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

Question

Quizplus · Accepted Answer

The cotangent function is the reciprocal of the tangent function. The angle $-\frac{11\pi}{6}$ is coterminal with $\frac{\pi}{6}$ because when you add $2\pi$ to $-\frac{11\pi}{6}$, you get $\frac{\pi}{6}$. The tangent of $\frac{\pi}{6}$ is $\frac{1}{\sqrt{3}}$, so the cotangent, being its reciprocal, is $\sqrt{3}$.

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

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