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

Question

Quizplus · Accepted Answer

The tangent function is odd, meaning $\tan(-x) = -\tan(x)$. Therefore, $\tan\left(-\frac{\pi}{3}\right) = -\tan\left(\frac{\pi}{3}\right)$, and since $\tan\left(\frac{\pi}{3}\right) = \sqrt{3}$, the answer is $-\sqrt{3}$.

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