Difference between revisions of "2012 AIME I Problems/Problem 6"

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Revision as of 17:39, 16 March 2012

Let $z$ and $w$ be complex numbers such that $z^{13} = w$ and $w^{11} = z$. If the imaginary part of $z$ can be written as $\sin {\frac{m\pi}{n}}$, where $m$ and $n$ are relatively prime positive integers, find $n$.