Range of the function f(x)=cos^(-1)x+2...

Range of the function
`f(x)=cos^(-1)x+2cot^(-1)x+3cosec^(-1)x` is equal to

A

`[pi,2pi]`

B

`{pi,2pi}`

C

`{2pi,3pi}`

D

`[2pi,3pi]`

Verified by Experts

The correct Answer is:

B

Domain is `{-1,1}`
`becausef(-1)=pi+(3pi)/(2)-(3pi)/(2)=pi`
`f(1)=0+(pi)/(2)+(3pi)/(2)=2pi`
Range is `{pi,2pi}`

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