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2012 AIME I Problems/Problem 6

Revision as of 16:39, 16 March 2012 by Epicfailiure (talk | contribs) (Created page with "Let <math>z</math> and <math>w</math> be complex numbers such that <math>z^{13} = w</math> and <math>w^{11} = z</math>. If the imaginary part of <math>z</math> can be written as ...")
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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 $n$.

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