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The set of vlues of x for which tan^(-...

The set of vlues of x for which
`tan^(-1)(x)/sqrt(1-x^(2))=sin^(-1)` x holds is

A

R

B

`(-1,1)`

C

`(0,1)`

D

`[-1,0]`

Text Solution

Verified by Experts

We observe that RHS is defined forall `x in [-1,1]` whereas LHS is meaningfull for -`1ltxlt1`
Also for `x in (-1,1)` we have
`tan^(-1)(x)/sqrt(1-x^(2))`
`theta=sin^(-1)x`
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