Question

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Answer 1

Verified answer

Pertidaksamaan Trigonometri

2 cos² 2x  + 3 √(1 - sin² 2x )  < 2
2 cos² 2x  + 3 √(cos² 2x) - 2 < 0
2 cos² 2x + 3 cos 2x - 2 < 0
(2 cos 2x - 1)( cos 2x + 2) <0
2cos 2x - 1 = 0  atau cos 2x + 2 = 0
cos 2x = 1/2  atau cos 2x = - 2 ( tm)

cos 2x = 1/2 = cos π/3
2x= π/3
x = π/6

cos 2x = 1/2 = cos 5π/3
2x = 5π/3
x = 5π/6

pada interval  0 ≤ x ≤ π
HP  π/6 <  x  <  5π/6