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Prove that : sin^-1 frac{3}{5} + sin^-1 ...

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

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Show that sin^-1 frac{3}{5} - sin^-1 frac {8}{17}= cos^-1 frac {84}{85}

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

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

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

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

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

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

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

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

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