# How do you evaluate arcsin 0?

$\arcsin \left(0\right) = 0 + k \pi$ for all $k \epsilon \mathbb{Z}$
$\arcsin \left(x\right) =$ all values of $\theta$ for which $\sin \left(\theta\right) = x$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$from basic definition of arcsin
$\sin \left(\theta\right) = 0$ when
$\textcolor{w h i t e}{\text{XXXX}}$$\theta = 0$ and for all "half-circle" ($\pi$) rotations from angle $0$