.1 | 0.97851 | 0.2062 | 4.74534 |
18.2 | 0.31233 | 0.94997 | 0.32878 | ♦ | 48.2 | 0.74548 | 0.66653 | 1.11844 | ♦ | 78.2 | 0.97887 | 0.2045 | 4.78673 |
18.3 | 0.31399 | 0.94943 | 0.33072 | ♦ | 48.3 | 0.74664 | 0.66523 | 1.12238 | ♦ | 78.3 | 0.97922 | 0.20279 | 4.82882 |
18.4 | 0.31565 | 0.94888 | 0.33266 | ♦ | 48.4 | 0.7478 | 0.66393 | 1.12633 | ♦ | 78.4 | 0.97958 | 0.20108 | 4.87162 |
18.5 | 0.3173 | 0.94832 | 0.3346 | ♦ | 48.5 | 0.74896 | 0.66262 | 1.13029 | ♦ | 78.5 | 0.97992 | 0.19937 | 4.91516 |
18.6 | 0.31896 | 0.94777 | 0.33654 | ♦ | 48.6 | 0.75011 | 0.66131 | 1.13428 | ♦ | 78.6 | 0.98027 | 0.19766 | 4.95945 |
18.7 | 0.32061 | 0.94721 | 0.33848 | ♦ | 48.7 | 0.75126 | 0.66 | 1.13828 | ♦ | 78.7 | 0.98061 | 0.19595 | 5.00451 |
18.8 | 0.32227 | 0.94665 | 0.34043 | ♦ | 48.8 | 0.75241 | 0.65869 | 1.14229 | ♦ | 78.8 | 0.98096 | 0.19423 | 5.05037 |
18.9 | 0.32392 | 0.94609 | 0.34238 | ♦ | 48.9 | 0.75356 | 0.65738 | 1.14632 | ♦ | 78.9 | 0.98129 | 0.19252 | 5.09704 |
19 | 0.32557 | 0.94552 | 0.34433 | ♦ | 49 | 0.75471 | 0.65606 | 1.15037 | ♦ | 79 | 0.98163 | 0.19081 | 5.14455 |
19.1 | 0.32722 | 0.94495 | 0.34628 | ♦ | 49.1 | 0.75585 | 0.65474 | 1.15443 | ♦ | 79.1 | 0.98196 | 0.1891 | 5.19293 |
19.2 | 0.32887 | 0.94438 | 0.34824 | ♦ | 49.2 | 0.757 | 0.65342 | 1.15851 | ♦ | 79.2 | 0.98229 | 0.18738 | 5.24218 |
19.3 | 0.33051 | 0.9438 | 0.3502 | ♦ | 49.3 | 0.75813 | 0.6521 | 1.16261 | ♦ | 79.3 | 0.98261 | 0.18567 | 5.29235 |
19.4 | 0.33216 | 0.94322 | 0.35216 | ♦ | 49.4 | 0.75927 | 0.65077 | 1.16672 | ♦ | 79.4 | 0.98294 | 0.18395 | 5.34345 |
19.5 | 0.33381 | 0.94264 | 0.35412 | ♦ | 49.5 | 0.76041 | 0.64945 | 1.17085 | ♦ | 79.5 | 0.98325 | 0.18224 | 5.39552 |
19.6 | 0.33545 | 0.94206 | 0.35608 | ♦ | 49.6 | 0.76154 | 0.64812 | 1.175 | ♦ | 79.6 | 0.98357 | 0.18052 | 5.44857 |
19.7 | 0.3371 | 0.94147 | 0.35805 | ♦ | 49.7 | 0.76267 | 0.64679 | 1.17916 | ♦ | 79.7 | 0.98389 | 0.1788 | 5.50264 |
19.8 | 0.33874 | 0.94088 | 0.36002 | ♦ | 49.8 | 0.7638 | 0.64546 | 1.18334 | ♦ | 79.8 | 0.9842 | 0.17708 | 5.55777 |
19.9 | 0.34038 | 0.94029 | 0.36199 | ♦ | 49.9 | 0.76492 | 0.64412 | 1.18754 | ♦ | 79.9 | 0.9845 | 0.17537 | 5.61397 |
20 | 0.34202 | 0.93969 | 0.36397 | ♦ | 50 | 0.76604 | 0.64279 | 1.19175 | ♦ | 80 | 0.98481 | 0.17365 | 5.67128 |
20.1 | 0.34366 | 0.93909 | 0.36595 | ♦ | 50.1 | 0.76717 | 0.64145 | 1.19599 | ♦ | 80.1 | 0.98511 | 0.17193 | 5.72974 |
20.2 | 0.3453 | 0.93849 | 0.36793 | ♦ | 50.2 | 0.76828 | 0.64011 | 1.20024 | ♦ | 80.2 | 0.98541 | 0.17021 | 5.78938 |
20.3 | 0.34694 | 0.93789 | 0.36991 | ♦ | 50.3 | 0.7694 | 0.63877 | 1.20451 | ♦ | 80.3 | 0.9857 | 0.16849 | 5.85024 |
20.4 | 0.34857 | 0.93728 | 0.3719 | ♦ | 50.4 | 0.77051 | 0.63742 | 1.20879 | ♦ | 80.4 | 0.986 | 0.16677 | 5.91236 |
20.5 | 0.35021 | 0.93667 | 0.37388 | ♦ | 50.5 | 0.77162 | 0.63608 | 1.2131 | ♦ | 80.5 | 0.98629 | 0.16505 | 5.97576 |
20.6 | 0.35184 | 0.93606 | 0.37588 | ♦ | 50.6 | 0.77273 | 0.63473 | 1.21742 | ♦ | 80.6 | 0.98657 | 0.16333 | 6.04051 |
20.7 | 0.35347 | 0.93544 | 0.37787 | ♦ | 50.7 | 0.77384 | 0.63338 | 1.22176 | ♦ | 80.7 | 0.98686 | 0.1616 | 6.10664 |
20.8 | 0.35511 | 0.93483 | 0.37986 | ♦ | 50.8 | 0.77494 | 0.63203 | 1.22612 | ♦ | 80.8 | 0.98714 | 0.15988 | 6.17419 |
20.9 | 0.35674 | 0.9342 | 0.38186 | ♦ | 50.9 | 0.77605 | 0.63068 | 1.2305 | ♦ | 80.9 | 0.98741 | 0.15816 | 6.24321 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
21 | 0.35837 | 0.93358 | 0.38386 | ♦ | 51 | 0.77715 | 0.62932 | 1.2349 | ♦ | 81 | 0.98769 | 0.15643 | 6.31375 |
21.1 | 0.36 | 0.93295 | 0.38587 | ♦ | 51.1 | 0.77824 | 0.62796 | 1.23931 | ♦ | 81.1 | 0.98796 | 0.15471 | 6.38587 |
21.2 | 0.36162 | 0.93232 | 0.38787 | ♦ | 51.2 | 0.77934 | 0.6266 | 1.24375 | ♦ | 81.2 | 0.98823 | 0.15299 | 6.45961 |
21.3 | 0.36325 | 0.93169 | 0.38988 | ♦ | 51.3 | 0.78043 | 0.62524 | 1.2482 | ♦ | 81.3 | 0.98849 | 0.15126 | 6.53503 |
21.4 | 0.36488 | 0.93106 | 0.3919 | ♦ | 51.4 | 0.78152 | 0.62388 | 1.25268 | ♦ | 81.4 | 0.98876 | 0.14954 | 6.61219 |
21.5 | 0.3665 | 0.93042 | 0.39391 | ♦ | 51.5 | 0.78261 | 0.62251 | 1.25717 | ♦ | 81.5 | 0.98902 | 0.14781 | 6.69116 |
21.6 | 0.36812 | 0.92978 | 0.39593 | ♦ | 51.6 | 0.78369 | 0.62115 | 1.26169 | ♦ | 81.6 | 0.98927 | 0.14608 | 6.77199 |
21.7 | 0.36975 | 0.92913 | 0.39795 | ♦ | 51.7 | 0.78478 | 0.61978 | 1.26622 | ♦ | 81.7 | 0.98953 | 0.14436 | 6.85475 |
21.8 | 0.37137 | 0.92849 | 0.39997 | ♦ | 51.8 | 0.78586 | 0.61841 | 1.27077 | ♦ | 81.8 | 0.98978 | 0.14263 | 6.93952 |
21.9 | 0.37299 | 0.92784 | 0.402 | ♦ | 51.9 | 0.78694 | 0.61704 | 1.27535 | ♦ | 81.9 | 0.99002 | 0.1409 | 7.02637 |
22 | 0.37461 | 0.92718 | 0.40403 | ♦ | 52 | 0.78801 | 0.61566 | 1.27994 | ♦ | 82 | 0.99027 | 0.13917 | 7.11537 |
22.1 | 0.37622 | 0.92653 | 0.40606 | ♦ | 52.1 | 0.78908 | 0.61429 | 1.28456 | ♦ | 82.1 | 0.99051 | 0.13744 | 7.20661 |
22.2 | 0.37784 | 0.92587 | 0.40809 | ♦ | 52.2 | 0.79016 | 0.61291 | 1.28919 | ♦ | 82.2 | 0.99075 | 0.13572 | 7.30018 |
22.3 | 0.37946 | 0.92521 | 0.41013 | ♦ | 52.3 | 0.79122 | 0.61153 | 1.29385 | ♦ | 82.3 | 0.99098 | 0.13399 | 7.39616 |
22.4 | 0.38107 | 0.92455 | 0.41217 | ♦ | 52.4 | 0.79229 | 0.61015 | 1.29853 | ♦ | 82.4 | 0.99122 | 0.13226 | 7.49465 |
22.5 | 0.38268 | 0.92388 | 0.41421 | ♦ | 52.5 | 0.79335 | 0.60876 | 1.30323 | ♦ | 82.5 | 0.99144 | 0.13053 | 7.59575 |
22.6 | 0.3843 | 0.92321 | 0.41626 | ♦ | 52.6 | 0.79441 | 0.60738 | 1.30795 | ♦ | 82.6 | 0.99167 | 0.1288 | 7.69957 |
22.7 | 0.38591 | 0.92254 | 0.41831 | ♦ | 52.7 | 0.79547 | 0.60599 | 1.31269 | ♦ | 82.7 | 0.99189 | 0.12706 | 7.80622 |
22.8 | 0.38752 | 0.92186 | 0.42036 | ♦ | 52.8 | 0.79653 | 0.6046 | 1.31745 | ♦ | 82.8 | 0.99211 | 0.12533 | 7.91582 |
22.9 | 0.38912 | 0.92119 | 0.42242 | ♦ | 52.9 | 0.79758 | 0.60321 | 1.32224 | ♦ | 82.9 | 0.99233 | 0.1236 | 8.02848 |
23 | 0.39073 | 0.9205 | 0.42447 | ♦ | 53 | 0.79864 | 0.60182 | 1.32704 | ♦ | 83 | 0.99255 | 0.12187 | 8.14435 |
23.1 | 0.39234 | 0.91982 | 0.42654 | ♦ | 53.1 | 0.79968 | 0.60042 | 1.33187 | ♦ | 83.1 | 0.99276 | 0.12014 | 8.26355 |
23.2 | 0.39394 | 0.91914 | 0.4286 | ♦ | 53.2 | 0.80073 | 0.59902 | 1.33673 | ♦ | 83.2 | 0.99297 | 0.1184 | 8.38625 |
23.3 | 0.39555 | 0.91845 | 0.43067 | ♦ | 53.3 | 0.80178 | 0.59763 | 1.3416 | ♦ | 83.3 | 0.99317 | 0.11667 | 8.51259 |
23.4 | 0.39715 | 0.91775 | 0.43274 | ♦ | 53.4 | 0.80282 | 0.59622 | 1.3465 | ♦ | 83.4 | 0.99337 | 0.11494 | 8.64275 |
23.5 | 0.39875 | 0.91706 | 0.43481 | ♦ | 53.5 | 0.80386 | 0.59482 | 1.35142 | ♦ | 83.5 | 0.99357 | 0.1132 | 8.77689 |
23.6 | 0.40035 | 0.91636 | 0.43689 | ♦ | 53.6 | 0.80489 | 0.59342 | 1.35637 | ♦ | 83.6 | 0.99377 | 0.11147 | 8.9152 |
23.7 | 0.40195 | 0.91566 | 0.43897 | ♦ | 53.7 | 0.80593 | 0.59201 | 1.36134 | ♦ | 83.7 | 0.99396 | 0.10973 | 9.05789 |
23.8 | 0.40355 | 0.91496 | 0.44105 | ♦ | 53.8 | 0.80696 | 0.59061 | 1.36633 | ♦ | 83.8 | 0.99415 | 0.108 | 9.20516 |
23.9 | 0.40514 | 0.91425 | 0.44314 | ♦ | 53.9 | 0.80799 | 0.5892 | 1.37134 | ♦ | 83.9 | 0.99434 | 0.10626 | 9.35724 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
24 | 0.40674 | 0.91355 | 0.44523 | ♦ | 54 | 0.80902 | 0.58779 | 1.37638 | ♦ | 84 | 0.99452 | 0.10453 | 9.51436 |
24.1 | 0.40833 | 0.91283 | 0.44732 | ♦ | 54.1 | 0.81004 | 0.58637 | 1.38145 | ♦ | 84.1 | 0.9947 | 0.10279 | 9.6768 |
24.2 | 0.40992 | 0.91212 | 0.44942 | ♦ | 54.2 | 0.81106 | 0.58496 | 1.38653 | ♦ | 84.2 | 0.99488 | 0.10106 | 9.84482 |
24.3 | 0.41151 | 0.9114 | 0.45152 | ♦ | 54.3 | 0.81208 | 0.58354 | 1.39165 | ♦ | 84.3 | 0.99506 | 0.09932 | 10.01871 |
24.4 | 0.4131 | 0.91068 | 0.45362 | ♦ | 54.4 | 0.8131 | 0.58212 | 1.39679 | ♦ | 84.4 | 0.99523 | 0.09758 | 10.19879 |
24.5 | 0.41469 | 0.90996 | 0.45573 | ♦ | 54.5 | 0.81412 | 0.5807 | 1.40195 | ♦ | 84.5 | 0.9954 | 0.09585 | 10.3854 |
24.6 | 0.41628 | 0.90924 | 0.45784 | ♦ | 54.6 | 0.81513 | 0.57928 | 1.40714 | ♦ | 84.6 | 0.99556 | 0.09411 | 10.57889 |
24.7 | 0.41787 | 0.90851 | 0.45995 | ♦ | 54.7 | 0.81614 | 0.57786 | 1.41235 | ♦ | 84.7 | 0.99572 | 0.09237 | 10.77967 |
