Determine the exact value of $\arcsin ( - 0.5 )$
A) $\frac { \pi } { 6 }$
B) 0
C) $- \frac { \pi } { 6 }$
D) $\frac { \pi } { 3 }$
E) $- \frac { \pi } { 3 }$

Question

Quizplus · Accepted Answer

Recall that $\arcsin x$ is the measure of the angle between $-\frac{\pi}{2}$ and $\frac{\pi}{2}$ whose sine is $x$. Since $\sin \frac{-\pi}{6}=-\frac{1}{2}$, we have $\arcsin (-0.5) = \boxed{-\frac{\pi}{6}}$.

Determine the Exact Value Of arcsin⁡(−0.5)\arcsin ( - 0.5 )arcsin(−0.5) A) π6\frac { \pi } { 6 }6π​

Determine the Exact Value Of $\arcsin ( - 0.5 )$ A) $\frac { \pi } { 6 }$