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

1 Answer
Trevor Ryan.
Oct 31, 2015

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.

Related questions
See all questions in Symmetry
Impact of this question
37488 views around the world
You can reuse this answer
Creative Commons License