This is quantum Chemistry on symmentry $.$ Show that the functions below are even, odd, or neither.

a$.f()=cos()*sin()$

b$.f(x)=A{e}^{-x}$

c$.f(x)=\frac{sin(x)}{\sqrt[\phantom{2}]{1-si{n}^2(x)}}$

d$.f(x)=x^n,$ where $n$ is an odd integer.

e$.f(x)=x+x^2$