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Show that : tan^-1 frac{1}{3} + tan^-1 f...

Show that : `tan^-1 frac{1}{3} + tan^-1 frac{1}{5}=frac{1}{2} cos^-1 frac{33}{65}`

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Show that : tan^-1 frac{1}{2} + tan^-1 frac{1}{5}=frac{1}{2} cos^-1 frac{16}{65}

Show that : tan^-1 frac{1}{2} + tan^-1 frac{1}{4}=frac{1}{2} cos^-1 frac{13}{85}

tan^-1 frac{2}{11} + tan^-1 frac{7}{24}= frac{1}{2}cos^-1 frac{3}{5}

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

tan^-1 frac{1}{2} + tan^-1 frac{2}{11}= frac{1}{2}sin^-1 frac{24}{25}

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

Prove that : sin^-1 (frac{5}{13}) + cos^-1 (frac{4}{5}) = frac{1}{2} sin^-1 (frac {3696}{4225}) .

tan^-1 frac{1}{2} + tan^-1 frac {1}{7} = 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}{5} + tan^-1 frac{1}{4}= tan^-1 frac{32}{43}