If $\sin \theta = \frac { \sqrt { 2 } } { 2 }$ , find the value of $\theta$ in degrees $\left( 0 ^ { \circ }

Question

If $\sin \theta = \frac { \sqrt { 2 } } { 2 }$ , find the value of $\theta$ in degrees $\left( 0 ^ { \circ } < \theta < 90 ^ { \circ } \right)$ without the aid of a calculator.
A)$\theta$ = 30°
B)$\theta$ = 45°
C)$\theta$ = 90°
D)$\theta$ = 75°
E)$\theta$ = 15°

Quizplus · Accepted Answer

The value of $\sin \theta = \frac{\sqrt{2}}{2}$ corresponds to an angle of 45° in the first quadrant, where both sine and cosine values are positive and equal for this specific angle.

If sin⁡θ=22\sin \theta = \frac { \sqrt { 2 } } { 2 }sinθ=22​​

If $\sin \theta = \frac { \sqrt { 2 } } { 2 }$