Is the function #f(x) = sin x# even, odd or neither?

1 Answer
Oct 31, 2015

Answer:

Odd

Explanation:

By definition, a function f is even if #f(-x)=f(x)#.
A function f is odd if #f(-x)=-f(x)#

Since #sin(-x)=-sinx#, it implies that sinx is an odd function.

That is why for example a half range Fourier sine series is said to be odd as well since it is an infinite sum of odd functions.