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

Let `tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2))` , where `|x|<1/(sqrt(3))` . Then a value of y is : (1) `(3x-x^3)/(1-3x^2)` (2) `(3x+x^3)/(1-3x^2)` (3) `(3x-x^3)/(1+3x^2)` (4) `(3x+x^3)/(1+3x^2)`

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

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The correct Answer is:
A
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