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Find the principal value of: sin^(-1)(-1...

Find the principal value of: `sin^(-1)(-1/2)`

A

`-pi/6`

B

`(5pi)/6`

C

`(7pi)/6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Let `sin^(-1)(-1/2)=x`, where `x in [-pi/2,pi/2]`.
Then, `sinx=-1/2=-sinpi/6=sin(-pi/6) rArr x=-pi/6`.
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