Matematika

Pertanyaan

Sin a = 3/5
Coa b = 7/25
a tumpul dan b lancip
Maka cos (a-b) =

1 Jawaban

  • jawab

    sin A = 3/5= y/r
    x = √(r²-y²)
    x = √(5²-3²)
    x= 4
    <A tumpul → cos A = - x/r = - 4/5

    Cos B = 7/25 = x/r
    y = √(r² -x²)
    y = √(25²-7²)
    y = 24
    <B lancip,→ sin B = y/r = 24/25

    cos (A -B) = cos A cos B + sin A sin B
    = -4/5. 7/25 + 3/5 . 24/25
    = - 28/125 + 72/25
    = 44/25

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