If 3tan−1(2+31)−tan−1x1=31, then x is equal to

The given equation can be written as 3tan−1(2+31)=31+tan−1x1⟹3(15∘)=tan−11−x131x1+31⟹1=3x−13+x⟹x=2

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If 3^{-1}({1}{2+{3}})-^{-1}{1}{x}={1}{3}, then x is equal to

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If $3 tan^{- 1} (\frac{1}{2 + 3}) - tan^{- 1} \frac{1}{x} = \frac{1}{3}$ , then x is equal to

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Elijah Discussed

3 tan^{- 1} (\frac{1}{2 + 3}) - tan^{- 1} \frac{1}{x} = \frac{1}{3}

, then x is equal to

7 mins ago

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7 mins ago

The given equation can be written as

3 tan^{- 1} (\frac{1}{2 + 3}) = \frac{1}{3} + tan^{- 1} \frac{1}{x}

⟹ 3 (1 5^{\circ}) = tan^{- 1} \frac{\frac{1}{x} + \frac{1}{3}}{1 - \frac{1}{x} \frac{1}{3}} ⟹ 1 = \frac{3 + x}{3 x - 1} ⟹ x = 2

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Question Text	If $3 tan^{- 1} (\frac{1}{2 + 3}) - tan^{- 1} \frac{1}{x} = \frac{1}{3}$ , then x is equal to
Answer Type	Text solution:1
Upvotes	150