# Fractals/trigonometric

$\sin(Z)$ $\mathrm{Real} = \sin(x) ((\exp(y) + \exp(-y))/2)$  $\mathrm{Imag} = \cos(x) ((\exp(y) - \exp(-y))/2)$

$\cos(Z)$ $\mathrm{Real} = \cos(x) ((\exp(y) + \exp(-y))/2)$  $\mathrm{Imag} = -\sin(x) ((\exp(y) - \exp(-y))/2)$

$\sinh(Z)$ $\mathrm{Real} = \cos(y) ((\exp(x) - \exp(-x))/2)$  $\mathrm{Imag} = \sin(y) ((\exp(x) + \exp(-x))/2)$

$\cosh(Z)$ $\mathrm{Real} = \cos(y) ((\exp(x) + \exp(-x))/2)$  $\mathrm{Imag} = \sin(y) ((\exp(x) - \exp(-x))/2)$