24.8 | 0.41945 | 0.90778 | 0.46206 | ♦ | 54.8 | 0.81714 | 0.57643 | 1.41759 | ♦ | 84.8 | 0.99588 | 0.09063 | 10.98815 |
24.9 | 0.42104 | 0.90704 | 0.46418 | ♦ | 54.9 | 0.81815 | 0.57501 | 1.42286 | ♦ | 84.9 | 0.99604 | 0.08889 | 11.20478 |
25 | 0.42262 | 0.90631 | 0.46631 | ♦ | 55 | 0.81915 | 0.57358 | 1.42815 | ♦ | 85 | 0.99619 | 0.08716 | 11.43005 |
25.1 | 0.4242 | 0.90557 | 0.46843 | ♦ | 55.1 | 0.82015 | 0.57215 | 1.43347 | ♦ | 85.1 | 0.99635 | 0.08542 | 11.6645 |
25.2 | 0.42578 | 0.90483 | 0.47056 | ♦ | 55.2 | 0.82115 | 0.57071 | 1.43881 | ♦ | 85.2 | 0.99649 | 0.08368 | 11.90868 |
25.3 | 0.42736 | 0.90408 | 0.4727 | ♦ | 55.3 | 0.82214 | 0.56928 | 1.44418 | ♦ | 85.3 | 0.99664 | 0.08194 | 12.16324 |
25.4 | 0.42894 | 0.90334 | 0.47483 | ♦ | 55.4 | 0.82314 | 0.56784 | 1.44958 | ♦ | 85.4 | 0.99678 | 0.0802 | 12.42883 |
25.5 | 0.43051 | 0.90259 | 0.47698 | ♦ | 55.5 | 0.82413 | 0.56641 | 1.45501 | ♦ | 85.5 | 0.99692 | 0.07846 | 12.7062 |
25.6 | 0.43209 | 0.90183 | 0.47912 | ♦ | 55.6 | 0.82511 | 0.56497 | 1.46046 | ♦ | 85.6 | 0.99705 | 0.07672 | 12.99616 |
25.7 | 0.43366 | 0.90108 | 0.48127 | ♦ | 55.7 | 0.8261 | 0.56353 | 1.46595 | ♦ | 85.7 | 0.99719 | 0.07498 | 13.29957 |
25.8 | 0.43523 | 0.90032 | 0.48342 | ♦ | 55.8 | 0.82708 | 0.56208 | 1.47146 | ♦ | 85.8 | 0.99731 | 0.07324 | 13.61741 |
25.9 | 0.4368 | 0.89956 | 0.48557 | ♦ | 55.9 | 0.82806 | 0.56064 | 1.47699 | ♦ | 85.9 | 0.99744 | 0.0715 | 13.95072 |
26 | 0.43837 | 0.89879 | 0.48773 | ♦ | 56 | 0.82904 | 0.55919 | 1.48256 | ♦ | 86 | 0.99756 | 0.06976 | 14.30067 |
26.1 | 0.43994 | 0.89803 | 0.48989 | ♦ | 56.1 | 0.83001 | 0.55775 | 1.48816 | ♦ | 86.1 | 0.99768 | 0.06802 | 14.66853 |
26.2 | 0.44151 | 0.89726 | 0.49206 | ♦ | 56.2 | 0.83098 | 0.5563 | 1.49378 | ♦ | 86.2 | 0.9978 | 0.06627 | 15.05572 |
26.3 | 0.44307 | 0.89649 | 0.49423 | ♦ | 56.3 | 0.83195 | 0.55484 | 1.49944 | ♦ | 86.3 | 0.99792 | 0.06453 | 15.46381 |
26.4 | 0.44464 | 0.89571 | 0.4964 | ♦ | 56.4 | 0.83292 | 0.55339 | 1.50512 | ♦ | 86.4 | 0.99803 | 0.06279 | 15.89454 |
26.5 | 0.4462 | 0.89493 | 0.49858 | ♦ | 56.5 | 0.83389 | 0.55194 | 1.51084 | ♦ | 86.5 | 0.99813 | 0.06105 | 16.34986 |
26.6 | 0.44776 | 0.89415 | 0.50076 | ♦ | 56.6 | 0.83485 | 0.55048 | 1.51658 | ♦ | 86.6 | 0.99824 | 0.05931 | 16.83191 |
26.7 | 0.44932 | 0.89337 | 0.50295 | ♦ | 56.7 | 0.83581 | 0.54902 | 1.52235 | ♦ | 86.7 | 0.99834 | 0.05756 | 17.34315 |
26.8 | 0.45088 | 0.89259 | 0.50514 | ♦ | 56.8 | 0.83676 | 0.54756 | 1.52816 | ♦ | 86.8 | 0.99844 | 0.05582 | 17.88631 |
26.9 | 0.45243 | 0.8918 | 0.50733 | ♦ | 56.9 | 0.83772 | 0.5461 | 1.534 | ♦ | 86.9 | 0.99854 | 0.05408 | 18.46447 |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
27 | 0.45399 | 0.89101 | 0.50953 | ♦ | 57 | 0.83867 | 0.54464 | 1.53986 | ♦ | 87 | 0.99863 | 0.05234 | 19.08114 |
27.1 | 0.45554 | 0.89021 | 0.51173 | ♦ | 57.1 | 0.83962 | 0.54317 | 1.54576 | ♦ | 87.1 | 0.99872 | 0.05059 | 19.74029 |
27.2 | 0.4571 | 0.88942 | 0.51393 | ♦ | 57.2 | 0.84057 | 0.54171 | 1.5517 | ♦ | 87.2 | 0.99881 | 0.04885 | 20.44649 |
27.3 | 0.45865 | 0.88862 | 0.51614 | ♦ | 57.3 | 0.84151 | 0.54024 | 1.55766 | ♦ | 87.3 | 0.99889 | 0.04711 | 21.20495 |
27.4 | 0.4602 | 0.88782 | 0.51835 | ♦ | 57.4 | 0.84245 | 0.53877 | 1.56366 | ♦ | 87.4 | 0.99897 | 0.04536 | 22.02171 |
27.5 | 0.46175 | 0.88701 | 0.52057 | ♦ | 57.5 | 0.84339 | 0.5373 | 1.56969 | ♦ | 87.5 | 0.99905 | 0.04362 | 22.90377 |
27.6 | 0.4633 | 0.8862 | 0.52279 | ♦ | 57.6 | 0.84433 | 0.53583 | 1.57575 | ♦ | 87.6 | 0.99912 | 0.04188 | 23.85928 |
27.7 | 0.46484 | 0.88539 | 0.52501 | ♦ | 57.7 | 0.84526 | 0.53435 | 1.58184 | ♦ | 87.7 | 0.99919 | 0.04013 | 24.89783 |
27.8 | 0.46639 | 0.88458 | 0.52724 | ♦ | 57.8 | 0.84619 | 0.53288 | 1.58797 | ♦ | 87.8 | 0.99926 | 0.03839 | 26.03074 |
27.9 | 0.46793 | 0.88377 | 0.52947 | ♦ | 57.9 | 0.84712 | 0.5314 | 1.59414 | ♦ | 87.9 | 0.99933 | 0.03664 | 27.27149 |
28 | 0.46947 | 0.88295 | 0.53171 | ♦ | 58 | 0.84805 | 0.52992 | 1.60033 | ♦ | 88 | 0.99939 | 0.0349 | 28.63625 |
28.1 | 0.47101 | 0.88213 | 0.53395 | ♦ | 58.1 | 0.84897 | 0.52844 | 1.60657 | ♦ | 88.1 | 0.99945 | 0.03316 | 30.14462 |
28.2 | 0.47255 | 0.8813 | 0.5362 | ♦ | 58.2 | 0.84989 | 0.52696 | 1.61283 | ♦ | 88.2 | 0.99951 | 0.03141 | 31.82052 |
28.3 | 0.47409 | 0.88048 | 0.53844 | ♦ | 58.3 | 0.85081 | 0.52547 | 1.61914 | ♦ | 88.3 | 0.99956 | 0.02967 | 33.69351 |
28.4 | 0.47562 | 0.87965 | 0.5407 | ♦ | 58.4 | 0.85173 | 0.52399 | 1.62548 | ♦ | 88.4 | 0.99961 | 0.02792 | 35.80055 |
28.5 | 0.47716 | 0.87882 | 0.54296 | ♦ | 58.5 | 0.85264 | 0.5225 | 1.63185 | ♦ | 88.5 | 0.99966 | 0.02618 | 38.18846 |
28.6 | 0.47869 | 0.87798 | 0.54522 | ♦ | 58.6 | 0.85355 | 0.52101 | 1.63826 | ♦ | 88.6 | 0.9997 | 0.02443 | 40.91741 |
28.7 | 0.48022 | 0.87715 | 0.54748 | ♦ | 58.7 | 0.85446 | 0.51952 | 1.64471 | ♦ | 88.7 | 0.99974 | 0.02269 | 44.06611 |
28.8 | 0.48175 | 0.87631 | 0.54975 | ♦ | 58.8 | 0.85536 | 0.51803 | 1.6512 | ♦ | 88.8 | 0.99978 | 0.02094 | 47.7395 |
28.9 | 0.48328 | 0.87546 | 0.55203 | ♦ | 58.9 | 0.85627 | 0.51653 | 1.65772 | ♦ | 88.9 | 0.99982 | 0.0192 | 52.08067 |
29 | 0.48481 | 0.87462 | 0.55431 | ♦ | 59 | 0.85717 | 0.51504 | 1.66428 | ♦ | 89 | 0.99985 | 0.01745 | 57.28996 |
29.1 | 0.48634 | 0.87377 | 0.55659 | ♦ | 59.1 | 0.85806 | 0.51354 | 1.67088 | ♦ | 89.1 | 0.99988 | 0.01571 | 63.65674 |
29.2 | 0.48786 | 0.87292 | 0.55888 | ♦ | 59.2 | 0.85896 | 0.51204 | 1.67752 | ♦ | 89.2 | 0.9999 | 0.01396 | 71.61507 |
29.3 | 0.48938 | 0.87207 | 0.56117 | ♦ | 59.3 | 0.85985 | 0.51054 | 1.68419 | ♦ | 89.3 | 0.99993 | 0.01222 | 81.84704 |
29.4 | 0.4909 | 0.87121 | 0.56347 | ♦ | 59.4 | 0.86074 | 0.50904 | 1.69091 | ♦ | 89.4 | 0.99995 | 0.01047 | 95.48948 |
29.5 | 0.49242 | 0.87036 | 0.56577 | ♦ | 59.5 | 0.86163 | 0.50754 | 1.69766 | ♦ | 89.5 | 0.99996 | 0.00873 | 114.58865 |
29.6 | 0.49394 | 0.86949 | 0.56808 | ♦ | 59.6 | 0.86251 | 0.50603 | 1.70446 | ♦ | 89.6 | 0.99998 | 0.00698 | 143.23712 |
29.7 | 0.49546 | 0.86863 | 0.57039 | ♦ | 59.7 | 0.8634 | 0.50453 | 1.71129 | ♦ | 89.7 | 0.99999 | 0.00524 | 190.98419 |
29.8 | 0.49697 | 0.86777 | 0.57271 | ♦ | 59.8 | 0.86427 | 0.50302 | 1.71817 | ♦ | 89.8 | 0.99999 | 0.00349 | 286.47773 |
29.9 | 0.49849 | 0.8669 | 0.57503 | ♦ | 59.9 | 0.86515 | 0.50151 | 1.72509 | ♦ | 89.9 | 1 | 0.00175 | 572.95721 |
30 | 0.5 | 0.86603 | 0.57735 | ♦ | 60 | 0.86603 | 0.5 | 1.73205 | ♦ | 90 | 1 | 0 | ∞ |
DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN | ♦ | DEG | SIN | COS | TAN |
z - Table (Mean to z) | |||||||||||
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
0 | 0 | 0.004 | 0.008 | 0.012 | 0.016 | 0.0199 | 0.0239 | 0.0279 | 0.0319 | 0.0359 | 0 |
0.1 | 0.0398 | 0.0438 | 0.0478 | 0.0517 | 0.0557 | 0.0596 | 0.0636 | 0.0675 | 0.0714 | 0.0753 | 0.1 |
0.2 | 0.0793 | 0.0832 | 0.0871 | 0.091 | 0.0948 | 0.0987 | 0.1026 | 0.1064 | 0.1103 | 0.1141 | 0.2 |
0.3 | 0.1179 | 0.1217 | 0.1255 | 0.1293 | 0.1331 | 0.1368 | 0.1406 | 0.1443 | 0.148 | 0.1517 | 0.3 |
0.4 | 0.1554 | 0.1591 | 0.1628 | 0.1664 | 0.17 | 0.1736 | 0.1772 | 0.1808 | 0.1844 | 0.1879 | 0.4 |
0.5 | 0.1915 | 0.195 | 0.1985 | 0.2019 | 0.2054 | 0.2088 | 0.2123 | 0.2157 | 0.219 | 0.2224 | 0.5 |
0.6 | 0.2257 | 0.2291 | 0.2324 | 0.2357 | 0.2389 | 0.2422 | 0.2454 | 0.2486 | 0.2517 | 0.2549 | 0.6 |
0.7 | 0.258 | 0.2611 | 0.2642 | 0.2673 | 0.2704 | 0.2734 | 0.2764 | 0.2794 | 0.2823 | 0.2852 | 0.7 |
0.8 | 0.2881 | 0.291 | 0.2939 | 0.2967 | 0.2995 | 0.3023 | 0.3051 | 0.3078 | 0.3106 | 0.3133 | 0.8 |
0.9 | 0.3159 | 0.3186 | 0.3212 | 0.3238 | 0.3264 | 0.3289 | 0.3315 | 0.3304 | 0.3365 | 0.3389 | 0.9 |
1 | 0.3413 | 0.3438 | 0.3461 | 0.3485 | 0.3508 | 0.3531 | 0.3554 | 0.3577 | 0.3599 | 0.3621 | 1 |
1.1 | 0.3643 | 0.3665 | 0.3686 | 0.3708 | 0.3729 | 0.3749 | 0.377 | 0.379 | 0.381 | 0.383 | 1.1 |
1.2 | 0.3849 | 0.3869 | 0.3888 | 0.3907 | 0.3925 | 0.3944 | 0.3962 | 0.398 | 0.3997 | 0.4015 | 1.2 |
1.3 | 0.4032 | 0.4049 | 0.4066 | 0.4082 | 0.4099 | 0.4115 | 0.4131 | 0.4147 | 0.4162 | 0.4177 | 1.3 |
1.4 | 0.4192 | 0.4207 | 0.4222 | 0.4236 | 0.4251 | 0.4265 | 0.4279 | 0.4292 | 0.4306 | 0.4319 | 1.4 |
