### Computing hyperbolic functions

 $$sinh\,0.75\approx 0.82232$$ Set hairline to 0.75 on $$G_\theta$$, read 0.822 on T. $$tanh\,0.75\approx 0.63515$$ Set hairline to 0.75 on $$G_\theta$$, read 0.635 on T. $$cosh\,0.75\approx 1.29468$$ Set hairline to 0.75 on $$G_\theta$$, set left index of D under hairline, read $$sech\,0.75=0.772$$ opposite right index of P, set hairline to 0.772 on CI, read 1.295 on C. or Set hairline to 0.75 on $$G_\theta$$, read $$sinh\,0.75=0.822$$ on T, Move 0.822 on Q, read 1.2945 on Q′. $$cosh\,1.75\approx 2.96419$$ Set hairline to 0.75 on $$G_\theta$$, set right index of D under hairline, read $$sech\,1.75=0.337$$ opposite left index of P, set hairline to 0.337 on CI, read 2.97 on C. Since $$sinh\,1.75\gt 1$$, the second method cannot be used.

Because the results of the trig and hyperbolic functions do not occur on the logarithmic (C/D) scales, it is not convenient to compute hyperbolic functions of complex values using this rule; to do so requires multiplying trig functions with hyperbolic functions.

[Back]