Question

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

Answer 1

`f(x)=sin(2x)` is an odd function.

Explanation:

A function `f(x)` is even if `f(-x)=f(x)` and it is odd if `f(-x)=-f(x)`

Here `f(x)=sin(2x)`

and `f(-x)=sin(2xx(-x))-sin(-2x)=-sin(2x)=-f(x)`

Hence, `f(x)=sin(2x)` is an odd function.