1.5 | 0.4332 | 0.4345 | 0.4357 | 0.437 | 0.4382 | 0.4394 | 0.4406 | 0.4418 | 0.4429 | 0.4441 | 1.5 |
1.6 | 0.4452 | 0.4463 | 0.4474 | 0.4484 | 0.4495 | 0.4505 | 0.4515 | 0.4525 | 0.4535 | 0.4545 | 1.6 |
1.7 | 0.4554 | 0.4564 | 0.4573 | 0.4582 | 0.4591 | 0.4599 | 0.4608 | 0.4616 | 0.4625 | 0.4633 | 1.7 |
1.8 | 0.4641 | 0.4649 | 0.4656 | 0.4664 | 0.4671 | 0.4678 | 0.4686 | 0.4693 | 0.4699 | 0.4706 | 1.8 |
1.9 | 0.4713 | 0.4719 | 0.4726 | 0.4732 | 0.4738 | 0.4744 | 0.475 | 0.4756 | 0.4761 | 0.4767 | 1.9 |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
2 | 0.4772 | 0.4778 | 0.4783 | 0.4788 | 0.4793 | 0.4798 | 0.4803 | 0.4808 | 0.4812 | 0.4817 | 2 |
2.1 | 0.4821 | 0.4826 | 0.483 | 0.4834 | 0.4838 | 0.4842 | 0.4846 | 0.485 | 0.4854 | 0.4857 | 2.1 |
2.2 | 0.4861 | 0.4864 | 0.4868 | 0.4871 | 0.4875 | 0.4878 | 0.4881 | 0.4884 | 0.4887 | 0.489 | 2.2 |
2.3 | 0.4893 | 0.4896 | 0.4898 | 0.4901 | 0.4904 | 0.4906 | 0.4909 | 0.4911 | 0.4913 | 0.4916 | 2.3 |
2.4 | 0.4918 | 0.492 | 0.4922 | 0.4925 | 0.4927 | 0.4929 | 0.4931 | 0.4932 | 0.4934 | 0.4936 | 2.4 |
2.5 | 0.4938 | 0.494 | 0.4941 | 0.4943 | 0.4945 | 0.4946 | 0.4948 | 0.4949 | 0.4951 | 0.4952 | 2.5 |
2.6 | 0.4953 | 0.4955 | 0.4956 | 0.4957 | 0.4959 | 0.496 | 0.4961 | 0.4962 | 0.4963 | 0.4964 | 2.6 |
2.7 | 0.4965 | 0.4966 | 0.4967 | 0.4968 | 0.4969 | 0.497 | 0.4971 | 0.4972 | 0.4973 | 0.4974 | 2.7 |
2.8 | 0.4974 | 0.4975 | 0.4976 | 0.4977 | 0.4977 | 0.4978 | 0.4979 | 0.4979 | 0.498 | 0.4981 | 2.8 |
2.9 | 0.4981 | 0.4982 | 0.4982 | 0.4983 | 0.4984 | 0.4984 | 0.4985 | 0.4985 | 0.4986 | 0.4986 | 2.9 |
3 | 0.4987 | 0.4987 | 0.4987 | 0.4988 | 0.4988 | 0.4989 | 0.4989 | 0.4989 | 0.499 | 0.499 | 3 |
3.1 | 0.499 | 0.4991 | 0.4991 | 0.4991 | 0.4992 | 0.4992 | 0.4992 | 0.4992 | 0.4993 | 0.4993 | 3.1 |
3.2 | 0.4993 | 0.4993 | 0.4994 | 0.4994 | 0.4994 | 0.4994 | 0.4994 | 0.4995 | 0.4995 | 0.4995 | 3.2 |
3.3 | 0.4995 | 0.4995 | 0.4995 | 0.4996 | 0.4996 | 0.4996 | 0.4996 | 0.4996 | 0.4996 | 0.4997 | 3.3 |
3.4 | 0.4997 | 0.4997 | 0.4997 | 0.4997 | 0.4997 | 0.4997 | 0.4997 | 0.4997 | 0.4997 | 0.4998 | 3.4 |
3.5 | 0.4998 | 0.4998 | 0.4998 | 0.4998 | 0.4998 | 0.4998 | 0.4998 | 0.4998 | 0.4998 | 0.4998 | 3.5 |
3.6 | 0.4998 | 0.4998 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 3.6 |
3.7 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 3.7 |
3.8 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 0.4999 | 3.8 |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
z - Table (Left of z) | |||||||||||
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
-3.9 | 0.00005 | 0.00005 | 0.00004 | 0.00004 | 0.00004 | 0.00004 | 0.00004 | 0.00004 | 0.00003 | 0.00003 | -3.9 |
-3.8 | 0.00007 | 0.00007 | 0.00007 | 0.00006 | 0.00006 | 0.00006 | 0.00006 | 0.00005 | 0.00005 | 0.00005 | -3.8 |
-3.7 | 0.00011 | 0.0001 | 0.0001 | 0.0001 | 0.00009 | 0.00009 | 0.00008 | 0.00008 | 0.00008 | 0.00008 | -3.7 |
-3.6 | 0.00016 | 0.00015 | 0.00015 | 0.00014 | 0.00014 | 0.00013 | 0.00013 | 0.00012 | 0.00012 | 0.00011 | -3.6 |
-3.5 | 0.00023 | 0.00022 | 0.00022 | 0.00021 | 0.0002 | 0.00019 | 0.00019 | 0.00018 | 0.00017 | 0.00017 | -3.5 |
-3.4 | 0.00034 | 0.00032 | 0.00031 | 0.0003 | 0.00029 | 0.00028 | 0.00027 | 0.00026 | 0.00025 | 0.00024 | -3.4 |
-3.3 | 0.00048 | 0.00047 | 0.00045 | 0.00043 | 0.00042 | 0.0004 | 0.00039 | 0.00038 | 0.00036 | 0.00035 | -3.3 |
-3.2 | 0.00069 | 0.00066 | 0.00064 | 0.00062 | 0.0006 | 0.00058 | 0.00056 | 0.00054 | 0.00052 | 0.0005 | -3.2 |
-3.1 | 0.00097 | 0.00094 | 0.0009 | 0.00087 | 0.00084 | 0.00082 | 0.00079 | 0.00076 | 0.00074 | 0.00071 | -3.1 |
-3 | 0.00135 | 0.00131 | 0.00126 | 0.00122 | 0.00118 | 0.00114 | 0.00111 | 0.00107 | 0.00104 | 0.001 | -3 |
-2.9 | 0.00187 | 0.00181 | 0.00175 | 0.00169 | 0.00164 | 0.00159 | 0.00154 | 0.00149 | 0.00144 | 0.00139 | -2.9 |
-2.8 | 0.00256 | 0.00248 | 0.0024 | 0.00233 | 0.00226 | 0.00219 | 0.00212 | 0.00205 | 0.00199 | 0.00193 | -2.8 |
-2.7 | 0.00347 | 0.00336 | 0.00326 | 0.00317 | 0.00307 | 0.00298 | 0.00289 | 0.0028 | 0.00272 | 0.00264 | -2.7 |
-2.6 | 0.00466 | 0.00453 | 0.0044 | 0.00427 | 0.00415 | 0.00402 | 0.00391 | 0.00379 | 0.00368 | 0.00357 | -2.6 |
-2.5 | 0.00621 | 0.00604 | 0.00587 | 0.0057 | 0.00554 | 0.00539 | 0.00523 | 0.00508 | 0.00494 | 0.0048 | -2.5 |
-2.4 | 0.0082 | 0.00798 | 0.00776 | 0.00755 | 0.00734 | 0.00714 | 0.00695 | 0.00676 | 0.00657 | 0.00639 | -2.4 |
-2.3 | 0.01072 | 0.01044 | 0.01017 | 0.0099 | 0.00964 | 0.00939 | 0.00914 | 0.00889 | 0.00866 | 0.00842 | -2.3 |
-2.2 | 0.0139 | 0.01355 | 0.01321 | 0.01287 | 0.01255 | 0.01222 | 0.01191 | 0.0116 | 0.0113 | 0.01101 | -2.2 |
-2.1 | 0.01786 | 0.01743 | 0.017 | 0.01659 | 0.01618 | 0.01578 | 0.01539 | 0.015 | 0.01463 | 0.01426 | -2.1 |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
-2 | 0.02275 | 0.02222 | 0.02169 | 0.02118 | 0.02068 | 0.02018 | 0.0197 | 0.01923 | 0.01876 | 0.01831 | -2 |
-1.9 | 0.02872 | 0.02807 | 0.02743 | 0.0268 | 0.02619 | 0.02559 | 0.025 | 0.02442 | 0.02385 | 0.0233 | -1.9 |
-1.8 | 0.03593 | 0.03515 | 0.03438 | 0.03362 | 0.03288 | 0.03216 | 0.03144 | 0.03074 | 0.03005 | 0.02938 | -1.8 |
-1.7 | 0.04457 | 0.04363 | 0.04272 | 0.04182 | 0.04093 | 0.04006 | 0.0392 | 0.03836 | 0.03754 | 0.03673 | -1.7 |
-1.6 | 0.0548 | 0.0537 | 0.05262 | 0.05155 | 0.0505 | 0.04947 | 0.04846 | 0.04746 | 0.04648 | 0.04551 | -1.6 |
-1.5 | 0.06681 | 0.06552 | 0.06426 | 0.06301 | 0.06178 | 0.06057 | 0.05938 | 0.05821 | 0.05705 | 0.05592 | -1.5 |
-1.4 | 0.08076 | 0.07927 | 0.0778 | 0.07636 | 0.07493 | 0.07353 | 0.07215 | 0.07078 | 0.06944 | 0.06811 | -1.4 |
-1.3 | 0.0968 | 0.0951 | 0.09342 | 0.09176 | 0.09012 | 0.08851 | 0.08691 | 0.08534 | 0.08379 | 0.08226 | -1.3 |
-1.2 | 0.11507 | 0.11314 | 0.11123 | 0.10935 | 0.10749 | 0.10565 | 0.10383 | 0.10204 | 0.10027 | 0.09853 | -1.2 |
-1.1 | 0.13567 | 0.1335 | 0.13136 | 0.12924 | 0.12714 | 0.12507 | 0.12302 | 0.121 | 0.119 | 0.11702 | -1.1 |
-1 | 0.15866 | 0.15625 | 0.15386 | 0.15151 | 0.14917 | 0.14686 | 0.14457 | 0.14231 | 0.14007 | 0.13786 | -1 |
-0.9 | 0.18406 | 0.18141 | 0.17879 | 0.17619 | 0.17361 | 0.17106 | 0.16853 | 0.16602 | 0.16354 | 0.16109 | -0.9 |
-0.8 | 0.21186 | 0.20897 | 0.20611 | 0.20327 | 0.20045 | 0.19766 | 0.19489 | 0.19215 | 0.18943 | 0.18673 | -0.8 |
-0.7 | 0.24196 | 0.23885 | 0.23576 | 0.2327 | 0.22965 | 0.22663 | 0.22363 | 0.22065 | 0.2177 | 0.21476 | -0.7 |
-0.6 | 0.27425 | 0.27093 | 0.26763 | 0.26435 | 0.26109 | 0.25785 | 0.25463 | 0.25143 | 0.24825 | 0.2451 | -0.6 |
-0.5 | 0.30854 | 0.30503 | 0.30153 | 0.29806 | 0.2946 | 0.29116 | 0.28774 | 0.28434 | 0.28096 | 0.2776 | -0.5 |
-0.4 | 0.34458 | 0.3409 | 0.33724 | 0.3336 | 0.32997 | 0.32636 | 0.32276 | 0.31918 | 0.31561 | 0.31207 | -0.4 |
-0.3 | 0.38209 | 0.37828 | 0.37448 | 0.3707 | 0.36693 | 0.36317 | 0.35942 | 0.35569 | 0.35197 | 0.34827 | -0.3 |
-0.2 | 0.42074 | 0.41683 | 0.41294 | 0.40905 | 0.40517 | 0.40129 | 0.39743 | 0.39358 | 0.38974 | 0.38591 | -0.2 |
-0.1 | 0.46017 | 0.4562 | 0.45224 | 0.44828 | 0.44433 | 0.44038 | 0.43644 | 0.43251 | 0.42858 | 0.42465 | -0.1 |
0 | 0.5 | 0.49601 | 0.49202 | 0.48803 | 0.48405 | 0.48006 | 0.47608 | 0.4721 | 0.46812 | 0.46414 | 0 |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
0 | 0.5 | 0.50399 | 0.50798 | 0.51197 | 0.51595 | 0.51994 | 0.52392 | 0.5279 | 0.53188 | 0.53586 | 0 |
0.1 | 0.53983 | 0.5438 | 0.54776 | 0.55172 | 0.55567 | 0.55962 | 0.56356 | 0.56749 | 0.57142 | 0.57535 | 0.1 |
0.2 | 0.57926 | 0.58317 | 0.58706 | 0.59095 | 0.59483 | 0.59871 | 0.60257 | 0.60642 | 0.61026 | 0.61409 | 0.2 |
0.3 | 0.61791 | 0.62172 | 0.62552 | 0.6293 | 0.63307 | 0.63683 | 0.64058 | 0.64431 | 0.64803 | 0.65173 | 0.3 |
0.4 | 0.65542 | 0.6591 | 0.66276 | 0.6664 | 0.67003 | 0.67364 | 0.67724 | 0.68082 | 0.68439 | 0.68793 | 0.4 |
0.5 | 0.69146 | 0.69497 | 0.69847 | 0.70194 | 0.7054 | 0.70884 | 0.71226 | 0.71566 | 0.71904 | 0.7224 | 0.5 |
0.6 | 0.72575 | 0.72907 | 0.73237 | 0.73565 | 0.73891 | 0.74215 | 0.74537 | 0.74857 | 0.75175 | 0.7549 | 0.6 |
