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

Let `tan^(-1)y = tan^(-1)x + tan^(-1)((2x)/(1-x^(2)))` where `|x| lt 1/sqrt(2)` 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:
C
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