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Verified answer
Interval : 0 < x < 3π/2sin 2x - 1/2 √3 = 0
sin 2x = 1/2 √3
sin 2x = sin 60°
2x = 60°
x = 30°
sin 2x = sin 120°
x = 60°
sin 2x = sin (2π + 60°)
2x = 420°
x = 210°
HP = {30°, 60°, 210°}