## Trigonometry (11th Edition) Clone

$-\displaystyle \frac{\pi}{3}$
Inverse Sine Function $y=\sin^{-1}x$ or $y=$ arcsin $x$ means that $x=\sin y$, for $-\displaystyle \frac{\pi}{2} \leq y \leq \frac{\pi}{2}$. --------- In the interval $-\displaystyle \frac{\pi}{2} \leq y \leq \frac{\pi}{2}$ we find $y=-\displaystyle \frac{\pi}{3}$ such that $\displaystyle \sin(-\frac{\pi}{3}) =-\displaystyle \frac{\sqrt{3}}{2}$ so $y=$ arcsin$(-\displaystyle \frac{\sqrt{3}}{2})=-\frac{\pi}{3}$