How do you determine if $sin^2(x)$ is an even or odd function?

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Answer 1 · 2017-01-11T10:27:18

$sin^2(x)$ is an even function.

A function $f(x)$ is even if $f(-x)=f(x)$ and function is odd if $f(-x)=-x$ .

As $f(x)=sin^2(x)$

$f(-x)=sin^2(-x)$

= $(sin(-x))^2$

= $(-sin(x))^2$

= $sin^2(x)$

Hence $sin^2(x)$ is an even function.

How do you determine if sin^2(x) sin^2(x) is an even or odd function?