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Hyperbolic trig functions

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



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


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


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

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