Matematika

Pertanyaan

kak tolong kerjakan besok mau di kumpul.
kak tolong kerjakan besok mau di kumpul.

1 Jawaban

  • 1) 2 cos^2 x - 5 cos x = 3
    2 (cos x)^2 - 5 cos x - 3 = 0
    Misal cos x = a
    2a^2 - 5a - 3 = 0
    (2a + 1)(a - 3) = 0
    a = -1/2 atau a = 3
    Yang diambil a = -1/2 karena nilai dari cos x : -1 ≤ cos x ≤ 1
    a = -1/2
    Cos x = -1/2 ===> cos bernilai negatif dikuadran 2 dan 3
    Kuadran 2 => x = (180° - 60°) = 120°
    Kuadran 3 => x = (180° + 60°) = 240°
    HP = {120°, 240°}

    2) 6 cos x - 3 = 0
    6 cos x = 3
    Cos x = 1/2 ====> cos bernilai positif dikuadran 1 dan 4
    Kuadran 1 : x = 60°
    Kuadran 4 : x = (360° - 60°) = 300°
    HP = {60°, 300°}