Find the exact value of the expression.
-$$\sin ^ { - 1 } \frac { \sqrt { 2 } } { 2 }$$
A) $\frac { 3 \pi } { 4 }$
B) $\frac { 2 \pi } { 3 }$
C) $\frac { \pi } { 4 }$
D) $\frac { \pi } { 3 }$

Question

Quizplus · Accepted Answer

The value of $\sin^{-1}\frac{\sqrt{2}}{2}$ corresponds to the angle whose sine is $\frac{\sqrt{2}}{2}$. This is known to be $\frac{\pi}{4}$ or 45 degrees in the first quadrant where sine values are positive.

Find the Exact Value of the Expression sin⁡−122\sin ^ { - 1 } \frac { \sqrt { 2 } } { 2 }sin−122​​

Find the Exact Value of the Expression $\sin ^ { - 1 } \frac { \sqrt { 2 } } { 2 }$