0.7 | 0.75804 | 0.76115 | 0.76424 | 0.7673 | 0.77035 | 0.77337 | 0.77637 | 0.77935 | 0.7823 | 0.78524 | 0.7 |
0.8 | 0.78814 | 0.79103 | 0.79389 | 0.79673 | 0.79955 | 0.80234 | 0.80511 | 0.80785 | 0.81057 | 0.81327 | 0.8 |
0.9 | 0.81594 | 0.81859 | 0.82121 | 0.82381 | 0.82639 | 0.82894 | 0.83147 | 0.83398 | 0.83646 | 0.83891 | 0.9 |
1 | 0.84134 | 0.84375 | 0.84614 | 0.84849 | 0.85083 | 0.85314 | 0.85543 | 0.85769 | 0.85993 | 0.86214 | 1 |
1.1 | 0.86433 | 0.8665 | 0.86864 | 0.87076 | 0.87286 | 0.87493 | 0.87698 | 0.879 | 0.881 | 0.88298 | 1.1 |
1.2 | 0.88493 | 0.88686 | 0.88877 | 0.89065 | 0.89251 | 0.89435 | 0.89617 | 0.89796 | 0.89973 | 0.90147 | 1.2 |
1.3 | 0.9032 | 0.9049 | 0.90658 | 0.90824 | 0.90988 | 0.91149 | 0.91309 | 0.91466 | 0.91621 | 0.91774 | 1.3 |
1.4 | 0.91924 | 0.92073 | 0.9222 | 0.92364 | 0.92507 | 0.92647 | 0.92785 | 0.92922 | 0.93056 | 0.93189 | 1.4 |
1.5 | 0.93319 | 0.93448 | 0.93574 | 0.93699 | 0.93822 | 0.93943 | 0.94062 | 0.94179 | 0.94295 | 0.94408 | 1.5 |
1.6 | 0.9452 | 0.9463 | 0.94738 | 0.94845 | 0.9495 | 0.95053 | 0.95154 | 0.95254 | 0.95352 | 0.95449 | 1.6 |
1.7 | 0.95543 | 0.95637 | 0.95728 | 0.95818 | 0.95907 | 0.95994 | 0.9608 | 0.96164 | 0.96246 | 0.96327 | 1.7 |
1.8 | 0.96407 | 0.96485 | 0.96562 | 0.96638 | 0.96712 | 0.96784 | 0.96856 | 0.96926 | 0.96995 | 0.97062 | 1.8 |
1.9 | 0.97128 | 0.97193 | 0.97257 | 0.9732 | 0.97381 | 0.97441 | 0.975 | 0.97558 | 0.97615 | 0.9767 | 1.9 |
2 | 0.97725 | 0.97778 | 0.97831 | 0.97882 | 0.97932 | 0.97982 | 0.9803 | 0.98077 | 0.98124 | 0.98169 | 2 |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
2.1 | 0.98214 | 0.98257 | 0.983 | 0.98341 | 0.98382 | 0.98422 | 0.98461 | 0.985 | 0.98537 | 0.98574 | 2.1 |
2.2 | 0.9861 | 0.98645 | 0.98679 | 0.98713 | 0.98745 | 0.98778 | 0.98809 | 0.9884 | 0.9887 | 0.98899 | 2.2 |
2.3 | 0.98928 | 0.98956 | 0.98983 | 0.9901 | 0.99036 | 0.99061 | 0.99086 | 0.99111 | 0.99134 | 0.99158 | 2.3 |
2.4 | 0.9918 | 0.99202 | 0.99224 | 0.99245 | 0.99266 | 0.99286 | 0.99305 | 0.99324 | 0.99343 | 0.99361 | 2.4 |
2.5 | 0.99379 | 0.99396 | 0.99413 | 0.9943 | 0.99446 | 0.99461 | 0.99477 | 0.99492 | 0.99506 | 0.9952 | 2.5 |
2.6 | 0.99534 | 0.99547 | 0.9956 | 0.99573 | 0.99585 | 0.99598 | 0.99609 | 0.99621 | 0.99632 | 0.99643 | 2.6 |
2.7 | 0.99653 | 0.99664 | 0.99674 | 0.99683 | 0.99693 | 0.99702 | 0.99711 | 0.9972 | 0.99728 | 0.99736 | 2.7 |
2.8 | 0.99744 | 0.99752 | 0.9976 | 0.99767 | 0.99774 | 0.99781 | 0.99788 | 0.99795 | 0.99801 | 0.99807 | 2.8 |
2.9 | 0.99813 | 0.99819 | 0.99825 | 0.99831 | 0.99836 | 0.99841 | 0.99846 | 0.99851 | 0.99856 | 0.99861 | 2.9 |
3 | 0.99865 | 0.99869 | 0.99874 | 0.99878 | 0.99882 | 0.99886 | 0.99889 | 0.99893 | 0.99896 | 0.999 | 3 |
3.1 | 0.99903 | 0.99906 | 0.9991 | 0.99913 | 0.99916 | 0.99918 | 0.99921 | 0.99924 | 0.99926 | 0.99929 | 3.1 |
3.2 | 0.99931 | 0.99934 | 0.99936 | 0.99938 | 0.9994 | 0.99942 | 0.99944 | 0.99946 | 0.99948 | 0.9995 | 3.2 |
3.3 | 0.99952 | 0.99953 | 0.99955 | 0.99957 | 0.99958 | 0.9996 | 0.99961 | 0.99962 | 0.99964 | 0.99965 | 3.3 |
3.4 | 0.99966 | 0.99968 | 0.99969 | 0.9997 | 0.99971 | 0.99972 | 0.99973 | 0.99974 | 0.99975 | 0.99976 | 3.4 |
3.5 | 0.99977 | 0.99978 | 0.99978 | 0.99979 | 0.9998 | 0.99981 | 0.99981 | 0.99982 | 0.99983 | 0.99983 | 3.5 |
3.6 | 0.99984 | 0.99985 | 0.99985 | 0.99986 | 0.99986 | 0.99987 | 0.99987 | 0.99988 | 0.99988 | 0.99989 | 3.6 |
3.7 | 0.99989 | 0.9999 | 0.9999 | 0.9999 | 0.99991 | 0.99991 | 0.99992 | 0.99992 | 0.99992 | 0.99992 | 3.7 |
3.8 | 0.99993 | 0.99993 | 0.99993 | 0.99994 | 0.99994 | 0.99994 | 0.99994 | 0.99995 | 0.99995 | 0.99995 | 3.8 |
3.9 | 0.99995 | 0.99995 | 0.99996 | 0.99996 | 0.99996 | 0.99996 | 0.99996 | 0.99996 | 0.99997 | 0.99997 | 3.9 |
z | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | z |
Trigonometry Table (Csc Sec Cot) | |||||||||||||
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
0 | ∞ | 1 | ∞ | ♦ | 30 | 2 | 1.15469 | 1.73205 | ♦ | 60 | 1.15469 | 2 | 0.57735 |
0.1 | 571.429 | 1 | 571.429 | ♦ | 30.1 | 1.99398 | 1.15587 | 1.72509 | ♦ | 60.1 | 1.15354 | 2.00606 | 0.57503 |
0.2 | 286.533 | 1.00001 | 286.533 | ♦ | 30.2 | 1.98799 | 1.15705 | 1.71818 | ♦ | 60.2 | 1.15238 | 2.01219 | 0.5727 |
0.3 | 190.84 | 1.00001 | 190.84 | ♦ | 30.3 | 1.98204 | 1.15821 | 1.7113 | ♦ | 60.3 | 1.15124 | 2.01833 | 0.57039 |
0.4 | 143.266 | 1.00002 | 143.266 | ♦ | 30.4 | 1.97617 | 1.15941 | 1.70445 | ♦ | 60.4 | 1.1501 | 2.02454 | 0.56808 |
0.5 | 114.548 | 1.00004 | 114.548 | ♦ | 30.5 | 1.97029 | 1.16059 | 1.69765 | ♦ | 60.5 | 1.14895 | 2.03079 | 0.56577 |
0.6 | 95.511 | 1.00005 | 95.511 | ♦ | 30.6 | 1.96448 | 1.16179 | 1.6909 | ♦ | 60.6 | 1.14783 | 2.03707 | 0.56347 |
0.7 | 81.8331 | 1.00007 | 81.8331 | ♦ | 30.7 | 1.95871 | 1.16299 | 1.68418 | ♦ | 60.7 | 1.1467 | 2.0434 | 0.56117 |
0.8 | 71.6332 | 1.0001 | 71.6332 | ♦ | 30.8 | 1.95297 | 1.1642 | 1.67751 | ♦ | 60.8 | 1.14558 | 2.04977 | 0.55888 |
0.9 | 63.6537 | 1.00012 | 63.6537 | ♦ | 30.9 | 1.94727 | 1.16542 | 1.67087 | ♦ | 60.9 | 1.14447 | 2.05617 | 0.55659 |
1 | 57.3066 | 1.00015 | 57.2738 | ♦ | 31 | 1.9416 | 1.16663 | 1.66428 | ♦ | 61 | 1.14335 | 2.06266 | 0.55431 |
1.1 | 52.0833 | 1.00018 | 52.0833 | ♦ | 31.1 | 1.936 | 1.16786 | 1.65772 | ♦ | 61.1 | 1.14226 | 2.06919 | 0.55203 |
1.2 | 47.7555 | 1.00022 | 47.7327 | ♦ | 31.2 | 1.93039 | 1.1691 | 1.6512 | ♦ | 61.2 | 1.14115 | 2.07577 | 0.54976 |
1.3 | 44.0723 | 1.00026 | 44.0723 | ♦ | 31.3 | 1.92485 | 1.17033 | 1.64471 | ♦ | 61.3 | 1.14006 | 2.08238 | 0.54748 |
1.4 | 40.9333 | 1.0003 | 40.9165 | ♦ | 31.4 | 1.91935 | 1.17158 | 1.63827 | ♦ | 61.4 | 1.13898 | 2.08903 | 0.54522 |
1.5 | 38.1971 | 1.00034 | 38.1825 | ♦ | 31.5 | 1.91388 | 1.17283 | 1.63185 | ♦ | 61.5 | 1.13789 | 2.09573 | 0.54296 |
1.6 | 35.8166 | 1.00039 | 35.8038 | ♦ | 31.6 | 1.90843 | 1.17408 | 1.62549 | ♦ | 61.6 | 1.13682 | 2.10252 | 0.5407 |
1.7 | 33.7041 | 1.00044 | 33.6927 | ♦ | 31.7 | 1.90306 | 1.17535 | 1.61914 | ♦ | 61.7 | 1.13574 | 2.1093 | 0.53844 |
1.8 | 31.837 | 1.00049 | 31.8167 | ♦ | 31.8 | 1.89768 | 1.17662 | 1.61283 | ♦ | 61.8 | 1.13469 | 2.11618 | 0.5362 |
1.9 | 30.1568 | 1.00055 | 30.1477 | ♦ | 31.9 | 1.89236 | 1.1779 | 1.60655 | ♦ | 61.9 | 1.13362 | 2.1231 | 0.53395 |
2 | 28.6533 | 1.00061 | 28.6369 | ♦ | 32 | 1.88708 | 1.17918 | 1.60033 | ♦ | 62 | 1.13257 | 2.13006 | 0.53171 |
2.1 | 27.2926 | 1.00067 | 27.2702 | ♦ | 32.1 | 1.88182 | 1.18047 | 1.59413 | ♦ | 62.1 | 1.13152 | 2.13707 | 0.52947 |
2.2 | 26.0485 | 1.00074 | 26.0281 | ♦ | 32.2 | 1.8766 | 1.18177 | 1.58798 | ♦ | 62.2 | 1.13048 | 2.14413 | 0.52724 |
2.3 | 24.919 | 1.00081 | 24.9004 | ♦ | 32.3 | 1.87143 | 1.18307 | 1.58185 | ♦ | 62.3 | 1.12945 | 2.15128 | 0.52501 |
2.4 | 23.8777 | 1.00088 | 23.8607 | ♦ | 32.4 | 1.86626 | 1.18437 | 1.57575 | ♦ | 62.4 | 1.12841 | 2.15843 | 0.52279 |
2.5 | 22.9253 | 1.00095 | 22.9043 | ♦ | 32.5 | 1.86116 | 1.18569 | 1.56969 | ♦ | 62.5 | 1.12738 | 2.16567 | 0.52057 |
2.6 | 22.0459 | 1.00103 | 22.0216 | ♦ | 32.6 | 1.85608 | 1.18701 | 1.56365 | ♦ | 62.6 | 1.12635 | 2.17297 | 0.51835 |
2.7 | 21.2269 | 1.00111 | 21.2044 | ♦ | 32.7 | 1.85103 | 1.18834 | 1.55766 | ♦ | 62.7 | 1.12534 | 2.18031 | 0.51614 |
2.8 | 20.4708 | 1.00119 | 20.4457 | ♦ | 32.8 | 1.84601 | 1.18967 | 1.55169 | ♦ | 62.8 | 1.12433 | 2.18771 | 0.51393 |
2.9 | 19.7668 | 1.00128 | 19.7394 | ♦ | 32.9 | 1.84104 | 1.19101 | 1.54576 | ♦ | 62.9 | 1.12333 | 2.1952 | 0.51173 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
3 | 19.1058 | 1.00137 | 19.0803 | ♦ | 33 | 1.83608 | 1.19236 | 1.53986 | ♦ | 63 | 1.12232 | 2.20269 | 0.50953 |
3.1 | 18.4911 | 1.00146 | 18.4638 | ♦ | 33.1 | 1.83117 | 1.19372 | 1.534 | ♦ | 63.1 | 1.12133 | 2.21029 | 0.50733 |
3.2 | 17.9147 | 1.00156 | 17.8859 | ♦ | 33.2 | 1.82628 | 1.19509 | 1.52816 | ♦ | 63.2 | 1.12034 | 2.21789 | 0.50514 |
3.3 | 17.3732 | 1.00166 | 17.343 | ♦ | 33.3 | 1.82143 | 1.19644 | 1.52235 | ♦ | 63.3 | 1.11936 | 2.22559 | 0.50295 |
3.4 | 16.8606 | 1.00176 | 16.8322 | ♦ | 33.4 | 1.8166 | 1.19782 | 1.51658 | ♦ | 63.4 | 1.11838 | 2.23334 | 0.50076 |
