Question

Is f(x) = sin^2(x) an even, odd, or neither function. Why? I got even due to symmetry, but I am not sure.

Answer 1

sin(x) sin(x)
change it to negative
sin(-x) sin(-x)= -sin(x) - sin(x)= sin^2(x)
even

Answer 2

f is even if f(-x)=f(x)
f is odd if f(-x)=-f(x)