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The value of tan^(-1)(tan(8*pi/6)) is...

The value of `tan^(-1)(tan(8*pi/6))` is

A

`(7pi)/6`

B

`(5pi)/3`

C

`pi/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Let `tan^(-1)(tan(8pi)/6)=x`, where `x in (-pi/2,pi/2)`.
Then, `tanx=tan(8pi)/6 = tan(pi+2pi/6)=tanpi/3 rArr x=pi/3`.
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