## Question

###### For $phi in(0, pi)$ and $n in mathbb{N}$, show that$$frac{1}{2 pi i} int_{|z|=2} frac{z^{n}}{1-2 z cos phi+z^{2}} d z=frac{sin n phi}{sin phi} .$$

For $phi in(0, pi)$ and $n in mathbb{N}$, show that $$ frac{1}{2 pi i} int_{|z|=2} frac{z^{n}}{1-2 z cos phi+z^{2}} d z=frac{sin n phi}{sin phi} . $$

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