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cos^(-1)(cos(7pi)/6)is equal to(a) (7pi)...

`cos^(-1)(cos(7pi)/6)`is equal to(a) `(7pi)/6` (B) `(5pi)/6` (C) `pi/3` (D) `pi/6`

A

`(7pi)/(6)`

B

`(5pi)/(6)`

C

`(pi)/(3)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
`cos^(-1)""(cos""(7pi)/(6))=cos^(-1)""[cos(2pi-(5pi)/(6))]`
`:.` Range of `cos^(-1)x=[0,pi]`
`=cos^(-1)(cos""(pi)/(6))=(5pi)/(6)`
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