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

1 Answer
Jul 24, 2016

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.