# Hyperbolic Function

Hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather tan the circle. $cosh_{2}x−sinh_{2}x=1$

We have the basic hyperbolic functions: $coshx=2e_{x}+e_{−x} $ $sinhx=2e_{x}−e_{−x} $ $tanhx=e_{x}+e_{−x}e_{x}−e_{−x} $