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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 prove that "x^(2)=sin2alpha.`

A

`sin2alpha`

B

`sinalpha`

C

`sinalpha`

D

`cosalpha`

Text Solution

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The correct Answer is:
A, B
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