Matematika

Pertanyaan

jika sin a = 4/5 tentukan sec a, csc a dan tan a

2 Jawaban

  • sin a = de/mi
    de = 4
    mi = 5
    Maka sa = 3 (Triple Phytagoras)

    sec a = mi/sa = 5/3
    csc a = mi/de = 5/4
    tan a = de/sa = 4/3
  • Bab Trigonometri
    Matematika SMA Kelas X

    sin a = 4/5

    cos a = √(1 - sin² a)
    cos a = √(1 - (4/5)²)
    cos a = √(1 - 16/25)
    cos a = √((25 - 16)/25)
    cos a = √(9/25)
    cos a = 3/5

    1] sec a = 1 : cos a
    sec a = 1 : 3/5
    sec = 5/3

    2] cosec a = 1 : sin a
    cosec a = 1 : 4/5
    cosec a = 5/4

    3] tan a = sin a : cos a
    tan a = 4/5 : 3/5
    tan a = 4/5 x 5/3
    tan a = 4/3


     

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