(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the function f(z) whose real part is

[tex]\frac{sin(x)}{cosh(2y)-cos(2x)}[/tex]

where z = x + iy

2. Relevant equations

I already know f(z)=cot(z), using FullSimplify[] in mathematica on the expression I get for u + iv when I apply the Cauchy-Reimann equations.

More explicitly,

f(x,y) = u(x,y)+iv(x,y) = [tex]\frac{-sin(2x)+isinh(2y)}{cos(2x)-cosh(2y)}[/tex]

3. The attempt at a solution

I've tried to derive without mathematica that this is cot(z) about a thousand different ways. I can't seem to manipulate the expression into a usable form. Am I missing something obvious?

Help!!!

Thanks!!

-Nathan

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# Homework Help: Showing a complicated mess is equal to cot(z)

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