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Prove that tan^(-1)x+"tan"^(-1)(2x)/(1-x...

Prove that `tan^(-1)x+"tan"^(-1)(2x)/(1-x^(2))=tan^(-1)((3x-x^(3))/(1-3x^(2))),|x|lt1/(sqrt(3))`

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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