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If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(s...

If `tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha,` then prove that `x^2=sin2alpha`

A

`(-x)/sqrt(1 - x ^(4))`

B

`(x)/sqrt(1 - x ^(4))`

C

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

D

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

Text Solution

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The correct Answer is:
A
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