Find the exact circular function value.
-$\cot \frac { - 11 \pi } { 6 }$
A) $\frac { \sqrt { 3 } } { 2 }$
B) $\sqrt { 3 }$
C) $- \frac { \sqrt { 3 } } { 2 }$
D) $- \sqrt { 3 }$

Question

Quizplus · Accepted Answer

The cotangent function is the reciprocal of the tangent function. The angle $-\frac{11\pi}{6}$ is coterminal with $\frac{\pi}{6}$ (since adding $2\pi$ to the angle doesn't change its cotangent value), where $\tan(\frac{\pi}{6}) = \frac{1}{\sqrt{3}}$. Therefore, $\cot(\frac{-11\pi}{6}) = \cot(\frac{\pi}{6}) = \frac{1}{\tan(\frac{\pi}{6})} = \sqrt{3}$.

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

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