Hello All, I am hoping you can help me how to solve the following equations for z $\displaystyle \epsilon$ $\displaystyle C$

cos$\displaystyle \pi$$\displaystyle z$ = 0

and 1 + $\displaystyle e^{2z}$ = 0

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- Nov 11th 2012, 04:00 PMflametag3Help solving complex variable equations
Hello All, I am hoping you can help me how to solve the following equations for z $\displaystyle \epsilon$ $\displaystyle C$

cos$\displaystyle \pi$$\displaystyle z$ = 0

and 1 + $\displaystyle e^{2z}$ = 0 - Nov 12th 2012, 12:11 AMchiroRe: Help solving complex variable equations
Hey flametag3:

Hint: 2nd one involves taking the complex logarithm after re-arrangement and the 1st one requires understanding when cos(z) = 0 for complex numbers z using the definition.