Question

What is the answer for this question?

Answer 1

A

Explanation:

`(11\pi )/(6)` is in the fourth quadrant where tan < 0

The related acute angle = 2π -
`(11\pi )/(6)` =
`(\pi )/(6)`

Hence

tan(
`(11\pi )/(6)` )

= - tan(
`(\pi )/(6)` )

= -
`(1)/(√(3) )`

= -
`(1)/(√(3) )` ×
`(√(3) )/(√(3) )`

= -
`(√(3) )/(3)` → A