Matematika

Pertanyaan

(2 sin⁡60 + cos 60)^2 + (sin 60 - 2 cos 60)^2

1 Jawaban

  • Nilai fungsi trigonometri

    sin 60 = 1/2 √3 --> 2 sin 60 = √3
    cos 60 = 1/2 --> 2 cos 60 = 1

    (2 sin 60 + cos 60)² + (sin 60 - 2 cos 60)² =
    = (√3 + 1/2)² + (1/2 √3 - 1)²
    = 3+ √3 + 1/4 + 3/4 - √3 +1
    = 3 + 1 + 1/4 + 3/4
    = 4 + 4/4
    = 4 + 1
    = 5

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