## Problem of the Day #87: Sinusoidal ThoughtsJune 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 $k(10)$.