Matematika

Pertanyaan

Tolong ajarkan saya bagi yang tahu.
Tolong ajarkan saya bagi yang tahu.

1 Jawaban

  • Trigonometri

    cos A = 5/13
    sin A = 12/13
    tan A = 12/5
    cot A = 5/12

    sin B = 4/5
    cos B = - 3/5
    tan B = -4/3
    cot B = - 3/4

    a. (tan A - tan B) /(1 + tan A tan B)=
    = (12/5 + 4/3) /(1 + 12/5. (-4/3))
    = (12/5 + 4/3) /(1 - 48/15) .....(kalikan 15/15)
    = (36 + 20)/(15-48)
    = (56)/(-33)

    b.(cot A + cot B)/(1 - cot A cot B)=
    = (5/12 - 3/4) /(1 - (5/12)(-3/4))
    = (5/12 - 3/4)/(1 + 15/48) ......kalikan 48/48
    = (20-36)/(48 +15)
    = - 16/63