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The value of cos^(-1)(cos'(3pi)/(2)) is...

The value of `cos^(-1)(cos'(3pi)/(2))` is

A

`pi/2`

B

`(3pi)/(2)`

C

`(5pi)/(2)`

D

`(7pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
We have, `cos^(-1) (cos'(3pi)/(2))`
`cos^(-1)cos(2pi - pi/2) , [:' cos(2pi-(pi)/(2)) = cos'(pi)/(2)]`
`cos^(-1)cos(pi/2) = pi/2` , {`:' cos^(-1) (cosx) = x, x in [0,pi]`}
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