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Prove that : 2 tan^-1 frac{1}{5} + tan^-...

Prove that : `2 tan^-1 frac{1}{5} + tan^-1 frac{1}{4}= tan^-1 frac{32}{43}`

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Prove that : 2 tan^-1 frac{1}{5} + tan^-1 frac{1}{8}= tan^-1 frac{4}{7}

Prove that : 2 tan^-1 frac{1}{5} + tan^-1 frac{1}{6}=tan^-1 frac{42}{67}

Prove that : 2 tan^-1 frac{1}{2} + tan^-1 frac{1}{7}=tan^-1 frac{31}{17}

Prove that : 2 tan^-1 frac{1}{7} + tan^-1 frac{1}{3}=tan^-1 frac{9}{13}

tan^-1 frac{1}{2} + tan^-1 frac {2}{11} = tan^-1 frac{3}{4}

tan^-1 frac{1}{2} + tan^-1 frac {1}{7} = tan^-1 frac{9}{13}

tan^-1 frac{2}{11} + tan^-1 frac {7}{24} = tan^-1 frac{1}{2}

2tan^-1 frac{1}{3} + tan^-1 frac{1}{7}= frac {pi}{4}

Prove that : cos^-1 frac{12}{13} + sin^-1 frac{4}{5}= tan^-1 frac{63}{16}

Prove that : sin^-1 frac{5}{13} + cos^-1 frac{3}{5}= tan^-1 frac{63}{16}