Matematika

Pertanyaan

Nilai dariCos195°+cos465°+cos330°=

1 Jawaban

  • TriGonoMetRi

    cos a + cos b = 2 cos (a+b)/2 cos (a-b)/2

    ••
    cos 195 + cos 465 + cos 330
    = 2 cos 330 cos (-135) + cos 330
    = 2 cos 30° (- cos 45°) + cos 30°
    = 2 (1/2 √3)(-1/2 √2) + (1/2 √3)
    = (1/2 √3) (1 - √2)
    = (1/2)(√3 - √6) ✔

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