Hyperbolic trig functions

Revision as of 23:33, 22 May 2013 by Willalphagamma (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

The Hyperbolic trig functions can be thought of the classical trig functions except found on an unit hyperbola. There are as follows:

$\sinh(x)=\frac{e^x+e^{-x}}{2}$

$\cosh(x)=\frac{e^x-e^{-x}}{2}$

$\tanh(x)= \frac{\sinh{x}}{\cosh{x}} =\frac{e^x+e^{-x}}{e^x-e^{-x}}$

Also:

$\sinh(x)= -i\sin{ix}$


$\cosh(x)=\cos{iz}$


$\tanh(x)= -1\tan{iz}$

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS