By E.A. Brandes and G.B. Brook (Eds.)

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4! e* = l + x + — + — + — + . . 2! 3! 4! (χ l o g ea ) a* = l + x l o g e α + 2 (χ l o g e α ) + 3 +. TRIGONOMETRIC SERIES sin x = x cos χ = 1 J χ" H 3! h 2! x χ 5! 7! 4! 6! 3 h. h... 5 7 9 χ 2χ 17χ 62χ tan χ = χ + — + — + + +. 3 15 315 2835 3 5 7 1 χ 1 3 χ 1 3 5 χ χ = χ + - · — + - • - · — + - · - · - · — + ... 2 3 2 4 5 2 4 6 7 (-1<χ<1) π χ=—sin 2 tan" 1 χ =χ + 3 5 7 + ... ( — 1 < χ < 1) π 1 1 1 χ= 1,-=1—+ + .. 4 3 5 7 π 1 χ=—tan 2 cot 1 χ SERIES FOR HYPERBOLIC FUNCTIONS sinh χ = x H 3! 2 1-—I 5!

3 2 1 4 0 9 9 x l 0 " 15 1 . 31441 n 6 . 668 58x 10 m s" Pa kg u* 1 m o l "1 JK m 1 J T C m m m m 3 kgm"3 kgm"3 kgm"3 kgm" C kg J 1 JT" 1 Cmol" * u = unified atomic mass unit (amu) based o n u = KP Κη δ' D0 <5 m(H 20) e me Ep F OL *o G To 1 "»„ h m P Snhc c2 = hc/k a c Vo of the mass of l C 2 2 — 1 J K "2 m o2l " Nm kg" Κ3 m3 m kg Js kg Jm mK1 m" 2 W m "1 K " * m 3s " 1 m mol" mK 1 m Wb" 1 3-3 General physical and chemical constants REFERENCES 'Quantities, Units and Symbols', The Royal Society, 1981.

Apart from this they are considered reliable to ± 1 in the last digit, or ± 3 if that digit is subscript. 2 G E N E R A L P H Y S I C A L C O N S T A N T S The probable errors of the various quantities may be obtained from the reference given at the end of the table. 426 308 9 x 1 0 "15 2 . 8 1 7 9 3 8 0 x l 0 " 15 1 . 3 2 1 4 0 9 9 x l 0 " 15 1 . 31441 n 6 . 668 58x 10 m s" Pa kg u* 1 m o l "1 JK m 1 J T C m m m m 3 kgm"3 kgm"3 kgm"3 kgm" C kg J 1 JT" 1 Cmol" * u = unified atomic mass unit (amu) based o n u = KP Κη δ' D0 <5 m(H 20) e me Ep F OL *o G To 1 "»„ h m P Snhc c2 = hc/k a c Vo of the mass of l C 2 2 — 1 J K "2 m o2l " Nm kg" Κ3 m3 m kg Js kg Jm mK1 m" 2 W m "1 K " * m 3s " 1 m mol" mK 1 m Wb" 1 3-3 General physical and chemical constants REFERENCES 'Quantities, Units and Symbols', The Royal Society, 1981.