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Prove that : cos^-1 (12/13) + sin^-1 (...

Prove that :
`cos^-1 (12/13) + sin^-1 (3/5) = sin^-1 (56/65)`

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Prove that : cos^-1(12/13) + sin^-1(3/5) = cos^-1(33/65)

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Prove that : sin^-1 (8/17) + sin^-1(3/5) = tan^-1 (77/36)

Prove that : sin^-1 (3/5) + sin^-1 (8/17) = cos^-1 (36/85)

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Prove that : sin^-1(3/5) + sin^-1(8/17) = sin^-1(77/85)

Prove that : sin^-1 (3/5) + sin^-1 (5/13) = cos^-1 (33/65)

Prove that : sin^-1(4/5) + sin^-1 (5/13) = cos^-1 (16/25)