Matematika

Pertanyaan

nomor 2 dan 4 tolong diantu kak
nomor 2 dan 4 tolong diantu kak

1 Jawaban

  • 2.
    sin A = 3/5
    cos A = 4/5

    tan B = 1/7

    x^2 = 1^2 + 7^2 = 1 + 49 = 50
    x = 5 akar 2

    sin B = 1/(5 akar 2)
    cos B = 7/(5 akar 2)

    sin (A + B)
    = sinA cosB + cosA sinB
    = 3/5 × 7/(5 akar 2) + 4/5 × 1/(5 akar 2)
    = 21/(25 akar 2) + 4/(25 akar 2)
    = 25/(25 akar 2)
    = 1/(akar 2)
    = 1/2 akar 2

    sin 45 = 1/2 akar 2
    A+B = 45 = 1/4 phi

    4.
    10/sin 45 = AC/sin30
    AC = 10/(1/akar2) × 1/2
    AC = 5 akar2

    BC^2 = AB^2 + AC^2 - 2.AB.BC.cos 60
    BC^2
    = (10 akar2)^2 + (5 akar 2)^2 - 2 . 10akar2 . 5akar2 . 1/2
    = 200 + 50 + 100
    = 350
    BC = 25 akar 14