Matematika

Pertanyaan

himpunan penyelesaian dari persamaan trigometri cos 2x = cos 60°

2 Jawaban

  • maaf jika salah,,,....
    Gambar lampiran jawaban Anham
  • cos2x = cos60
    2x = 60
    x = 60/2
    x = 30°

    (ingat cos 60 = cos (360 - 60) = cos300)

    cos2x = cos300
    2x = 300
    x= 300/2
    x = 150°

    cos60 = cos(360 + 60) = cos420

    cos2x = cos420
    2x = 420
    x = 420/2
    x = 240°

    cos60 = cos(720-60) = cos660

    cos2x = cos660
    2x = 660
    x = 660/2
    x = 330°

    jadi
    HP = {30°, 150°, 240°, 330°}

    smg membantu

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