Find the exact value of the expression.
-$\csc 240 ^ { \circ }$
A) $\frac { 2 \sqrt { 3 } } { 3 }$
B) $- 2$
C) 2
D) $- \frac { 2 \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

The cosecant function is the reciprocal of the sine function. To find $\csc 240^\circ$, we first find $\sin 240^\circ$. Since $240^\circ$ is in the third quadrant, where sine is negative, and it corresponds to a reference angle of $60^\circ$, $\sin 240^\circ = -\frac{\sqrt{3}}{2}$. Therefore, $\csc 240^\circ = \frac{1}{\sin 240^\circ} = -\frac{2\sqrt{3}}{3}$.

Find the Exact Value of the Expression csc⁡240∘\csc 240 ^ { \circ }csc240∘

Find the Exact Value of the Expression $\csc 240 ^ { \circ }$