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

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

A

`-pi/4`

B

`pi/4`

C

`(3pi)/4`

D

`(5pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `cos^(-1)(-1/sqrt(2))=x`, where `x in [0,pi]`
Then, `cosx=-1/sqrt(2)=-cospi/4=cos(pi-pi/4)=cos(3pi)/4 rArr x=(3pi)/4`
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