Matematika

Pertanyaan

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tolong ya...........

1 Jawaban

  • y = a sin (bx + c)

    =>
    30° sampai 120° adalah setengah periode = 120° - 30° = 90°
    1 periode = 180° = π

    periode = 2π/b
    π = 2π/b
    b = 2
    misal, a = 2

    =>
    saat x = 30°, y = 1
    y = a sin ( bx + c )
    1 = 2 sin ( 2.30° + c )
    1 = 2 sin ( 60° + c )
    misal c = -30°
    1 = 2 sin 30° [terbukti]

    saat 120°, y = -1
    y = a sin ( bx + c )
    -1 = 2 sin ( 2.120° + c )
    -1 = 2 sin ( 240° + c )
    misal c = -30°
    -1 = 2 sin 210° [terbukti]

    Jadi, a = 2, b = 2, c = - 30°

    Persamaannya =
    y = 2 sin ( 2x - 30° )

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