Matematika

Pertanyaan

No 3 jawab pake cara
No 3 jawab pake cara

1 Jawaban

  • sin a = 4/5
    cos^2 a = 1 - sin^2 a = 1 - (4/5)^2 = 1 - 16/25 = 9/25
    cos a = √(9/25) = 3/5

    sin b = 12/13
    cos^2 b = 1 - sin^2 b = 1 - (12/13)^2 = 1 - (144/169) = 25/169
    Cos b = √(25/169) = 5/13

    Cos (a + b) = cos a cos b - sin a sin b
    = 3/5 . 5/13 - 4/5 . 12/13
    = 15/65 - 48/65
    = -33/65