Find the exact value. Do not use a calculator.
-$\cot \frac { \pi } { 6 }$
A) $\frac { \sqrt { 3 } } { 2 }$
B) 1
C) $\frac { \sqrt { 3 } } { 3 }$
D) $\sqrt { 3 }$

Question

Quizplus · Accepted Answer

The cotangent of an angle is the reciprocal of its tangent. For $\frac{\pi}{6}$ (or 30 degrees), $\tan(\frac{\pi}{6}) = \frac{1}{\sqrt{3}}$, so $\cot(\frac{\pi}{6}) = \frac{1}{\tan(\frac{\pi}{6})} = \sqrt{3}$.

Find the Exact Value cot⁡π6\cot \frac { \pi } { 6 }cot6π​

Find the Exact Value $\cot \frac { \pi } { 6 }$