1.

cos(sin^-1 3/5+sin^-1 5/13)

Answer»

sin^-1 (3/5) + sin^-1 (5/13)

= sin^-1 (3/5 * 12/13 + 5/13* 4/5)

= sin^-1 (56/65)

= cos^-1(33/65)

Now

cos (cos^-1 33/65) = 33/65



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