How do you determine if 2sin(x)cos(x)tan^2(x)2sin(x)cos(x)tan2(x) is an even or odd function?

1 Answer
Apr 14, 2016

Odd

Explanation:

Change x to -xx in f(x).

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

sin(-x)=-sin x, cos(-x)=cos x and tan(-x)=-tan x. Also, (-1)^2=1sin(x)=sinx,cos(x)=cosxandtan(x)=tanx.Also,(1)2=1

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