2 sin ( 90 drjt - × ) =1 ( 0 drjt < × < 90 drjt )
Matematika
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Pertanyaan
2 sin ( 90 drjt - × ) =1 ( 0 drjt < × < 90 drjt )
2 Jawaban
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1. Jawaban eripane05
2sin a = 1
sin a = 1/2
sin a = sin 30
2 sin (90-x) = 2 sin 30
90- x = 30
x = 60°
karena intervalnya hanya antara 0=> 90
maka Hp = {60°} -
2. Jawaban ErikCatosLawijaya
Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Trigono
Pembahasan :
2Sin(90° - x) = 1
Sin (90° - x) = 1/2
Sin (90° - x) = Sin 30°
90 - x = 30° + K . 360°
x = 60° - K . 360°
90° - x = (180 - 30)° + K. 360°
90° - x = 150° + K . 360°
x = -60° - K . 360°
Misal K = 0, maka :
x = 60°
x = -60° (TM)
Misal K = 1, maka :
x = -300° (TM)
x = -420° (TM)
Hp : {60°}