Find the exact value of the function. Rationalize the denominator if necessary.
-csc 240°
A) $\frac { 2 \sqrt { 3 } } { 3 }$
B) $- \frac { 2 \sqrt { 3 } } { 3 }$
C) 2
D) $- 2$

Question

Find the exact value of the function. Rationalize the denominator if necessary.
-csc 240° 
A) $\frac { 2 \sqrt { 3 } } { 3 }$
B) $- \frac { 2 \sqrt { 3 } } { 3 }$
C) 2
D) $- 2$

Quizplus · Accepted Answer

The cosecant function is defined as $csc(\theta) = \frac{1}{sin(\theta)}$. For $240°$, $sin(240°) = -\frac{\sqrt{3}}{2}$. Therefore, $csc(240°) = \frac{1}{-\frac{\sqrt{3}}{2}} = -\frac{2\sqrt{3}}{3}$.

Find the Exact Value of the Function 233\frac { 2 \sqrt { 3 } } { 3 }323​​

Find the Exact Value of the Function $\frac { 2 \sqrt { 3 } } { 3 }$