Matematika

Pertanyaan

Cos 4x+ cos 2x = 0 untuk 0《 x 《 2r

1 Jawaban

  • cos 4x + cos 2x = 0
    2cos² 2x - 1 + cos 2x = 0
    (2 cos 2x - 1)(cos 2x + 1) = 0
    cos 2x = 1/2 atau cos 2x = -1

    0 ≤ x ≤ 2π

    cos 2x = 1/2
    2x = 60° ---> x = 30° = π/6
    2x = 300° ---> x = 150° = 5π/6
    2x = 420° ---> x = 210° = 7π/6
    2x = 660° ---> x = 330° = 11π/6

    cos 2x = -1
    2x = 180° --> x = 90° = π/2
    2x = 540° --> x = 270° = 3π/2

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