Matematika

Pertanyaan

Soal persamaan trigonometri nomor 7
Soal persamaan trigonometri nomor 7

1 Jawaban

  • 2 cos (2x - 60°) = 1
    cos (2x - 60°) = 1/2
    cos (2x - 60°) = cos 60°
    2x - 60° = 60° ± k . 360°
    2x = 120° + k.360°
    x = 60° + k.180°
    x1 = 60° + 0.180° = 60°

    cos (2x - 60°) = cos 300°
    2x - 60° = 300° ± k.360°
    2x = 360° ± k.360°
    x = 180° + k.180°
    x2 = 180° + 0.180° = 180°
    x3 = 180° + 1.180° = 360°
    x3 = 0°

    HP = {0°, 60°, 180°}