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

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

sin^-1 frac{8}{17}+ sin^-1 frac {3}{5}= tan^-1 frac{77}{36}

Prove that : sin^-1 frac{5}{13} + sin^-1 frac{7}{25}= cos^-1 frac{253}{325}

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

Prove that : sin^-1 frac{3}{5} + sin^-1 frac{8}{17}= cos^-1 frac{36}{85}

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

cos^-1 frac{12}{13}+ sin^-1 frac {3}{5}= sin^-1 frac{56}{65}

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}{4}= tan^-1 frac{32}{43}

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