The principal values of cost^(-1)(-sin(7...

The principal values of `cost^(-1)(-sin(7pi)/(6))` is

A

`(5pi)/(3)`

B

`(7pi)/(6)`

C

`(pi)/(3)`

D

none of these

Verified by Experts

The correct Answer is:

C

`cos^(-1)(-sin.(7pi)/(6))=cos^(-1)(-sin(pi+(pi)/(6)))`
`=cos^(-1)(sin.(pi)/(6))`
`=cos^(-1)((1)/(2))=(pi)/(3)`

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