Matematika

Pertanyaan

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1 Jawaban

  • KUADRAN III (sin -,cos -,tan +)
    x^2 = r^2 - y^2
    x^2 = 5^2 - 3^2
    x^2 = 25 - 9
    x^2 = 16
    x = akar 16
    x = 4
    sin a = -3/5
    cos a = -4/5
    tan a = 3/4

    KUADRAN II (sin +,cos -,tan -)
    y^2 = r^2 - x^2
    y^2 = 25^2 - 24^2
    y^2 = 625 - 576
    y^2 = 49
    y = akar 49
    y = 7
    cos b = -24/25
    sin b = 7/25
    tan b = -7/24

    cos a sin b + tan a tan b
    = -4/5(7/25) + 3/4(-7/24)
    = -28/125 - 21/96
    = -28/125 - 7/32
    = -896/4000 - 875/4000
    = -1771/4000 (c)