If x takes negative permissible vlaue th...

If x takes negative permissible vlaue then `sin^(-1)x=`

A

`-cos^(-1)sqrt(1-x^(2))`

B

`cos^(-1)sqrt(x^(2)-1)`

C

`pi-cos^(-1)sqrt(1-x^(2))`

D

`cos^(-1)sqrt(1-x^(2))`

Verified by Experts

The correct Answer is:

A

Let `x=-y,ygt0`
`thereforesin^(-1)x=sin^(-1)(-y)=-sin^(-1)y`
`=-cos^(-1)sqrt(1-y^(2))=-cos^(-1)sqrt(1-x^(2))`

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