Matematika

Pertanyaan

Trigonometri Kelas XI
Trigonometri Kelas XI

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2 Jawaban

  • sin A = 45
    sin B = 15

  • jawab

    A + B = 60
    A - B = 30 ||(+)

    2A = 90
    A = 45

    A + B = 60
    45 + B = 60
    B = 15

    sin A sin B = sin 45 sin 15
    = -1/2 ( -2 sin 45 sin 15)
    = - 1/2 { cos (45+15) - cos(45-15)}
    = -1/2  { cos 60 - cos 30)
    = - 1/2 (1/2 - 1/2 √3)
    =  -1/4  + 1/4 √3
    = 1/4 (√3 - 1)

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