# Question #2c359

Jun 6, 2017

$\sin \left(- x\right)$ is an odd function

#### Explanation:

A function is even iff $f \left(- x\right) = f \left(x\right)$

$\sin 45 \ne \sin \left(- 45\right)$ so $\sin \left(- x\right)$ is not even

A function is odd iff $f \left(- x\right) = - f \left(x\right)$

$\sin 45 = - \sin \left(- 45\right)$ therefore $\sin \left(- x\right)$ is odd