## Trigonometry (11th Edition) Clone

$-\frac{\sqrt 2}{2}$
Given: $-4arcsinx=\pi$ $arcsinx=-\frac{\pi}{4}$ (Divide by -4) Apply definition of arcsine. $x=sin(-\frac{\pi}{4})$ $x=-\frac{1}{\sqrt 2}$ Rationalize the denominator. $x=-\frac{1}{\sqrt 2}\times=-\frac{\sqrt 2}{2}$