Give the degree measure of θ.
-$$\theta = \sin ^ { - 1 } \left( \frac { \sqrt { 2 } } { 2 } \right)$$
A) $135 ^ { \circ }$
B) $120 ^ { \circ }$
C) $45 ^ { \circ }$
D) $60 ^ { \circ }$

Question

Quizplus · Accepted Answer

The value of $\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)$ corresponds to the angle whose sine is $\frac{\sqrt{2}}{2}$. This is known to be $45^\circ$ or $\frac{\pi}{4}$ radians in standard trigonometry.

Give the Degree Measure of θ θ=sin⁡−1(22)\theta = \sin ^ { - 1 } \left( \frac { \sqrt { 2 } } { 2 } \right)θ=sin−1(22​​)

Give the Degree Measure of θ $\theta = \sin ^ { - 1 } \left( \frac { \sqrt { 2 } } { 2 } \right)$