Fractals/trigonometric

      How to compute it

       \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)

      This image shows the Julia set of acomplex function of the form f(z)=a*sin(z), where a is a suitably chosen number in the interval (0,1).

      See also

      Last modified on 17 January 2013, at 21:04