Let tan−1y=tan−1x+tan−1(1−x22x), where ∣x∣<31. Then a value of y is :

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Let {{}^{{-{1}}}{y}}={{}^{{-{1}}}{x}}+{{}^{{-{1}}}{({{{2}{x}}}

Question

Let $tan^{- 1} y = tan^{- 1} x + tan^{- 1} (\frac{2 x}{1 - x ^{2}})$ , where $∣ x ∣ < \frac{1}{3}$ . Then a value of y is :

\frac{3 x - x ^{3}}{1 - 3 x ^{2}}

(3))

. T h e n a v a l u e o f y i s : (1)

(3x-x^3)/(1-3x^2)

(2) ∣ ∣)

. Then a value of y is :(1)

\frac{3 x - x ^{3}}{1 - 3 x ^{2}}

(2)

\frac{3 x + x ^{3}}{1 - 3 x ^{2}}

(3)

\frac{3 x - x ^{3}}{1 + 3 x ^{2}}

\frac{3 x + x ^{3}}{1 + 3 x ^{2}}

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Levi Discussed

Let

tan^{- 1} y = tan^{- 1} x + tan^{- 1} (\frac{2 x}{1 - x ^{2}})

, where

∣ x ∣ < \frac{1}{3}

. Then a value of y is :

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Question Text	Let $tan^{- 1} y = tan^{- 1} x + tan^{- 1} (\frac{2 x}{1 - x ^{2}})$ , where $∣ x ∣ < \frac{1}{3}$ . Then a value of y is :
Answer Type	Video solution: 1
Upvotes	150