How do you determine if 2sinxcosx is an even or odd function?

1 Answer
Oct 16, 2016

You have to use the definitions of even and odd functions

Explanation:

A function f is even if it satisfies f(x)=f(x). For example cos(x)=cosx, so cosx is even

A function f is odd if it satisfies f(x)=f(x). For example sin(x)=sinx, so sinx is odd

Lets see the given function f(x)=2sinxcosx, and evaluate f(x)

f(x)=2sin(x)cos(x)=2(sinx)cos(x), using the equalities above.

Then, f(x)=2sinxcosx=f(x), and so the function given is odd