Matematika

Pertanyaan

Bantuan nya.Hitunglah nilai 2cos50° cos40°-2sin95°sin85°?

1 Jawaban

  • Misal : A = 50°
    B = 40°
    C = 95°
    D = 85°
    2Cosa. Cosb = cos(a+b) + cos(a-b)
    -2Sina. Sinb = cos(a+b) - cos(a-b)
    2CosA.CosB - 2SinC.SinD =
    Cos(A+B) + Cos(A-B) + Cos(C+D) - Cos(C-D)
    (Masukkan sudut)

    = cos90° + Cos10° + Cos180° - Cos10°
    = cos90° + Cos180°
    = 0 + (-1)
    = -1

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