Find the exact solution of the equation.
-$$\sin ^ { - 1 } x = \frac { \pi } { 6 }$$
A) $x = - \frac { 1 } { 2 }$
B) $x = \frac { 1 } { 2 }$
C) $x = 0$
D) $x = 1$

Question

Quizplus · Accepted Answer

The equation $\sin^{-1}x = \frac{\pi}{6}$ means we are looking for a value of $x$ such that $\sin(x) = \sin(\frac{\pi}{6})$. Since $\sin(\frac{\pi}{6}) = \frac{1}{2}$, the correct answer is $x = \frac{1}{2}$.

Find the Exact Solution of the Equation sin⁡−1x=π6\sin ^ { - 1 } x = \frac { \pi } { 6 }sin−1x=6π​

Find the Exact Solution of the Equation $\sin ^ { - 1 } x = \frac { \pi } { 6 }$