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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)`

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MODERN PUBLICATION-INVERSE-TRIGONOMETRIC FUNCTIONS-EXERCISE
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  4. Find the value of sin^-1(sin(4pi)/5)

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  19. If cot^-1 7 + cot^-1 8 + cot^-1 18 = cot^-1 k, then k is

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