Question

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

Answer 1

`cot(pi/3)=1/sqrt3`

Explanation:

`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): `sqrt3` (from Pythagoras )

The cotangent ratio is `(adjacent)/(opposite`

Therefore cot 60 or `cot( pi/3)=1/sqrt3`