Question

Find cot θ if sec θ = 2?

Find cot `theta` if sec `theta` = 2

Answer 1

`cottheta=+-1/sqrt3`

Explanation:

We have,
`sectheta=2`
So,
`tan^2theta=sec^2theta-1=4-1=3`
`cot^2theta=1/(tan^2theta)=1/3rArrcottheta=+-1/sqrt3`