9.1 Exercise 16

We know $g \left(x\right) = \cos x$ 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?