Question

How do you find the exact value of `cot^-1(-sqrt3)`?

Answer 1

`cot^(-1)(-sqrt3)=-pi/6`

Explanation:

The range for `cot^(-1)x` is from `-pi/2` to `pi/2`

As `cot(-pi/6)=-sqrt3`

`cot^(-1)(-sqrt3)=-pi/6`