Find the exact circular function value.
-$\cot \frac { - 11 \pi } { 6 }$
A) $- \frac { \sqrt { 3 } } { 3 }$
B) $\sqrt { 3 }$
C) $\frac { \sqrt { 3 } } { 3 }$
D) $- \sqrt { 3 }$

Question

Quizplus · Accepted Answer

The cotangent function is periodic with a period of $\pi$, so $\cot \frac{-11\pi}{6} = \cot (\frac{-11\pi}{6} + 2\pi) = \cot \frac{\pi}{6}$. The cotangent of $\frac{\pi}{6}$ is $\sqrt{3}$.

Find the Exact Circular Function Value cot⁡−11π6\cot \frac { - 11 \pi } { 6 }cot6−11π​

Find the Exact Circular Function Value $\cot \frac { - 11 \pi } { 6 }$