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

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Answer 1 · 2016-04-14T05:41:25

Odd

Change x to $-x$ in f(x).

If $f(-x)=-f(x)$ , the function is odd.
If $f(-x)=f(x)$ , the function is even.

$sin(-x)=-sin x, cos(-x)=cos x and tan(-x)=-tan x. Also, (-1)^2=1$

Here, $f(-x)=-f(x)$ . So, the given function is odd. .

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