Matematika

Pertanyaan

nilai 8 cos 75° sin 165°

1 Jawaban

  • 8 cos 75° sin 165°
    Rumus:
    cos α sin β = ½ {sin(α+β) - sin (α-β)}
    8 cos 75° sin 165°
    = 8 x ½ {sin(75°+165°) - sin (75°-165°)}
    = 4 (sin 240° - sin (-90°))
    = 4 (sin 240° + sin 90°)
    = 4 (-√3 / 2 + 1)
    = 4 - 2√3

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