3.5 | 16.38 | 1.00187 | 16.3506 | ♦ | 33.5 | 1.81179 | 1.1992 | 1.51083 | ♦ | 63.5 | 1.11741 | 2.24115 | 0.49858 |
3.6 | 15.9261 | 1.00197 | 15.8957 | ♦ | 33.6 | 1.80704 | 1.2006 | 1.50512 | ♦ | 63.6 | 1.11643 | 2.24901 | 0.4964 |
3.7 | 15.4967 | 1.00208 | 15.4631 | ♦ | 33.7 | 1.80232 | 1.202 | 1.49943 | ♦ | 63.7 | 1.11546 | 2.25698 | 0.49423 |
3.8 | 15.0898 | 1.0022 | 15.0557 | ♦ | 33.8 | 1.79759 | 1.2034 | 1.49379 | ♦ | 63.8 | 1.1145 | 2.26495 | 0.49206 |
3.9 | 14.7016 | 1.00233 | 14.6692 | ♦ | 33.9 | 1.79292 | 1.2048 | 1.48816 | ♦ | 63.9 | 1.11355 | 2.27304 | 0.4899 |
4 | 14.3349 | 1.00245 | 14.3 | ♦ | 34 | 1.7883 | 1.20621 | 1.48256 | ♦ | 64 | 1.11261 | 2.28118 | 0.48773 |
4.1 | 13.986 | 1.00257 | 13.9509 | ♦ | 34.1 | 1.78368 | 1.20764 | 1.477 | ♦ | 64.1 | 1.11165 | 2.28938 | 0.48557 |
4.2 | 13.6537 | 1.0027 | 13.6166 | ♦ | 34.2 | 1.77911 | 1.20907 | 1.47145 | ♦ | 64.2 | 1.11072 | 2.29764 | 0.48342 |
4.3 | 13.3369 | 1.00282 | 13.2996 | ♦ | 34.3 | 1.77453 | 1.21051 | 1.46595 | ♦ | 64.3 | 1.10978 | 2.30595 | 0.48127 |
4.4 | 13.0344 | 1.00296 | 12.9955 | ♦ | 34.4 | 1.77001 | 1.21196 | 1.46047 | ♦ | 64.4 | 1.10886 | 2.31433 | 0.47912 |
4.5 | 12.7453 | 1.00309 | 12.7065 | ♦ | 34.5 | 1.76551 | 1.2134 | 1.45501 | ♦ | 64.5 | 1.10792 | 2.32283 | 0.47698 |
4.6 | 12.4688 | 1.00323 | 12.4285 | ♦ | 34.6 | 1.76106 | 1.21486 | 1.44959 | ♦ | 64.6 | 1.107 | 2.33133 | 0.47483 |
4.7 | 12.2041 | 1.00337 | 12.164 | ♦ | 34.7 | 1.7566 | 1.21634 | 1.44419 | ♦ | 64.7 | 1.1061 | 2.33995 | 0.4727 |
4.8 | 11.9503 | 1.00352 | 11.909 | ♦ | 34.8 | 1.7522 | 1.2178 | 1.43881 | ♦ | 64.8 | 1.10518 | 2.34863 | 0.47056 |
4.9 | 11.7069 | 1.00366 | 11.6645 | ♦ | 34.9 | 1.74779 | 1.21929 | 1.43347 | ♦ | 64.9 | 1.10428 | 2.35738 | 0.46843 |
5 | 11.4732 | 1.00382 | 11.4299 | ♦ | 35 | 1.74344 | 1.22078 | 1.42814 | ♦ | 65 | 1.10338 | 2.36619 | 0.46631 |
5.1 | 11.2499 | 1.00398 | 11.2045 | ♦ | 35.1 | 1.7391 | 1.22227 | 1.42286 | ♦ | 65.1 | 1.10249 | 2.37507 | 0.46418 |
5.2 | 11.0339 | 1.00414 | 10.9878 | ♦ | 35.2 | 1.73482 | 1.22378 | 1.4176 | ♦ | 65.2 | 1.10159 | 2.38407 | 0.46206 |
5.3 | 10.826 | 1.0043 | 10.7793 | ♦ | 35.3 | 1.73052 | 1.22528 | 1.41235 | ♦ | 65.3 | 1.1007 | 2.39309 | 0.45995 |
5.4 | 10.6259 | 1.00446 | 10.5787 | ♦ | 35.4 | 1.72628 | 1.2268 | 1.40714 | ♦ | 65.4 | 1.09982 | 2.40223 | 0.45784 |
5.5 | 10.433 | 1.00462 | 10.3853 | ♦ | 35.5 | 1.72206 | 1.22832 | 1.40195 | ♦ | 65.5 | 1.09895 | 2.41144 | 0.45573 |
5.6 | 10.248 | 1.00479 | 10.1989 | ♦ | 35.6 | 1.71786 | 1.22986 | 1.39678 | ♦ | 65.6 | 1.09808 | 2.42072 | 0.45362 |
5.7 | 10.0685 | 1.00496 | 10.019 | ♦ | 35.7 | 1.71368 | 1.23141 | 1.39165 | ♦ | 65.7 | 1.09721 | 2.43007 | 0.45152 |
5.8 | 9.89511 | 1.00515 | 9.84446 | ♦ | 35.8 | 1.70952 | 1.23295 | 1.38654 | ♦ | 65.8 | 1.09635 | 2.4395 | 0.44942 |
5.9 | 9.72857 | 1.00533 | 9.6768 | ♦ | 35.9 | 1.70541 | 1.23451 | 1.38144 | ♦ | 65.9 | 1.09549 | 2.449 | 0.44732 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
6 | 9.56663 | 1.00551 | 9.51475 | ♦ | 36 | 1.70129 | 1.23606 | 1.37639 | ♦ | 66 | 1.09463 | 2.45857 | 0.44523 |
6.1 | 9.41088 | 1.00569 | 9.35716 | ♦ | 36.1 | 1.69722 | 1.23764 | 1.37135 | ♦ | 66.1 | 1.09379 | 2.46828 | 0.44314 |
6.2 | 9.25926 | 1.00588 | 9.20556 | ♦ | 36.2 | 1.69316 | 1.23922 | 1.36633 | ♦ | 66.2 | 1.09294 | 2.47801 | 0.44105 |
6.3 | 9.11328 | 1.00608 | 9.05797 | ♦ | 36.3 | 1.68916 | 1.2408 | 1.36134 | ♦ | 66.3 | 1.09211 | 2.48787 | 0.43897 |
6.4 | 8.97102 | 1.00627 | 8.91504 | ♦ | 36.4 | 1.68515 | 1.24241 | 1.35637 | ♦ | 66.4 | 1.09127 | 2.49781 | 0.43689 |
6.5 | 8.83392 | 1.00647 | 8.77655 | ♦ | 36.5 | 1.68118 | 1.244 | 1.35142 | ♦ | 66.5 | 1.09044 | 2.50784 | 0.43481 |
6.6 | 8.70019 | 1.00667 | 8.64304 | ♦ | 36.6 | 1.67723 | 1.24561 | 1.34649 | ♦ | 66.6 | 1.08962 | 2.51794 | 0.43274 |
6.7 | 8.57118 | 1.00688 | 8.51281 | ♦ | 36.7 | 1.67328 | 1.24722 | 1.3416 | ♦ | 66.7 | 1.08879 | 2.52813 | 0.43067 |
6.8 | 8.44595 | 1.00708 | 8.38645 | ♦ | 36.8 | 1.66939 | 1.24886 | 1.33672 | ♦ | 66.8 | 1.08797 | 2.53846 | 0.4286 |
6.9 | 8.32362 | 1.00729 | 8.26378 | ♦ | 36.9 | 1.6655 | 1.2505 | 1.33188 | ♦ | 66.9 | 1.08717 | 2.54881 | 0.42654 |
7 | 8.20546 | 1.00751 | 8.14465 | ♦ | 37 | 1.66163 | 1.25213 | 1.32705 | ♦ | 67 | 1.08637 | 2.55931 | 0.42448 |
7.1 | 8.09061 | 1.00773 | 8.02826 | ♦ | 37.1 | 1.6578 | 1.25379 | 1.32224 | ♦ | 67.1 | 1.08555 | 2.5699 | 0.42242 |
7.2 | 7.97894 | 1.00795 | 7.91578 | ♦ | 37.2 | 1.65399 | 1.25545 | 1.31745 | ♦ | 67.2 | 1.08476 | 2.58051 | 0.42036 |
7.3 | 7.8703 | 1.00818 | 7.8064 | ♦ | 37.3 | 1.65019 | 1.25712 | 1.31268 | ♦ | 67.3 | 1.08396 | 2.59128 | 0.41831 |
7.4 | 7.76398 | 1.0084 | 7.69941 | ♦ | 37.4 | 1.64642 | 1.2588 | 1.30794 | ♦ | 67.4 | 1.08318 | 2.60213 | 0.41626 |
7.5 | 7.66107 | 1.00863 | 7.5959 | ♦ | 37.5 | 1.64268 | 1.26048 | 1.30322 | ♦ | 67.5 | 1.08239 | 2.61315 | 0.41421 |
7.6 | 7.56086 | 1.00886 | 7.49457 | ♦ | 37.6 | 1.63894 | 1.26216 | 1.29853 | ♦ | 67.6 | 1.08161 | 2.62419 | 0.41217 |
7.7 | 7.46324 | 1.0091 | 7.3959 | ♦ | 37.7 | 1.63524 | 1.26387 | 1.29385 | ♦ | 67.7 | 1.08084 | 2.63532 | 0.41013 |
7.8 | 7.36811 | 1.00934 | 7.30034 | ♦ | 37.8 | 1.63156 | 1.26557 | 1.28919 | ♦ | 67.8 | 1.08007 | 2.64662 | 0.40809 |
7.9 | 7.2759 | 1.00958 | 7.20669 | ♦ | 37.9 | 1.6279 | 1.2673 | 1.28455 | ♦ | 67.9 | 1.0793 | 2.65802 | 0.40606 |
8 | 7.18546 | 1.00983 | 7.11541 | ♦ | 38 | 1.62427 | 1.26902 | 1.27993 | ♦ | 68 | 1.07854 | 2.66944 | 0.40403 |
8.1 | 7.09723 | 1.01008 | 7.02642 | ♦ | 38.1 | 1.62064 | 1.27074 | 1.27535 | ♦ | 68.1 | 1.07777 | 2.68104 | 0.402 |
8.2 | 7.01115 | 1.01033 | 6.93963 | ♦ | 38.2 | 1.61705 | 1.27249 | 1.27078 | ♦ | 68.2 | 1.07702 | 2.69273 | 0.39997 |
8.3 | 6.92713 | 1.01058 | 6.85495 | ♦ | 38.3 | 1.61348 | 1.27424 | 1.26622 | ♦ | 68.3 | 1.07628 | 2.70453 | 0.39795 |
8.4 | 6.84556 | 1.01085 | 6.77186 | ♦ | 38.4 | 1.60992 | 1.27601 | 1.26169 | ♦ | 68.4 | 1.07552 | 2.71651 | 0.39593 |
8.5 | 6.76544 | 1.0111 | 6.6912 | ♦ | 38.5 | 1.6064 | 1.27778 | 1.25717 | ♦ | 68.5 | 1.07478 | 2.72851 | 0.39391 |
8.6 | 6.68717 | 1.01137 | 6.61201 | ♦ | 38.6 | 1.60287 | 1.27956 | 1.25268 | ♦ | 68.6 | 1.07404 | 2.74063 | 0.3919 |
8.7 | 6.61113 | 1.01164 | 6.53509 | ♦ | 38.7 | 1.59939 | 1.28134 | 1.24821 | ♦ | 68.7 | 1.07332 | 2.75292 | 0.38988 |
8.8 | 6.53637 | 1.01191 | 6.45953 | ♦ | 38.8 | 1.59591 | 1.28314 | 1.24375 | ♦ | 68.8 | 1.07259 | 2.76533 | 0.38788 |
8.9 | 6.46371 | 1.01219 | 6.3857 | ♦ | 38.9 | 1.59246 | 1.28495 | 1.23931 | ♦ | 68.9 | 1.07187 | 2.77778 | 0.38587 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
9 | 6.39264 | 1.01246 | 6.31393 | ♦ | 39 | 1.58902 | 1.28675 | 1.2349 | ♦ | 69 | 1.07115 | 2.79041 | 0.38386 |
9.1 | 6.32271 | 1.01275 | 6.24337 | ♦ | 39.1 | 1.58559 | 1.28858 | 1.2305 | ♦ | 69.1 | 1.07043 | 2.80316 | 0.38186 |
9.2 | 6.25469 | 1.01303 | 6.17436 | ♦ | 39.2 | 1.5822 | 1.29042 | 1.22612 | ♦ | 69.2 | 1.06971 | 2.81603 | 0.37986 |
9.3 | 6.18812 | 1.01331 | 6.1065 | ♦ | 39.3 | 1.57883 | 1.29226 | 1.22176 | ♦ | 69.3 | 1.06902 | 2.82909 | 0.37787 |
9.4 | 6.12257 | 1.01361 | 6.04047 | ♦ | 39.4 | 1.57547 | 1.29411 | 1.21742 | ♦ | 69.4 | 1.06831 | 2.8422 | 0.37587 |
9.5 | 6.05877 | 1.0139 | 5.97586 | ♦ | 39.5 | 1.57213 | 1.29597 | 1.21309 | ♦ | 69.5 | 1.06761 | 2.85543 | 0.37388 |
9.6 | 5.99628 | 1.0142 | 5.91226 | ♦ | 39.6 | 1.56882 | 1.29784 | 1.2088 | ♦ | 69.6 | 1.06692 | 2.86886 | 0.3719 |
9.7 | 5.93507 | 1.01451 | 5.85035 | ♦ | 39.7 | 1.56551 | 1.29971 | 1.2045 | ♦ | 69.7 | 1.06622 | 2.88234 | 0.36991 |
9.8 | 5.8751 | 1.01481 | 5.78938 | ♦ | 39.8 | 1.56223 | 1.30161 | 1.20024 | ♦ | 69.8 | 1.06554 | 2.89603 | 0.36793 |
9.9 | 5.81632 | 1.01512 | 5.72967 | ♦ | 39.9 | 1.55897 | 1.30349 | 1.19599 | ♦ | 69.9 | 1.06486 | 2.90985 | 0.36595 |
10 | 5.75871 | 1.01542 | 5.67118 | ♦ | 40 | 1.55572 | 1.30541 | 1.19175 | ♦ | 70 | 1.06418 | 2.92381 | 0.36397 |
10.1 | 5.70223 | 1.01574 | 5.61388 | ♦ | 40.1 | 1.55251 | 1.30733 | 1.18754 | ♦ | 70.1 | 1.0635 | 2.93789 | 0.36199 |
