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The principal value of cos^(-1)(-1/2) is...

The principal value of `cos^(-1)(-1/2)` is

A

`-pi/3`

B

`(2pi)/3`

C

(4pi)/3`

D

`pi/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `cos^(-1)(-1/2)=x`, where `x in [0,pi]`.
Then, `cosx=-1/2=-cospi/3 = cos(pi-pi/3)=cos(2pi)/3 rArr x=(2pi)/3`.
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