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Find the principal values of each of the following: `cot^(-1)(-sqrt(3))` (ii) `cot^(-1)(sqrt(3))`

A

`-pi/6`

B

`pi/6`

C

`(7pi)/6`

D

`(5pi)/6`

Text Solution

Verified by Experts

The correct Answer is:
D
Let `cot^(-1)(-sqrt(3))=x`, where `x in [0,pi]`
Then, `cotx=-sqrt(3)=-cotpi/6=cot(pi-pi/6)=cot(5pi)/6 rArr x=(5pi)/6`.
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