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If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/...

If `sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x ,` then `x` is equal to `[a , b , in (0,1)]` `(a-b)/(1+a b)` (b) `b/(1+a b)` (c) `b/(1+a b)` (d) `(a+b)/(1-a b)`

A

`(a-b)/(1+ab)`

B

`a/(1+ab)`

C

`b/(1-ab)`

D

`(a+b)/(1-ab)`

Text Solution

Verified by Experts

The correct Answer is:
D
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