Matematika

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himpunan penyelesaian dari 2 sin (3x-30)-1 = 0

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  • 2 sin(3x-30) -1 = 0
    2 sin(3x-30) = 1
    sin(3x-30) = ½
    sin(3x-30) = sin 30° V sin 150°

    a. sin(3x-30) = sin 30
    3x - 30 = 30 + k.360
    3x = 60 + k.360
    x = 20 + k.120
    k=0 — x = 20
    k=1 — x = 140
    k=2 — x = 260
    k=3 — x = 380
    ...

    b. sin(3x-30) = sin150°
    3x -30 = 150 + k.360
    3x = 180 + k.360
    x = 60 + k.120
    k=0 — x = 60
    k=1 — x = 180
    k=2 — x = 300
    k=3 — x = 420
    ...

    HP {20,60,140,180,260,300,380,420,...}

    Semoga membantu. maaf kalau salah

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