Matematika

Pertanyaan

dik : sin teta 5 per 7
tentukan :
a. cos teta
b.. tan teta
c. sec teta
d. cosec teta
e. cot teta

1 Jawaban

  • Bab Trigonometri
    Matematika SMA Kelas X

    sin a = 5/7 = y/r
    x = √(r² - y²)
    x = √(7² - 5²)
    x = √(49 - 25)
    x = √24
    x = 2√6

    a] cos a = x/r
    cos a = (2√6)/7
    cos a = (2/7) √6

    b] tan a = y/x
    tan a = 5 / (2√6)
    tan a = (5/12) √6

    c] sec a = 1/cos a
    sec a = 7/(2√6)
    sec a = (7/12) √6

    d] cosec a = 1/sin a
    cosec a = 7/5

    e] cot a = 1/ tan a
    cot a = 12/(5√6)
    cot a = (2/5) √6

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