PreCalculus
posted by Hanu .
Here is correct question:
Solve
sin (pi/4*(x6))=0.5, 0<x<360

I know that sin (π/6) or sin 30° = .5
so
(π/4)(x6) = π/6 or (π/4)(x6) = π  π/6 = 5π/6 (in II)
case 1
times 12 and divide by π
3(x6) = 2
3x  18 = 2
3x=20
x = 20/3
case 2
times 12 , and divide by π
3(x6) = 10
3x  18=10
3x = 28
x = 28/3