Here is correct question:

Question

Solve
sin (pi/4*(x-6))=0.5, 0<x<360

Answer 1

I know that sin (π/6) or sin 30° = .5
so
(π/4)(x-6) = π/6 or (π/4)(x-6) = π - π/6 = 5π/6 (in II)

case 1
times 12 and divide by π
3(x-6) = 2
3x - 18 = 2
3x=20
x = 20/3

case 2
times 12 , and divide by π
3(x-6) = 10
3x - 18=10
3x = 28
x = 28/3