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If alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-...

If `alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2)))` then prove that `x^(2) = sin 2alpha`.

A

x

B

`x^(3)`

C

`x^(2)`

D

`x^(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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