# How do you evaluate cot((2pi)/3)?

Apr 4, 2016

$1.402$

#### Explanation:

Evaluate $\frac{2 \pi}{3}$ where $\pi = {180}^{o}$, which gives a value of ${120}^{o}$.

Also know that $\cot = \frac{1}{\tan}$.

Therefore,

$\cot \left(\frac{2 \pi}{3}\right) = \frac{1}{\tan \left(120\right)} = \frac{1}{0.713} = 1.402$

Apr 5, 2016

$- \frac{\sqrt{3}}{3}$

#### Explanation:

Trig table --> $\tan \left(\frac{2 \pi}{3}\right) = - \sqrt{3}$
Therefor,
$\cot \left(\frac{2 \pi}{3}\right) = \frac{1}{\tan} = - \frac{1}{\sqrt{3}} = - \frac{\sqrt{3}}{3}$