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Mapel : Matematika PeminatanKelas : XI SMA
Materi : Persamaan Trigonometri
Pembahasan :
Batas Interval
0 < x < 2π
Cos 2x - Sin x = 0
1 - 2Sin²x - Sin x = 0
2Sin²x + Sin x - 1 = 0
(2Sin x - 1)(Sin x + 1) = 0
Sin x = 1/2
Sin x = Sin 30° , Sin 150°
x = 30° , 150°
x = 1/6π , 5/6π
Sin x = -1
Sin x = Sin 270°
x = 270°
x = 3/2π
Hp : {1/6π , 5/6π , 3/2π}