Matematika

Pertanyaan

tolong bantu dgn cara penyelesaiannya :)
tolong bantu dgn cara penyelesaiannya :)

1 Jawaban

  • a)
    tan A = -1
    tan A = tan 135°
    maka
    A = 135° ± k×180°
    k = 0 → A = 135°
    k = 1 → A = 315°

    jadi A = 135° atau A = 315°

    b)
    sin (A - 30°) = 1/√2
    sin (A - 30°) = sin 45°
    maka

    1) A - 30° = 45° + k×360°
    A = 75° + k×360°
    k = 0 → A = 75°
    2) A - 30° = 180°-45° + k×360°
    A = 165° + k×360°
    k = 0 → A = 165°

    jadi A = 75° atau A = 165°

    c) cos (A - 20°) = -½
    cos (A - 20°) = cos 120°
    maka

    1) A - 20° = 120° + k×360°
    A = 140° + k×360°
    k = 0 → A = 140°
    2) A - 20° = -120° + k×360°
    A = -100° + k×360°
    k = 1 → 260°

    jadi A = 140° atau A = 260°

    semoga membantu