New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: 66 ELEMENTARY TRANSCENDENTAL FUNCTIONS Table 4.9. Circular Tangents, Cotangents, Secants and Cosecants for Page Radian Arguments (0 I z 5 1.6) . . . . . . . . . . . . . . . . . . 186 z=0(.01)1.6, tan 2, cot 2, sec z, csc 2, 7 to 9D z-l- cot 5 , csc x - x - ~ , ~=0(.01).5, 8D Table 4.10. Circular Sines and Cosines to Tenths of a Degree (Oo 5e<9Oo) . 189 sin 8, cos 8, e=Oo(.lo)900, 15D Table 4.11. Circular Tangents, Cotangents, Secants and Cosecants to Five Tenths of a Degree (Oo581900) . . . . . . . . . . . . . . 198 tan 8, cot 8, 19=0~(.5~)90~, 15D sec e, csc 6, e=0°(.50)900, 8D Table 4.12. Circular Functions for the Argument 9 z sin -2, cos -z, tan -2, cot -z, sec -z, csc -2, 2 2 2 2 2 2 ( 0 5 2 5 1) . . . . 200 2 z=O(.O1)1, 20D n n n n n n Table 4.13. Harmonic Analysis. . . . . . . . . . . . . . . . . . . 202 2nr 270- sin -> cos ---# r=l(l)[s/2], s even r=l(l)[(s-l)/2], s odd s=3(1)25, 10D S S Table 4.14. Inverse Circular Sines and Tangents ( 0 5 ~ 1 1 ) . . . . . . . 203 arcsin z, arctan z, z=O(.OO1)1, 12D f(x) = [2(1 -z)]-)[~n-arcsin z], z= .95(.001)1, 12D Table 4.15. Hyperbolic Functions (0 5 z 510) . . . . . . . . . . . . 21 3 sinh z, cosh 2, 2=0(.01)2, 9D, z=2(.1)10, 9D tanh z, coth z, z=0(.01)2, 8D, 7D, z=2(.1)10, 10D Table 4.16. Exponential and Hyperbolic Functions for the Argument a x ( 0 5 x 5 1 ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1 9 e*==, sinh nz, cosh m, tanh nz, z=O(.Ol)l, 10D Table 4.17. Inverse Hyperbolic Functions (0 5 z 503 ) . . . . . . . . . 221 arcsinh z, arctanh z, z=O(.O1)1, 9D arcsinh z, (arccosh z)/(z2- l)), z= 1 (.01)2, 9D, 8D arcsinh 2-In z, arccosh z-In z, z-'=.5(-.01)0, 10D Table 4.18. Roots z, of cos z, cosh zn= f 1, n=1(1)5, 7D . . . . . . 223 Table4.19. Rootsz,of tanz,=kr, ( - 0 3 5 x 1 0 , 1 1 X 5 ~ ) . . . . . 224 --X=0(.05)1, n=1(1)9, 5D A-1=- 1 (.05)1, n= 1 (1)9, 5D Table 4.20. Roots z, of cot zn=kr, (O