Matematika

Pertanyaan

Tolong dong tugas mtk kls 11
Tolong dong tugas mtk kls 11

1 Jawaban

  • 2 cos 15 (sin 15 + cos 15) - 1 =
    = 2cos15sin15 + 2cos^2 15 - 1
    = sin 2(15) + 2 [cos(45-30)]^2 - 1
    = sin30 + 2[cos45cos30 + sin45sin30]^2 - 1
    = 1/2 + 2[(1/2 √2)(1/2 √3) + (1/2 √2)(1/2)]^2 - 1
    = -1/2 + 2[1/4 √6 + 1/4 √2]^2
    = -1/2 + 2[6/16 + 2/16 + 2/16 √12]
    = -1/2 + 2[1/2 + 1/4 √3]
    = -1/2 + 1 + 1/2 √3
    = 1/2 + 1/2 √3
    = 1/2[1+√3]

    Semoga membantu, tetap semangat
    Salam, Jkira