# How do you find the value of cot 60?

Jun 10, 2015

$\cot \left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{3}$.

#### Explanation:

cot(60°)=cot(pi/3).
cot(pi/3) is a known value as we can see in the sketch below:

If you don't remember $\cot \left(\frac{\pi}{3}\right)$ it can be useful to remember that
$\cot \left(x\right) = \frac{1}{\tan} \left(x\right)$
So $\cot \left(\frac{\pi}{3}\right) = \frac{1}{\tan} \left(\frac{\pi}{3}\right) = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3.}$