Find all solutions to the equation.
-$\sin x = \frac { \sqrt { 3 } } { 2 } \quad$ (Express your answer in radians, in exact form.)
A) $\left\{ \frac { \pi } { 3 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 3 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}$
B) $\left\{ \frac { \pi } { 3 } + n \pi \quad \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}$
C) $\left\{ \frac { \pi } { 6 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 6 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}$
D) $\left\{ \frac { \pi } { 3 } + 2 \mathrm { n } \pi , \frac { 2 \pi } { 3 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}$

Question

Quizplus · Accepted Answer

The solutions to $\sin x = \frac{\sqrt{3}}{2}$ are $x = \frac{\pi}{3} + 2n\pi$ and $x = \frac{2\pi}{3} + 2n\pi$, where $n$ is an integer.

Find All Solutions to the Equation sin⁡x=32\sin x = \frac { \sqrt { 3 } } { 2 } \quadsinx=23​​

Find All Solutions to the Equation $\sin x = \frac { \sqrt { 3 } } { 2 } \quad$