Use reference angles to find the exact value of the expression. Do not use a calculator.
-$\cot \frac { - 5 \pi } { 6 }$
A) $\sqrt { 3 }$
B) $- \sqrt { 3 }$
C) $\frac { \sqrt { 3 } } { 3 }$
D) $- \frac { \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

The reference angle for $\frac{-5\pi}{6}$ is $\frac{\pi}{6}$, and the cotangent of $\frac{\pi}{6}$ is $\sqrt{3}$. Since the original angle is in the third quadrant where cotangent is positive, the answer is $\sqrt{3}$.

Use Reference Angles to Find the Exact Value of the Expression