# How do you calculate arcsin(-1/2)?

$\frac{7 \pi}{6} \mathmr{and} \frac{11 \pi}{6}$
$\sin x = \left(- \frac{1}{2}\right)$ --> arc $x = - \frac{\pi}{6}$ and $x = \left(\pi + \frac{\pi}{6}\right) = \frac{7 \pi}{6}$.
Answers: $\frac{7 \pi}{6} \mathmr{and} \frac{11 \pi}{6}$ (co-terminal to $\left(- \frac{\pi}{6}\right)$