Matematika

Pertanyaan

diketahui sin A=3/5 dan cos B=5/13 .hitunglah nilai :sin A.cos B+CosA.Sin B

1 Jawaban

  • sinA = 3/5 ← y = 3 dan r = 5
    x = √(r² - y²) = 4
    cosA = x/r = 4/5
    cosB = 5/13, x = 5 dan r = 13
    y = √(r² - x²) = 12
    sinB = y/r = 12/13
    sinA cosB + cosA sinB = (3/5)(5/13) + (4/5)(12/13)
    = 63/65

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