Question

Question #834e4

Answer 1

`=(12+5sqrt3)/26`

Explanation:

`sin (sin^(–1)(1/2) + sin^–1(5/13))`

`=sin sin^(–1)((1/2)sqrt(1-(5/13)^2) + sqrt(1-(1/2)^2)(5/13))`

`=((1/2)sqrt(144/169) + sqrt(3/4)(5/13))`
`=((1/2)xx12/13 + sqrt(3)/2(5/13))`
`=(12+5sqrt3)/26`