## Problem of the Day #87: Sinusoidal Thoughts
*June 14, 2011*

*Posted by Sreenath in : potd , trackback*

The expression $(\sin{x}+\cos{x})^n$ can be written as $k(n)\cdot\sin^n\left(f(x)\right)$, where $k(n)$ is a function of $n$ and $f(x)$ is a polynomial in $x$. Compute $k(10)$.

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