Question

Find all solutions of the equation. 5 sin x - 8 = 3 sin x- 7

Answer 1

hello :
5 sin x - 8 = 3 sin x- 7
5 sin x - 3 sin x = 8 - 7
2sinx =1
sinx =1/2
but : sin(π/6 ) = 1/2
so : sinx = sin(π/6 )
ll solutions : x = π/6 +2kπ or x= π - π/6 +2kπ ...k in : Z