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

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

A

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

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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