Chapter 9.1, Problem 1SE

We know $g\left(x\right)=\cos \left(x\right)$ is an even function, and $f\left(x\right)=\sin x$ and $h\left(x\right)=\tan x$ are odd functions. What about $G\left(x\right)={\cos }^{2}x$ , $F\left(x\right)={\sin }^{2}x$ , and $H\left(x\right)={\tan }^{2}x$ ? Are they even, odd, or neither? Why?