Matematika

Pertanyaan

berapa hasil dari Cos70°cos65°-sin70°sin65°

1 Jawaban

  • TriGonoMetRi

    Hy Nofi ... :)

    cos a cos b - sin a sin b = cos (a + b)

    ••
    cos 70° cos 65° - sin 70° sin 65°
    = cos (70° - 65°)
    = cos 15°

    cos 30° = cos 2(15°) = 2 cos² 15° - 1
    1/2 √3 + 1 = 2cos² 15°
    cos 15° = √((1 + 1/2 √3)/2)
    cos 15° = 1/2 √(2 + √3) ✔

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