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May 29, 2016
Posted by **Hanu** on Saturday, January 11, 2014 at 8:10pm.

Solve

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

- Pre-Calculus -
**Reiny**, Saturday, January 11, 2014 at 9:02pmI 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