# Math Help - Finding the Period of Trig Functions?

1. ## Finding the Period of Trig Functions?

Hi y'all, I have a question about finding the period of trig functions. How do i find the period for trig functions such as cos^2(x), cos^3(x), and so forth?

If anyone could explain this to me it would be much appreciated!

Maybe it helps already to spell out a general rule: for $n\in\mathbb{Z}\backslash\{0\}$, the period of $\cos^n(x)$ depends only on whether $n$ is even or odd. If $n$ is even, we have period $\pi$, if it is odd, we have period $2\pi$.
3. Do you see why? $sin(\pi- x)= -sin(x)$ and $cos(\pi- x)= -cos(x)$ if you are taking an even power, then the "-" does not matter. If you are taking an odd power, then it does. Of course, sine and cosine themselves have period $2\pi$.