Matematika

Pertanyaan

Jawab pake cara No 3
Jawab pake cara No 3

2 Jawaban

  • sin α = 4 / 5

    maka
    sisi depan = 4
    sisi miring = 5
    sisi samping = √5² - 4² = √25-16 = √9 = 3

    cos α = 3/5

    sin β = 12/13
    maka
    sisi depan = 12
    sisi miring = 13
    sisi samping = √13² - 12² = √169 - 144 = √25 = 5

    cos β = 5/13   

    cos (α+β) = cos α . cos β - sin α . sin β
                    = 3/5 . 5/13 - 4/5 . 12/13
                    = 15/65 - 48/65
                    = - 33/65

  • Sin a = 4/5
    Cos a = 3/5

    Sin β = 12/13
    Cos β = 5/13

    Maka...
    Cos (a + β)
    = Cos a Cos β - Sin a Sin β
    = (3/5)(5/13) - (4/5)(12/13)
    = 3/13 - 48/65
    = 15/65 - 48/65
    = -33/65