Prove that:tan−1(1−xyx+y)=tan−1x+tan−1y

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Prove that: ^{-1}({{x}+{y}}{1-{xy}})=^{-1}{x}+^{-1}{y}

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Prove that:
$tan^{- 1} (\frac{x + y}{1 - x y}) = tan^{- 1} x + tan^{- 1} y$

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Prove that:

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

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Question Text

Prove that:

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