$$\text { Find all values of } \theta \text {, if } \theta \text { is in the interval } \left[ 0,360 ^ { \circ } \right) \text { and has the given function value. }$$
-$\sin \theta = \frac { \sqrt { 3 } } { 2 }$
A) $60 ^ { \circ }$ and $120 ^ { \circ }$
B) $210 ^ { \circ }$ and $330 ^ { \circ }$
C) $60 ^ { \circ }$ and $300 ^ { \circ }$
D) $150 ^ { \circ }$ and $210 ^ { \circ }$

Question

Quizplus · Accepted Answer

The sine function equals $\frac{\sqrt{3}}{2}$ at angles of $60^\circ$ and $120^\circ$ within the given interval $[0,360^\circ)$, corresponding to the first and second quadrants where sine values are positive.

- sin⁡θ=32\sin \theta = \frac { \sqrt { 3 } } { 2 }sinθ=23​​

- $\sin \theta = \frac { \sqrt { 3 } } { 2 }$