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

Question

Quizplus · Accepted Answer

The angle $\frac{4\pi}{3}$ is in the third quadrant where sine is negative. The reference angle for $\frac{4\pi}{3}$ is $\frac{\pi}{3}$, for which $\sin(\frac{\pi}{3}) = \frac{\sqrt{3}}{2}$. Therefore, $\sin(\frac{4\pi}{3}) = -\frac{\sqrt{3}}{2}$.

Find the Exact Circular Function Value sin⁡4π3\sin \frac { 4 \pi } { 3 }sin34π​

Find the Exact Circular Function Value $\sin \frac { 4 \pi } { 3 }$