Let X∼Uniform(0,2π)X \sim \text{Uniform}(0, 2\pi)X∼Uniform(0,2π). Find the expected value of cos2(X)\cos^2(X)cos2(X).
12\frac{1}{2}21
1π\frac{1}{\pi}π1
111
π2\frac{\pi}{2}2π