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If tan ^(-1)[(sqrt(1+x^(2))-sqrt(1-x^(2)...

If `tan ^(-1)[(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1 x^(2)))]=alpha` then `x^(2)=`

A

`cos 2 alpha`

B

`tan 2 alpha`

C

`sin 2 alpha`

D

`cot 2 alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
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