10.2 | 5.64717 | 1.01605 | 5.55772 | ♦ | 40.2 | 1.54928 | 1.30924 | 1.18333 | ♦ | 70.2 | 1.06283 | 2.95212 | 0.36002 |
10.3 | 5.59284 | 1.01637 | 5.50267 | ♦ | 40.3 | 1.5461 | 1.31118 | 1.17916 | ♦ | 70.3 | 1.06217 | 2.96648 | 0.35805 |
10.4 | 5.53955 | 1.0167 | 5.4487 | ♦ | 40.4 | 1.54292 | 1.31313 | 1.17499 | ♦ | 70.4 | 1.0615 | 2.98107 | 0.35608 |
10.5 | 5.48727 | 1.01704 | 5.39549 | ♦ | 40.5 | 1.53976 | 1.31508 | 1.17085 | ♦ | 70.5 | 1.06085 | 2.99572 | 0.35412 |
10.6 | 5.43626 | 1.01736 | 5.34359 | ♦ | 40.6 | 1.53664 | 1.31705 | 1.16673 | ♦ | 70.6 | 1.0602 | 3.0106 | 0.35216 |
10.7 | 5.3859 | 1.0177 | 5.29241 | ♦ | 40.7 | 1.53351 | 1.31903 | 1.1626 | ♦ | 70.7 | 1.05955 | 3.02563 | 0.3502 |
10.8 | 5.33675 | 1.01803 | 5.24219 | ♦ | 40.8 | 1.53041 | 1.321 | 1.15851 | ♦ | 70.8 | 1.0589 | 3.04072 | 0.34824 |
10.9 | 5.28821 | 1.01837 | 5.19292 | ♦ | 40.9 | 1.52732 | 1.32301 | 1.15443 | ♦ | 70.9 | 1.05826 | 3.05605 | 0.34628 |
11 | 5.24082 | 1.01871 | 5.14456 | ♦ | 41 | 1.52425 | 1.32501 | 1.15036 | ♦ | 71 | 1.05762 | 3.07154 | 0.34433 |
11.1 | 5.19427 | 1.01907 | 5.0971 | ♦ | 41.1 | 1.52119 | 1.32703 | 1.14632 | ♦ | 71.1 | 1.05698 | 3.08718 | 0.34238 |
11.2 | 5.14854 | 1.01941 | 5.05025 | ♦ | 41.2 | 1.51816 | 1.32906 | 1.1423 | ♦ | 71.2 | 1.05636 | 3.10299 | 0.34043 |
11.3 | 5.10334 | 1.01977 | 5.0045 | ♦ | 41.3 | 1.51515 | 1.3311 | 1.13828 | ♦ | 71.3 | 1.05573 | 3.11905 | 0.33848 |
11.4 | 5.05919 | 1.02013 | 4.95933 | ♦ | 41.4 | 1.51215 | 1.33314 | 1.13428 | ♦ | 71.4 | 1.05511 | 3.13519 | 0.33654 |
11.5 | 5.0158 | 1.02049 | 4.91521 | ♦ | 41.5 | 1.50916 | 1.33518 | 1.13029 | ♦ | 71.5 | 1.0545 | 3.15159 | 0.3346 |
11.6 | 4.97315 | 1.02085 | 4.87163 | ♦ | 41.6 | 1.50618 | 1.33726 | 1.12633 | ♦ | 71.6 | 1.05387 | 3.16807 | 0.33266 |
11.7 | 4.93121 | 1.02122 | 4.82882 | ♦ | 41.7 | 1.50324 | 1.33933 | 1.12237 | ♦ | 71.7 | 1.05326 | 3.18481 | 0.33072 |
11.8 | 4.88998 | 1.02159 | 4.78675 | ♦ | 41.8 | 1.50031 | 1.34142 | 1.11844 | ♦ | 71.8 | 1.05266 | 3.20174 | 0.32878 |
11.9 | 4.84966 | 1.02196 | 4.74541 | ♦ | 41.9 | 1.49739 | 1.34353 | 1.11452 | ♦ | 71.9 | 1.05206 | 3.21875 | 0.32685 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
12 | 4.80977 | 1.02234 | 4.70455 | ♦ | 42 | 1.49448 | 1.34564 | 1.11062 | ♦ | 72 | 1.05146 | 3.23604 | 0.32492 |
12.1 | 4.77054 | 1.02272 | 4.66461 | ♦ | 42.1 | 1.49158 | 1.34775 | 1.10672 | ♦ | 72.1 | 1.05087 | 3.25351 | 0.32299 |
12.2 | 4.73216 | 1.0231 | 4.62513 | ♦ | 42.2 | 1.48872 | 1.34989 | 1.10285 | ♦ | 72.2 | 1.05028 | 3.27118 | 0.32106 |
12.3 | 4.69417 | 1.02349 | 4.58631 | ♦ | 42.3 | 1.48586 | 1.35203 | 1.09899 | ♦ | 72.3 | 1.04969 | 3.28915 | 0.31914 |
12.4 | 4.65679 | 1.02389 | 4.54835 | ♦ | 42.4 | 1.48302 | 1.35417 | 1.09513 | ♦ | 72.4 | 1.04911 | 3.30721 | 0.31722 |
12.5 | 4.62022 | 1.02428 | 4.5108 | ♦ | 42.5 | 1.48019 | 1.35634 | 1.09131 | ♦ | 72.5 | 1.04853 | 3.32546 | 0.3153 |
12.6 | 4.58421 | 1.02467 | 4.47367 | ♦ | 42.6 | 1.47737 | 1.35851 | 1.08749 | ♦ | 72.6 | 1.04795 | 3.34403 | 0.31338 |
12.7 | 4.54856 | 1.02508 | 4.43734 | ♦ | 42.7 | 1.47458 | 1.36071 | 1.08369 | ♦ | 72.7 | 1.04738 | 3.36281 | 0.31147 |
12.8 | 4.51365 | 1.02548 | 4.4016 | ♦ | 42.8 | 1.4718 | 1.3629 | 1.0799 | ♦ | 72.8 | 1.04681 | 3.38169 | 0.30955 |
12.9 | 4.47928 | 1.02589 | 4.36624 | ♦ | 42.9 | 1.46903 | 1.36511 | 1.07613 | ♦ | 72.9 | 1.04625 | 3.4009 | 0.30764 |
13 | 4.44543 | 1.0263 | 4.33144 | ♦ | 43 | 1.46628 | 1.36733 | 1.07236 | ♦ | 73 | 1.0457 | 3.42032 | 0.30573 |
13.1 | 4.41209 | 1.02672 | 4.29719 | ♦ | 43.1 | 1.46355 | 1.36956 | 1.06863 | ♦ | 73.1 | 1.04514 | 3.43997 | 0.30382 |
13.2 | 4.37924 | 1.02714 | 4.26348 | ♦ | 43.2 | 1.46081 | 1.3718 | 1.06489 | ♦ | 73.2 | 1.04458 | 3.45985 | 0.30192 |
13.3 | 4.34688 | 1.02756 | 4.2303 | ♦ | 43.3 | 1.45811 | 1.37406 | 1.06118 | ♦ | 73.3 | 1.04404 | 3.47996 | 0.30001 |
13.4 | 4.31499 | 1.02798 | 4.19762 | ♦ | 43.4 | 1.45541 | 1.37633 | 1.05747 | ♦ | 73.4 | 1.04349 | 3.5003 | 0.29811 |
13.5 | 4.28357 | 1.02842 | 4.16528 | ♦ | 43.5 | 1.45275 | 1.37861 | 1.05379 | ♦ | 73.5 | 1.04295 | 3.52088 | 0.29621 |
13.6 | 4.25279 | 1.02885 | 4.13343 | ♦ | 43.6 | 1.45007 | 1.38089 | 1.0501 | ♦ | 73.6 | 1.04242 | 3.54183 | 0.29432 |
13.7 | 4.22226 | 1.02928 | 4.10223 | ♦ | 43.7 | 1.44743 | 1.38318 | 1.04644 | ♦ | 73.7 | 1.04187 | 3.5629 | 0.29242 |
13.8 | 4.19234 | 1.02973 | 4.07133 | ♦ | 43.8 | 1.44479 | 1.3855 | 1.04279 | ♦ | 73.8 | 1.04135 | 3.58436 | 0.29053 |
13.9 | 4.16268 | 1.03016 | 4.04089 | ♦ | 43.9 | 1.44217 | 1.38783 | 1.03916 | ♦ | 73.9 | 1.04082 | 3.60607 | 0.28864 |
14 | 4.1336 | 1.03061 | 4.01075 | ♦ | 44 | 1.43955 | 1.39016 | 1.03553 | ♦ | 74 | 1.0403 | 3.62792 | 0.28675 |
14.1 | 4.10475 | 1.03107 | 3.98121 | ♦ | 44.1 | 1.43697 | 1.39251 | 1.03192 | ♦ | 74.1 | 1.03978 | 3.65017 | 0.28486 |
14.2 | 4.07647 | 1.03151 | 3.95194 | ♦ | 44.2 | 1.43437 | 1.39488 | 1.02832 | ♦ | 74.2 | 1.03926 | 3.67269 | 0.28297 |
14.3 | 4.04858 | 1.03197 | 3.92311 | ♦ | 44.3 | 1.4318 | 1.39725 | 1.02474 | ♦ | 74.3 | 1.03876 | 3.69549 | 0.28109 |
14.4 | 4.02107 | 1.03244 | 3.89469 | ♦ | 44.4 | 1.42927 | 1.39964 | 1.02117 | ♦ | 74.4 | 1.03825 | 3.71858 | 0.2792 |
14.5 | 3.99393 | 1.0329 | 3.86668 | ♦ | 44.5 | 1.42672 | 1.40203 | 1.0176 | ♦ | 74.5 | 1.03774 | 3.74195 | 0.27732 |
14.6 | 3.96715 | 1.03337 | 3.83907 | ♦ | 44.6 | 1.4242 | 1.40444 | 1.01407 | ♦ | 74.6 | 1.03724 | 3.76563 | 0.27545 |
14.7 | 3.94073 | 1.03384 | 3.8117 | ♦ | 44.7 | 1.42169 | 1.40687 | 1.01053 | ♦ | 74.7 | 1.03674 | 3.78974 | 0.27357 |
14.8 | 3.91466 | 1.03432 | 3.78487 | ♦ | 44.8 | 1.41918 | 1.4093 | 1.00701 | ♦ | 74.8 | 1.03625 | 3.81403 | 0.27169 |
14.9 | 3.88908 | 1.03479 | 3.75827 | ♦ | 44.9 | 1.41669 | 1.41175 | 1.00349 | ♦ | 74.9 | 1.03576 | 3.83877 | 0.26982 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
15 | 3.86369 | 1.03527 | 3.73204 | ♦ | 45 | 1.41421 | 1.41421 | 1 | ♦ | 75 | 1.03527 | 3.86369 | 0.26795 |
15.1 | 3.83877 | 1.03576 | 3.70617 | ♦ | 45.1 | 1.41175 | 1.41669 | 0.99651 | ♦ | 75.1 | 1.03479 | 3.88908 | 0.26608 |
15.2 | 3.81403 | 1.03625 | 3.68067 | ♦ | 45.2 | 1.4093 | 1.41918 | 0.99304 | ♦ | 75.2 | 1.03432 | 3.91466 | 0.26421 |
15.3 | 3.78974 | 1.03674 | 3.65537 | ♦ | 45.3 | 1.40687 | 1.42169 | 0.98958 | ♦ | 75.3 | 1.03384 | 3.94073 | 0.26235 |
15.4 | 3.76563 | 1.03724 | 3.63042 | ♦ | 45.4 | 1.40444 | 1.4242 | 0.98613 | ♦ | 75.4 | 1.03337 | 3.96715 | 0.26048 |
15.5 | 3.74195 | 1.03774 | 3.60594 | ♦ | 45.5 | 1.40203 | 1.42672 | 0.98269 | ♦ | 75.5 | 1.0329 | 3.99393 | 0.25862 |
15.6 | 3.71858 | 1.03825 | 3.58153 | ♦ | 45.6 | 1.39964 | 1.42927 | 0.97927 | ♦ | 75.6 | 1.03244 | 4.02107 | 0.25676 |
15.7 | 3.69549 | 1.03876 | 3.55758 | ♦ | 45.7 | 1.39725 | 1.4318 | 0.97586 | ♦ | 75.7 | 1.03197 | 4.04858 | 0.2549 |
15.8 | 3.67269 | 1.03926 | 3.53394 | ♦ | 45.8 | 1.39488 | 1.43437 | 0.97246 | ♦ | 75.8 | 1.03151 | 4.07647 | 0.25304 |
15.9 | 3.65017 | 1.03978 | 3.5105 | ♦ | 45.9 | 1.39251 | 1.43697 | 0.96907 | ♦ | 75.9 | 1.03107 | 4.10475 | 0.25118 |
16 | 3.62792 | 1.0403 | 3.48736 | ♦ | 46 | 1.39016 | 1.43955 | 0.96569 | ♦ | 76 | 1.03061 | 4.1336 | 0.24933 |
16.1 | 3.60607 | 1.04082 | 3.46452 | ♦ | 46.1 | 1.38783 | 1.44217 | 0.96232 | ♦ | 76.1 | 1.03016 | 4.16268 | 0.24748 |
16.2 | 3.58436 | 1.04135 | 3.44199 | ♦ | 46.2 | 1.3855 | 1.44479 | 0.95897 | ♦ | 76.2 | 1.02973 | 4.19234 | 0.24562 |
16.3 | 3.5629 | 1.04187 | 3.41974 | ♦ | 46.3 | 1.38318 | 1.44743 | 0.95562 | ♦ | 76.3 | 1.02928 | 4.22226 | 0.24377 |
16.4 | 3.54183 | 1.04242 | 3.39766 | ♦ | 46.4 | 1.38089 | 1.45007 | 0.95229 | ♦ | 76.4 | 1.02885 | 4.25279 | 0.24193 |
16.5 | 3.52088 | 1.04295 | 3.37598 | ♦ | 46.5 | 1.37861 | 1.45275 | 0.94896 | ♦ | 76.5 | 1.02842 | 4.28357 | 0.24008 |
16.6 | 3.5003 | 1.04349 | 3.35447 | ♦ | 46.6 | 1.37633 | 1.45541 | 0.94565 | ♦ | 76.6 | 1.02798 | 4.31499 | 0.23823 |
16.7 | 3.47996 | 1.04404 | 3.33322 | ♦ | 46.7 | 1.37406 | 1.45811 | 0.94236 | ♦ | 76.7 | 1.02756 | 4.34688 | 0.23639 |
