Matematika

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Himpunan penyelesaian dari 3 tan (2x + 120) = √3

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  • Bab Trigonometri
    Matematika SMA Kelas X

    3 tan (2x + 120°) = √3
    tan (2x + 120°) = (√3)/3

    2x + 120° = 30° + 1 x 180°
    2x = 210° - 120°
    x = 90°/2
    x = 45°

    2x + 120° = 30 + 2 x 180°
    2x = 390° - 120°
    x = 270°/2
    x = 135°

    2x + 120° = 30° + 3 x 180°
    2x = 570° - 120°
    x = 450°/2
    x = 225°

    2x + 120° = 30° + 4 x 180°
    2x = 750° - 120°
    x = 630° / 2
    x = 315°

    HP = {45°, 135°, 225°, 315°}

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