Find the value of sin(sin^-1(4/5)+tan^-1(5/12)) without using calculator.Use angle sum or different identities.

Answer 1

cos(sin^-1(4/5)) = 3/5

sin(tan^-1(5/12)) = 5/13

cos(tan^-1(5/12)) = 12/13

Now use the addition formula for sin(x+y) to get the value you need