Find the exact value without using a calculator.
-$$\sin \frac { 5 \pi } { 3 }$$
A) $\frac { \sqrt { 3 } } { 2 }$
B) $- 1$
C) $- \frac { 1 } { 2 }$
D) $- \frac { \sqrt { 3 } } { 2 }$

Question

Quizplus · Accepted Answer

The angle $\frac{5\pi}{3}$ radians is equivalent to 300 degrees, which is in the fourth quadrant where sine is negative. The reference angle for $\frac{5\pi}{3}$ is $\frac{\pi}{3}$, for which $\sin(\frac{\pi}{3}) = \frac{\sqrt{3}}{2}$. Therefore, $\sin(\frac{5\pi}{3}) = -\frac{\sqrt{3}}{2}$.

Find the Exact Value Without Using a Calculator sin⁡5π3\sin \frac { 5 \pi } { 3 }sin35π​

Find the Exact Value Without Using a Calculator $\sin \frac { 5 \pi } { 3 }$