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Let, tan^-1y=tan^-1x+tan^-1((2x)/(1-x^2)...

Let, `tan^-1y=tan^-1x+tan^-1((2x)/(1-x^2))`, where `absx lt 1/sqrt3`. Then a value of y is:

A

`(3x+x^3)/(1-3x^2)`

B

`(3x-x^3)/(1+3x^2)`

C

`(3x+x^3)/(1+3x^2)`

D

`(3x-x^3)/(1-3x^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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