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cos[sin-1 (3/5)+sin-1(5/13)] evaluate the following

cos[sin-1 (3/5)+sin-1(5/13)]
evaluate the following
 

Grade:11

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
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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