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

##### 1 Answer
Oct 9, 2016

$\cot \left(\frac{\pi}{3}\right) = \frac{1}{\sqrt{3}}$

#### Explanation:

$\frac{\pi}{3}$ is 60 degrees.
Draw an equilateral triangle. Cut it in half. The angles are 30, 60,90
The ratio of the sides is 1: 2(the hypotenuse): $\sqrt{3}$ (from Pythagoras )

The cotangent ratio is (adjacent)/(opposite

Therefore cot 60 or $\cot \left(\frac{\pi}{3}\right) = \frac{1}{\sqrt{3}}$