Solve for x: `tan^-1 (frac{x}{2}) + tan^-1(frac{x}{3}) = frac{pi}{4}, x > 0`

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

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}

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

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

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

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

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