c exact value jwritca Simptificd fraction sin cos 17 tan So

c exact value jwritca Simptificd fraction sin. (cos 17 + tan..!

Solution

sin ( cos^-1 15/17 + tan^-1 4/3)

let cos^-1 15/17 = x

cos x = 15/17

sin x = 8 / 17

let tan^-1 (4/3) = y

tan y = 4/3

sin y = 4/5

cos y = 3/5

sin (x + y ) = sin x cos y + cos x sin y

plugging the values we get

8/17 * 3/5 + 15/17 * 4/5

= 24 / 85 + 60 / 85

sin ( cos^-1 15/17 + tan^-1 4/3) = 84/85