Pre-Calculus

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Here is correct question:
Solve
sin (pi/4*(x-6))=0.5, 0<x<360

  • Pre-Calculus -

    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

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