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cosec^(-1)(cosx) is defined if...

`cosec^(-1)(cosx)` is defined if

A

`x in [-1,1]`

B

`x in R`

C

`x=(2n+1)(pi)/(2), n in z`

D

`x=n pi , n in z`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that `cosec^(-1)x` is defined for
`x in(-infty,-1]cup[1,infty)` Therefore `cosec^(-1) (cosx)` is defined for
`cosx=px1rarr x n pi n in z`
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