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

If `tan^(-1) y = tan^(-1) x + tan^(-1)((2x)/(1 -x^(2)))", where" |x| lt 1/sqrt3`.
Then, the 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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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 2: (CONCEPT APPLICATOR)
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