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Show that: tan^-1 (frac {1-x}{1+x})= fra...

Show that: `tan^-1 (frac {1-x}{1+x})= frac {1}{2} tan^-1(frac{1-x^2}{2x}), x>0`

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

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}

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

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}{7} + tan^-1 frac{1}{3}=tan^-1 frac{9}{13}

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

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

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