Find the exact value of the given expression. sin $\left(\sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right)\right)$
A) $-\frac{\sqrt{3}}{2}$
B) $-\frac{1}{2}$
C) 1
D) 0

Question

Quizplus · Accepted Answer

The expression $\sin(\sin^{-1}(-\frac{\sqrt{3}}{2}))$ simplifies directly to $-\frac{\sqrt{3}}{2}$ because the sine and inverse sine functions are inverse operations, effectively canceling each other out.

Find the Exact Value of the Given Expression (sin⁡−1(−32))\left(\sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right)\right)(sin−1(−23​​)) A) −32-\frac{\sqrt{3}}{2}−23​​

Find the Exact Value of the Given Expression $\left(\sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right)\right)$ A) $-\frac{\sqrt{3}}{2}$