16.8 | 3.45985 | 1.04458 | 3.31214 | ♦ | 46.8 | 1.3718 | 1.46081 | 0.93906 | ♦ | 76.8 | 1.02714 | 4.37924 | 0.23455 |
16.9 | 3.43997 | 1.04514 | 3.29142 | ♦ | 46.9 | 1.36956 | 1.46355 | 0.93579 | ♦ | 76.9 | 1.02672 | 4.41209 | 0.23271 |
17 | 3.42032 | 1.0457 | 3.27086 | ♦ | 47 | 1.36733 | 1.46628 | 0.93251 | ♦ | 77 | 1.0263 | 4.44543 | 0.23087 |
17.1 | 3.4009 | 1.04625 | 3.25055 | ♦ | 47.1 | 1.36511 | 1.46903 | 0.92926 | ♦ | 77.1 | 1.02589 | 4.47928 | 0.22903 |
17.2 | 3.38169 | 1.04681 | 3.2305 | ♦ | 47.2 | 1.3629 | 1.4718 | 0.92601 | ♦ | 77.2 | 1.02548 | 4.51365 | 0.22719 |
17.3 | 3.36281 | 1.04738 | 3.21058 | ♦ | 47.3 | 1.36071 | 1.47458 | 0.92277 | ♦ | 77.3 | 1.02508 | 4.54856 | 0.22536 |
17.4 | 3.34403 | 1.04795 | 3.19101 | ♦ | 47.4 | 1.35851 | 1.47737 | 0.91955 | ♦ | 77.4 | 1.02467 | 4.58421 | 0.22353 |
17.5 | 3.32546 | 1.04853 | 3.17158 | ♦ | 47.5 | 1.35634 | 1.48019 | 0.91633 | ♦ | 77.5 | 1.02428 | 4.62022 | 0.22169 |
17.6 | 3.30721 | 1.04911 | 3.15239 | ♦ | 47.6 | 1.35417 | 1.48302 | 0.91313 | ♦ | 77.6 | 1.02389 | 4.65679 | 0.21986 |
17.7 | 3.28915 | 1.04969 | 3.13342 | ♦ | 47.7 | 1.35203 | 1.48586 | 0.90993 | ♦ | 77.7 | 1.02349 | 4.69417 | 0.21804 |
17.8 | 3.27118 | 1.05028 | 3.11468 | ♦ | 47.8 | 1.34989 | 1.48872 | 0.90674 | ♦ | 77.8 | 1.0231 | 4.73216 | 0.21621 |
17.9 | 3.25351 | 1.05087 | 3.09607 | ♦ | 47.9 | 1.34775 | 1.49158 | 0.90357 | ♦ | 77.9 | 1.02272 | 4.77054 | 0.21438 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
18 | 3.23604 | 1.05146 | 3.07768 | ♦ | 48 | 1.34564 | 1.49448 | 0.90041 | ♦ | 78 | 1.02234 | 4.80977 | 0.21256 |
18.1 | 3.21875 | 1.05206 | 3.05951 | ♦ | 48.1 | 1.34353 | 1.49739 | 0.89725 | ♦ | 78.1 | 1.02196 | 4.84966 | 0.21073 |
18.2 | 3.20174 | 1.05266 | 3.04155 | ♦ | 48.2 | 1.34142 | 1.50031 | 0.8941 | ♦ | 78.2 | 1.02159 | 4.88998 | 0.20891 |
18.3 | 3.18481 | 1.05326 | 3.02371 | ♦ | 48.3 | 1.33933 | 1.50324 | 0.89096 | ♦ | 78.3 | 1.02122 | 4.93121 | 0.20709 |
18.4 | 3.16807 | 1.05387 | 3.00607 | ♦ | 48.4 | 1.33726 | 1.50618 | 0.88784 | ♦ | 78.4 | 1.02085 | 4.97315 | 0.20527 |
18.5 | 3.15159 | 1.0545 | 2.98864 | ♦ | 48.5 | 1.33518 | 1.50916 | 0.88473 | ♦ | 78.5 | 1.02049 | 5.0158 | 0.20345 |
18.6 | 3.13519 | 1.05511 | 2.97141 | ♦ | 48.6 | 1.33314 | 1.51215 | 0.88162 | ♦ | 78.6 | 1.02013 | 5.05919 | 0.20164 |
18.7 | 3.11905 | 1.05573 | 2.95438 | ♦ | 48.7 | 1.3311 | 1.51515 | 0.87852 | ♦ | 78.7 | 1.01977 | 5.10334 | 0.19982 |
18.8 | 3.10299 | 1.05636 | 2.93746 | ♦ | 48.8 | 1.32906 | 1.51816 | 0.87543 | ♦ | 78.8 | 1.01941 | 5.14854 | 0.19801 |
18.9 | 3.08718 | 1.05698 | 2.92073 | ♦ | 48.9 | 1.32703 | 1.52119 | 0.87236 | ♦ | 78.9 | 1.01907 | 5.19427 | 0.19619 |
19 | 3.07154 | 1.05762 | 2.90419 | ♦ | 49 | 1.32501 | 1.52425 | 0.86929 | ♦ | 79 | 1.01871 | 5.24082 | 0.19438 |
19.1 | 3.05605 | 1.05826 | 2.88784 | ♦ | 49.1 | 1.32301 | 1.52732 | 0.86623 | ♦ | 79.1 | 1.01837 | 5.28821 | 0.19257 |
19.2 | 3.04072 | 1.0589 | 2.87158 | ♦ | 49.2 | 1.321 | 1.53041 | 0.86318 | ♦ | 79.2 | 1.01803 | 5.33675 | 0.19076 |
19.3 | 3.02563 | 1.05955 | 2.85551 | ♦ | 49.3 | 1.31903 | 1.53351 | 0.86013 | ♦ | 79.3 | 1.0177 | 5.3859 | 0.18895 |
19.4 | 3.0106 | 1.0602 | 2.83962 | ♦ | 49.4 | 1.31705 | 1.53664 | 0.8571 | ♦ | 79.4 | 1.01736 | 5.43626 | 0.18715 |
19.5 | 2.99572 | 1.06085 | 2.8239 | ♦ | 49.5 | 1.31508 | 1.53976 | 0.85408 | ♦ | 79.5 | 1.01704 | 5.48727 | 0.18534 |
19.6 | 2.98107 | 1.0615 | 2.80836 | ♦ | 49.6 | 1.31313 | 1.54292 | 0.85106 | ♦ | 79.6 | 1.0167 | 5.53955 | 0.18353 |
19.7 | 2.96648 | 1.06217 | 2.79291 | ♦ | 49.7 | 1.31118 | 1.5461 | 0.84806 | ♦ | 79.7 | 1.01637 | 5.59284 | 0.18173 |
19.8 | 2.95212 | 1.06283 | 2.77762 | ♦ | 49.8 | 1.30924 | 1.54928 | 0.84507 | ♦ | 79.8 | 1.01605 | 5.64717 | 0.17993 |
19.9 | 2.93789 | 1.0635 | 2.76251 | ♦ | 49.9 | 1.30733 | 1.55251 | 0.84208 | ♦ | 79.9 | 1.01574 | 5.70223 | 0.17813 |
20 | 2.92381 | 1.06418 | 2.74748 | ♦ | 50 | 1.30541 | 1.55572 | 0.8391 | ♦ | 80 | 1.01542 | 5.75871 | 0.17633 |
20.1 | 2.90985 | 1.06486 | 2.73261 | ♦ | 50.1 | 1.30349 | 1.55897 | 0.83613 | ♦ | 80.1 | 1.01512 | 5.81632 | 0.17453 |
20.2 | 2.89603 | 1.06554 | 2.71791 | ♦ | 50.2 | 1.30161 | 1.56223 | 0.83317 | ♦ | 80.2 | 1.01481 | 5.8751 | 0.17273 |
20.3 | 2.88234 | 1.06622 | 2.70336 | ♦ | 50.3 | 1.29971 | 1.56551 | 0.83021 | ♦ | 80.3 | 1.01451 | 5.93507 | 0.17093 |
20.4 | 2.86886 | 1.06692 | 2.68889 | ♦ | 50.4 | 1.29784 | 1.56882 | 0.82727 | ♦ | 80.4 | 1.0142 | 5.99628 | 0.16914 |
20.5 | 2.85543 | 1.06761 | 2.67465 | ♦ | 50.5 | 1.29597 | 1.57213 | 0.82433 | ♦ | 80.5 | 1.0139 | 6.05877 | 0.16734 |
20.6 | 2.8422 | 1.06831 | 2.66042 | ♦ | 50.6 | 1.29411 | 1.57547 | 0.82141 | ♦ | 80.6 | 1.01361 | 6.12257 | 0.16555 |
20.7 | 2.82909 | 1.06902 | 2.64641 | ♦ | 50.7 | 1.29226 | 1.57883 | 0.81849 | ♦ | 80.7 | 1.01331 | 6.18812 | 0.16376 |
20.8 | 2.81603 | 1.06971 | 2.63255 | ♦ | 50.8 | 1.29042 | 1.5822 | 0.81558 | ♦ | 80.8 | 1.01303 | 6.25469 | 0.16196 |
20.9 | 2.80316 | 1.07043 | 2.61876 | ♦ | 50.9 | 1.28858 | 1.58559 | 0.81268 | ♦ | 80.9 | 1.01275 | 6.32271 | 0.16017 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
21 | 2.79041 | 1.07115 | 2.60512 | ♦ | 51 | 1.28675 | 1.58902 | 0.80978 | ♦ | 81 | 1.01246 | 6.39264 | 0.15838 |
21.1 | 2.77778 | 1.07187 | 2.59155 | ♦ | 51.1 | 1.28495 | 1.59246 | 0.8069 | ♦ | 81.1 | 1.01219 | 6.46371 | 0.1566 |
21.2 | 2.76533 | 1.07259 | 2.57818 | ♦ | 51.2 | 1.28314 | 1.59591 | 0.80402 | ♦ | 81.2 | 1.01191 | 6.53637 | 0.15481 |
21.3 | 2.75292 | 1.07332 | 2.56489 | ♦ | 51.3 | 1.28134 | 1.59939 | 0.80115 | ♦ | 81.3 | 1.01164 | 6.61113 | 0.15302 |
21.4 | 2.74063 | 1.07404 | 2.55167 | ♦ | 51.4 | 1.27956 | 1.60287 | 0.79829 | ♦ | 81.4 | 1.01137 | 6.68717 | 0.15124 |
21.5 | 2.72851 | 1.07478 | 2.53865 | ♦ | 51.5 | 1.27778 | 1.6064 | 0.79544 | ♦ | 81.5 | 1.0111 | 6.76544 | 0.14945 |
21.6 | 2.71651 | 1.07552 | 2.5257 | ♦ | 51.6 | 1.27601 | 1.60992 | 0.79259 | ♦ | 81.6 | 1.01085 | 6.84556 | 0.14767 |
21.7 | 2.70453 | 1.07628 | 2.51288 | ♦ | 51.7 | 1.27424 | 1.61348 | 0.78975 | ♦ | 81.7 | 1.01058 | 6.92713 | 0.14588 |
21.8 | 2.69273 | 1.07702 | 2.50019 | ♦ | 51.8 | 1.27249 | 1.61705 | 0.78692 | ♦ | 81.8 | 1.01033 | 7.01115 | 0.1441 |
21.9 | 2.68104 | 1.07777 | 2.48756 | ♦ | 51.9 | 1.27074 | 1.62064 | 0.7841 | ♦ | 81.9 | 1.01008 | 7.09723 | 0.14232 |
22 | 2.66944 | 1.07854 | 2.47506 | ♦ | 52 | 1.26902 | 1.62427 | 0.78129 | ♦ | 82 | 1.00983 | 7.18546 | 0.14054 |
22.1 | 2.65802 | 1.0793 | 2.46269 | ♦ | 52.1 | 1.2673 | 1.6279 | 0.77848 | ♦ | 82.1 | 1.00958 | 7.2759 | 0.13876 |
22.2 | 2.64662 | 1.08007 | 2.45044 | ♦ | 52.2 | 1.26557 | 1.63156 | 0.77568 | ♦ | 82.2 | 1.00934 | 7.36811 | 0.13698 |
22.3 | 2.63532 | 1.08084 | 2.43825 | ♦ | 52.3 | 1.26387 | 1.63524 | 0.77289 | ♦ | 82.3 | 1.0091 | 7.46324 | 0.13521 |
22.4 | 2.62419 | 1.08161 | 2.42618 | ♦ | 52.4 | 1.26216 | 1.63894 | 0.7701 | ♦ | 82.4 | 1.00886 | 7.56086 | 0.13343 |
22.5 | 2.61315 | 1.08239 | 2.41423 | ♦ | 52.5 | 1.26048 | 1.64268 | 0.76732 | ♦ | 82.5 | 1.00863 | 7.66107 | 0.13165 |
22.6 | 2.60213 | 1.08318 | 2.40234 | ♦ | 52.6 | 1.2588 | 1.64642 | 0.76456 | ♦ | 82.6 | 1.0084 | 7.76398 | 0.12988 |
22.7 | 2.59128 | 1.08396 | 2.39057 | ♦ | 52.7 | 1.25712 | 1.65019 | 0.76179 | ♦ | 82.7 | 1.00818 | 7.8703 | 0.1281 |
22.8 | 2.58051 | 1.08476 | 2.37891 | ♦ | 52.8 | 1.25545 | 1.65399 | 0.75904 | ♦ | 82.8 | 1.00795 | 7.97894 | 0.12633 |
22.9 | 2.5699 | 1.08555 | 2.36731 | ♦ | 52.9 | 1.25379 | 1.6578 | 0.75629 | ♦ | 82.9 | 1.00773 | 8.09061 | 0.12456 |
23 | 2.55931 | 1.08637 | 2.35588 | ♦ | 53 | 1.25213 | 1.66163 | 0.75356 | ♦ | 83 | 1.00751 | 8.20546 | 0.12278 |
23.1 | 2.54881 | 1.08717 | 2.34445 | ♦ | 53.1 | 1.2505 | 1.6655 | 0.75082 | ♦ | 83.1 | 1.00729 | 8.32362 | 0.12101 |
23.2 | 2.53846 | 1.08797 | 2.33318 | ♦ | 53.2 | 1.24886 | 1.66939 | 0.74809 | ♦ | 83.2 | 1.00708 | 8.44595 | 0.11924 |
23.3 | 2.52813 | 1.08879 | 2.32196 | ♦ | 53.3 | 1.24722 | 1.67328 | 0.74538 | ♦ | 83.3 | 1.00688 | 8.57118 | 0.11747 |
23.4 | 2.51794 | 1.08962 | 2.31086 | ♦ | 53.4 | 1.24561 | 1.67723 | 0.74267 | ♦ | 83.4 | 1.00667 | 8.70019 | 0.1157 |
