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The value of cos^(-1)(cos(14pi/6)) is...

The value of `cos^(-1)(cos(14pi/6))` is

A

`(13pi)/6`

B

`(7pi)/6`

C

`(5pi)/6`

D

`2pi/6`

Text Solution

Verified by Experts

The correct Answer is:
D
Let `cos^(-1)(cos(14pi)/6)=x,` where `x in [0,pi]`.
Then, `cosx=cos(13pi)/6=cos(2pi+2pi/6)=cos2pi/6 rArr x=2pi/6`.
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