Predefined Functions – cosh

Function name: cosh – Cosinus hyperbolicus
Synopsis: cosh(x)


Input data type Output data type
real real
complex complex
quaternion unsupported

Description:

ChaosPro automatically detects the input data type.

In order to calculate cosh(x) (x = any real number) ChaosPro performs the following calculation:

  cosh (x) = 0.5 * ( exp(x) + exp(-x) )    

In order to calculate cosh(z) (z = any complex number) ChaosPro performs the following calculation:

  cosh(z)=cosh(x)*cos(y)+i*sinh(x)*sin(y)  

where sinh(x) (x = any real number) is defined as:

  sinh(x) = 0.5 * ( exp(x) - exp(-x) )  

cosh