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The principle value of sin ^(-1)(sin ""(...

The principle value of `sin ^(-1)(sin ""(2pi)/(3))` is

A

`(2pi)/3`

B

`(5pi)/3`

C

`pi/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Let `sin^(-1)(sin(2pi)/3)=x`, where `x in [-pi/2,pi/2]`
Then, `sinx=sin(2pi)/3=sin(pi-pi/3)=sinpi/3 rArr x=pi/3`.
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