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The principal value of tan^-1(-sqrt3) is...

The principal value of `tan^-1(-sqrt3)` is

A

`(2pi)/3`

B

`(4pi)/3`

C

`-pi/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Let `tan^(-1)(-sqrt(3))=x`, where `x in (-pi/2,pi/2)`.
Then, `tanx=-sqrt(3)=-tanpi/3=tan(-pi/3) rArr x=-pi/3`.
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