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Prove that : tan1/2{sin^(-1)(2x)/(1+x^2)...

Prove that : `tan1/2{sin^(-1)(2x)/(1+x^2)+cos^(-1)(1-y^2)/(1+y^2)}=(x+y)/(1-x y)` , if `|x|<1,` `y >0` and `x y<1` .

A

`(x-y)/(1+xy)`

B

`(y-x)/(1+xy)`

C

`(x+y)/(1-xy)`

D

`(x+y)/(xy-1)`

Text Solution

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The correct Answer is:
C
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