TRIGONOMETRY gg 



Kennelly: Tables of Complex Hyperbolic and Circular Functions. 

 Cambridge, Harvard University Press, 1914. 



The complex argument, x + iq = pe i8 . In the tables this is denoted p/5. 



p = Vx 2 + q 2 , tan d = q/x. 



Tables I, II, III give the hyperbolic sine, cosine and tangent of (pZo) 

 expressed as r Z 7 : 



d = 45 to d = 90 interval i 



p = o.oi to p = 3.0 interval o.i. 



_ T _ ITT- sinh d tanh A , * 



Tables IV and V give ^ , 3 expressed as r Z 7, 6 = p Z o, 



p = o.i to p = 3.0 interval o.i, 

 6 = 45 to 5 = 90 interval i. 



Table VI gives sinh (p/45), cosh (pZ 4 5), tanh (pZ 4 5), coth (pZ 45 ), 

 sech (pZ45), csch (p/45) expressed as rZ 7: 



p = o to p = 6.0 interval o.i, 

 p = 6.05 to p = 20.50 interval 0.05. 



Tables VII, VIII and IX give sinh (x + iq), cosh (x + iq), tanh (x + iq), 

 expressed as u + iv: 



x = o to x = 3.95 interval 0.05, 



q = o to q = 2.0 interval 0.05. 



Tables X, XI, XII give sinh (x + iq), cosh (x + iq), tanh (x + iq) expressed 

 as r Z 7 : 



x = o to x = 3.95 interval 0.05, 



q = o to q = 2.0 interval 0.05. 



Table XIII gives sinh (4 + iq), cosh (4 + iq), tanh (4 + iq) expressed both 



as u + iv and r /. y : 



q = o to q = 2.0 interval 0.05. 



Table XIV gives j'and Iog 10 ~ 



x = 4.00 to x = 10.00 interval o.oi. 



Table XV gives the real hyperbolic functions: sinh 6, cosh 6, tanh 6, coth 6, 



sech d, csch 6. 



6 = to 6 = 2. 5 interval o.oi, 



6 = 2.5 to 6 = 7.5 interval o.i. 



