Use the even-odd properties to find the exact value of the expression. Do not use a calculator.
-$$\csc \left( - \frac { \pi } { 3 } \right)$$

A) $- 2$
B) $- 2$.
C) $- \frac { 2 \sqrt { 3 } } { 3 }$
D) $- \frac { 2 \sqrt { 3 } } { 3 }$.

Question

Use the even-odd properties to find the exact value of the expression. Do not use a calculator.
-$$\csc \left( - \frac { \pi } { 3 } \right)$$

A) $- 2$
B) $- 2$.
C) $- \frac { 2 \sqrt { 3 } } { 3 }$
D) $- \frac { 2 \sqrt { 3 } } { 3 }$.

Quizplus · Accepted Answer

The cosecant function is odd, so $\csc (-x) = -\csc x$. Therefore, $\csc \left( - \frac { \pi } { 3 } \right) = -\csc \frac { \pi } { 3 } = -\frac { 2 \sqrt { 3 } } { 3 }$.

Use the Even-Odd Properties to Find the Exact Value of the Expression