Matematika

Pertanyaan

tolong dijawab ya soal no 1-2 bagi yang tau caranya tolong di isi ya
tolong dijawab ya soal no 1-2 bagi yang tau caranya tolong di isi ya

1 Jawaban

  • Trigonometri

    cot B = cos b/sin B
    sec B = 1/cos B

    (1 + cot² B)/(cot B . sec² B) =
    = (1 +  cos² B/sin B) / ( cos B/sin B . 1/cos² B) =
    = (1+ cos² B/sin B) / (1/(sin B cos B)  ...kalikan sin²B/sin²B
    = sin² B(1 + cos²B/sinB) / sin² B(1/(sin B cos B)
    = (sin² B + cos² B) / (sin B/cos B)
    = 1/ (tan B)
    = cot B

    2. ΔABC siku siku di A

    AB = x+1
    AC = x+ 8
    BC = 2x+3

    Luas Δ ABC = 60
    1/2 (AB)(AC) = 60
    AB. AC = 60
    (x+8)(x+1) = 60
    x² - 9x + 8 - 60 = 0
    x² - 9x - 52 =0
    (x - 13)(x + 4) = 0
    x = 13  atau x  = - 4 (tidak memenuhi)

    Keliling = AB +AC + BC
    K = x+8 + x + 1 + 2x+ 3
    K = 4x + 12
    K = 4(13) + 12
    K = 52 + 12
    K = 64 cm