- #1
nathan12343
- 27
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Homework Statement
Find the function f(z) whose real part is
[tex]\frac{sin(x)}{cosh(2y)-cos(2x)}[/tex]
where z = x + iy
Homework 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]
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