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

Let `tan^(-1) y = tan^(-1) x + tan^(-1) ((2x)/(1 -x^(2))), " where " |x| 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:
A
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