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

If `sin^(-1) ((2a)/(1+a^2))+cos^(-1) ((1-a^2)/(1+a^2))=tan^(-1) ((2x)/(1-x^2))` , where a, x `in` (0,1), then the value of x is :

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
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