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

If `sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2)))`, then what os the value of x ?

A

(a) a

B

(b) b

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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