# Pre-Calculus

posted by .

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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