23.5 | 2.50784 | 1.09044 | 2.29986 | ♦ | 53.5 | 1.244 | 1.68118 | 0.73996 | ♦ | 83.5 | 1.00647 | 8.83392 | 0.11394 |
23.6 | 2.49781 | 1.09127 | 2.28891 | ♦ | 53.6 | 1.24241 | 1.68515 | 0.73726 | ♦ | 83.6 | 1.00627 | 8.97102 | 0.11217 |
23.7 | 2.48787 | 1.09211 | 2.27806 | ♦ | 53.7 | 1.2408 | 1.68916 | 0.73457 | ♦ | 83.7 | 1.00608 | 9.11328 | 0.1104 |
23.8 | 2.47801 | 1.09294 | 2.26732 | ♦ | 53.8 | 1.23922 | 1.69316 | 0.73189 | ♦ | 83.8 | 1.00588 | 9.25926 | 0.10863 |
23.9 | 2.46828 | 1.09379 | 2.25662 | ♦ | 53.9 | 1.23764 | 1.69722 | 0.72921 | ♦ | 83.9 | 1.00569 | 9.41088 | 0.10687 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
24 | 2.45857 | 1.09463 | 2.24603 | ♦ | 54 | 1.23606 | 1.70129 | 0.72654 | ♦ | 84 | 1.00551 | 9.56663 | 0.1051 |
24.1 | 2.449 | 1.09549 | 2.23554 | ♦ | 54.1 | 1.23451 | 1.70541 | 0.72388 | ♦ | 84.1 | 1.00533 | 9.72857 | 0.10334 |
24.2 | 2.4395 | 1.09635 | 2.22509 | ♦ | 54.2 | 1.23295 | 1.70952 | 0.72122 | ♦ | 84.2 | 1.00515 | 9.89511 | 0.10158 |
24.3 | 2.43007 | 1.09721 | 2.21474 | ♦ | 54.3 | 1.23141 | 1.71368 | 0.71857 | ♦ | 84.3 | 1.00496 | 10.0685 | 0.09981 |
24.4 | 2.42072 | 1.09808 | 2.20449 | ♦ | 54.4 | 1.22986 | 1.71786 | 0.71593 | ♦ | 84.4 | 1.00479 | 10.248 | 0.09805 |
24.5 | 2.41144 | 1.09895 | 2.19428 | ♦ | 54.5 | 1.22832 | 1.72206 | 0.71329 | ♦ | 84.5 | 1.00462 | 10.433 | 0.09629 |
24.6 | 2.40223 | 1.09982 | 2.18417 | ♦ | 54.6 | 1.2268 | 1.72628 | 0.71066 | ♦ | 84.6 | 1.00446 | 10.6259 | 0.09453 |
24.7 | 2.39309 | 1.1007 | 2.17415 | ♦ | 54.7 | 1.22528 | 1.73052 | 0.70804 | ♦ | 84.7 | 1.0043 | 10.826 | 0.09277 |
24.8 | 2.38407 | 1.10159 | 2.16422 | ♦ | 54.8 | 1.22378 | 1.73482 | 0.70542 | ♦ | 84.8 | 1.00414 | 11.0339 | 0.09101 |
24.9 | 2.37507 | 1.10249 | 2.15434 | ♦ | 54.9 | 1.22227 | 1.7391 | 0.70281 | ♦ | 84.9 | 1.00398 | 11.2499 | 0.08925 |
25 | 2.36619 | 1.10338 | 2.1445 | ♦ | 55 | 1.22078 | 1.74344 | 0.70021 | ♦ | 85 | 1.00382 | 11.4732 | 0.08749 |
25.1 | 2.35738 | 1.10428 | 2.13479 | ♦ | 55.1 | 1.21929 | 1.74779 | 0.69761 | ♦ | 85.1 | 1.00366 | 11.7069 | 0.08573 |
25.2 | 2.34863 | 1.10518 | 2.12513 | ♦ | 55.2 | 1.2178 | 1.7522 | 0.69502 | ♦ | 85.2 | 1.00352 | 11.9503 | 0.08397 |
25.3 | 2.33995 | 1.1061 | 2.11551 | ♦ | 55.3 | 1.21634 | 1.7566 | 0.69243 | ♦ | 85.3 | 1.00337 | 12.2041 | 0.08221 |
25.4 | 2.33133 | 1.107 | 2.10602 | ♦ | 55.4 | 1.21486 | 1.76106 | 0.68985 | ♦ | 85.4 | 1.00323 | 12.4688 | 0.08046 |
25.5 | 2.32283 | 1.10792 | 2.09652 | ♦ | 55.5 | 1.2134 | 1.76551 | 0.68728 | ♦ | 85.5 | 1.00309 | 12.7453 | 0.0787 |
25.6 | 2.31433 | 1.10886 | 2.08716 | ♦ | 55.6 | 1.21196 | 1.77001 | 0.68472 | ♦ | 85.6 | 1.00296 | 13.0344 | 0.07695 |
25.7 | 2.30595 | 1.10978 | 2.07784 | ♦ | 55.7 | 1.21051 | 1.77453 | 0.68215 | ♦ | 85.7 | 1.00282 | 13.3369 | 0.07519 |
25.8 | 2.29764 | 1.11072 | 2.06859 | ♦ | 55.8 | 1.20907 | 1.77911 | 0.6796 | ♦ | 85.8 | 1.0027 | 13.6537 | 0.07344 |
25.9 | 2.28938 | 1.11165 | 2.05944 | ♦ | 55.9 | 1.20764 | 1.78368 | 0.67705 | ♦ | 85.9 | 1.00257 | 13.986 | 0.07168 |
26 | 2.28118 | 1.11261 | 2.05031 | ♦ | 56 | 1.20621 | 1.7883 | 0.67451 | ♦ | 86 | 1.00245 | 14.3349 | 0.06993 |
26.1 | 2.27304 | 1.11355 | 2.04127 | ♦ | 56.1 | 1.2048 | 1.79292 | 0.67197 | ♦ | 86.1 | 1.00233 | 14.7016 | 0.06817 |
26.2 | 2.26495 | 1.1145 | 2.03227 | ♦ | 56.2 | 1.2034 | 1.79759 | 0.66944 | ♦ | 86.2 | 1.0022 | 15.0898 | 0.06642 |
26.3 | 2.25698 | 1.11546 | 2.02335 | ♦ | 56.3 | 1.202 | 1.80232 | 0.66692 | ♦ | 86.3 | 1.00208 | 15.4967 | 0.06467 |
26.4 | 2.24901 | 1.11643 | 2.0145 | ♦ | 56.4 | 1.2006 | 1.80704 | 0.6644 | ♦ | 86.4 | 1.00197 | 15.9261 | 0.06291 |
26.5 | 2.24115 | 1.11741 | 2.0057 | ♦ | 56.5 | 1.1992 | 1.81179 | 0.66188 | ♦ | 86.5 | 1.00187 | 16.38 | 0.06116 |
26.6 | 2.23334 | 1.11838 | 1.99696 | ♦ | 56.6 | 1.19782 | 1.8166 | 0.65938 | ♦ | 86.6 | 1.00176 | 16.8606 | 0.05941 |
26.7 | 2.22559 | 1.11936 | 1.98827 | ♦ | 56.7 | 1.19644 | 1.82143 | 0.65688 | ♦ | 86.7 | 1.00166 | 17.3732 | 0.05766 |
26.8 | 2.21789 | 1.12034 | 1.97965 | ♦ | 56.8 | 1.19509 | 1.82628 | 0.65438 | ♦ | 86.8 | 1.00156 | 17.9147 | 0.05591 |
26.9 | 2.21029 | 1.12133 | 1.9711 | ♦ | 56.9 | 1.19372 | 1.83117 | 0.65189 | ♦ | 86.9 | 1.00146 | 18.4911 | 0.05416 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |
27 | 2.20269 | 1.12232 | 1.96259 | ♦ | 57 | 1.19236 | 1.83608 | 0.64941 | ♦ | 87 | 1.00137 | 19.1058 | 0.05241 |
27.1 | 2.1952 | 1.12333 | 1.95416 | ♦ | 57.1 | 1.19101 | 1.84104 | 0.64693 | ♦ | 87.1 | 1.00128 | 19.7668 | 0.05066 |
27.2 | 2.18771 | 1.12433 | 1.94579 | ♦ | 57.2 | 1.18967 | 1.84601 | 0.64445 | ♦ | 87.2 | 1.00119 | 20.4708 | 0.04891 |
27.3 | 2.18031 | 1.12534 | 1.93746 | ♦ | 57.3 | 1.18834 | 1.85103 | 0.64199 | ♦ | 87.3 | 1.00111 | 21.2269 | 0.04716 |
27.4 | 2.17297 | 1.12635 | 1.9292 | ♦ | 57.4 | 1.18701 | 1.85608 | 0.63953 | ♦ | 87.4 | 1.00103 | 22.0459 | 0.04541 |
27.5 | 2.16567 | 1.12738 | 1.92097 | ♦ | 57.5 | 1.18569 | 1.86116 | 0.63707 | ♦ | 87.5 | 1.00095 | 22.9253 | 0.04366 |
27.6 | 2.15843 | 1.12841 | 1.91281 | ♦ | 57.6 | 1.18437 | 1.86626 | 0.63462 | ♦ | 87.6 | 1.00088 | 23.8777 | 0.04191 |
27.7 | 2.15128 | 1.12945 | 1.90473 | ♦ | 57.7 | 1.18307 | 1.87143 | 0.63218 | ♦ | 87.7 | 1.00081 | 24.919 | 0.04016 |
27.8 | 2.14413 | 1.13048 | 1.89667 | ♦ | 57.8 | 1.18177 | 1.8766 | 0.62973 | ♦ | 87.8 | 1.00074 | 26.0485 | 0.03842 |
27.9 | 2.13707 | 1.13152 | 1.88868 | ♦ | 57.9 | 1.18047 | 1.88182 | 0.6273 | ♦ | 87.9 | 1.00067 | 27.2926 | 0.03667 |
28 | 2.13006 | 1.13257 | 1.88072 | ♦ | 58 | 1.17918 | 1.88708 | 0.62487 | ♦ | 88 | 1.00061 | 28.6533 | 0.03492 |
28.1 | 2.1231 | 1.13362 | 1.87283 | ♦ | 58.1 | 1.1779 | 1.89236 | 0.62244 | ♦ | 88.1 | 1.00055 | 30.1568 | 0.03317 |
28.2 | 2.11618 | 1.13469 | 1.86498 | ♦ | 58.2 | 1.17662 | 1.89768 | 0.62003 | ♦ | 88.2 | 1.00049 | 31.837 | 0.03143 |
28.3 | 2.1093 | 1.13574 | 1.85722 | ♦ | 58.3 | 1.17535 | 1.90306 | 0.61761 | ♦ | 88.3 | 1.00044 | 33.7041 | 0.02968 |
28.4 | 2.10252 | 1.13682 | 1.84945 | ♦ | 58.4 | 1.17408 | 1.90843 | 0.6152 | ♦ | 88.4 | 1.00039 | 35.8166 | 0.02793 |
28.5 | 2.09573 | 1.13789 | 1.84176 | ♦ | 58.5 | 1.17283 | 1.91388 | 0.6128 | ♦ | 88.5 | 1.00034 | 38.1971 | 0.02619 |
28.6 | 2.08903 | 1.13898 | 1.83412 | ♦ | 58.6 | 1.17158 | 1.91935 | 0.6104 | ♦ | 88.6 | 1.0003 | 40.9333 | 0.02444 |
28.7 | 2.08238 | 1.14006 | 1.82655 | ♦ | 58.7 | 1.17033 | 1.92485 | 0.60801 | ♦ | 88.7 | 1.00026 | 44.0723 | 0.02269 |
28.8 | 2.07577 | 1.14115 | 1.81901 | ♦ | 58.8 | 1.1691 | 1.93039 | 0.60562 | ♦ | 88.8 | 1.00022 | 47.7555 | 0.02095 |
28.9 | 2.06919 | 1.14226 | 1.8115 | ♦ | 58.9 | 1.16786 | 1.936 | 0.60324 | ♦ | 88.9 | 1.00018 | 52.0833 | 0.0192 |
29 | 2.06266 | 1.14335 | 1.80404 | ♦ | 59 | 1.16663 | 1.9416 | 0.60086 | ♦ | 89 | 1.00015 | 57.3066 | 0.01746 |
29.1 | 2.05617 | 1.14447 | 1.79665 | ♦ | 59.1 | 1.16542 | 1.94727 | 0.59849 | ♦ | 89.1 | 1.00012 | 63.6537 | 0.01571 |
29.2 | 2.04977 | 1.14558 | 1.78929 | ♦ | 59.2 | 1.1642 | 1.95297 | 0.59612 | ♦ | 89.2 | 1.0001 | 71.6332 | 0.01396 |
29.3 | 2.0434 | 1.1467 | 1.78199 | ♦ | 59.3 | 1.16299 | 1.95871 | 0.59376 | ♦ | 89.3 | 1.00007 | 81.8331 | 0.01222 |
29.4 | 2.03707 | 1.14783 | 1.77472 | ♦ | 59.4 | 1.16179 | 1.96448 | 0.5914 | ♦ | 89.4 | 1.00005 | 95.511 | 0.01047 |
29.5 | 2.03079 | 1.14895 | 1.7675 | ♦ | 59.5 | 1.16059 | 1.97029 | 0.58905 | ♦ | 89.5 | 1.00004 | 114.548 | 0.00873 |
29.6 | 2.02454 | 1.1501 | 1.76032 | ♦ | 59.6 | 1.15941 | 1.97617 | 0.5867 | ♦ | 89.6 | 1.00002 | 143.266 | 0.00698 |
29.7 | 2.01833 | 1.15124 | 1.75319 | ♦ | 59.7 | 1.15821 | 1.98204 | 0.58435 | ♦ | 89.7 | 1.00001 | 190.84 | 0.00524 |
29.8 | 2.01219 | 1.15238 | 1.74608 | ♦ | 59.8 | 1.15705 | 1.98799 | 0.58201 | ♦ | 89.8 | 1.00001 | 286.533 | 0.00349 |
29.9 | 2.00606 | 1.15354 | 1.73904 | ♦ | 59.9 | 1.15587 | 1.99398 | 0.57968 | ♦ | 89.9 | 1 | 571.429 | 0.00175 |
30 | 2 | 1.15469 | 1.73205 | ♦ | 60 | 1.15469 | 2 | 0.57735 | ♦ | 90 | 1 | ∞ | 0 |
DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT | ♦ | DEG | CSC | SEC | COT |