Use the even-odd properties to find the exact value of the expression. Do not use a calculator.
-$\tan \left( - 30 ^ { \circ } \right)$
A) $\frac { \sqrt { 3 } } { 3 }$
B) $\sqrt { 3 }$
C) $- \sqrt { 3 }$
D) $- \frac { \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

The tangent function is odd, meaning $\tan(-\theta) = -\tan(\theta)$. Since $\tan(30^\circ) = \frac{\sqrt{3}}{3}$, it follows that $\tan(-30^\circ) = -\frac{\sqrt{3}}{3}$.

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