Matematika

Pertanyaan

tolong bantuin. tentukan cos gamma
tolong bantuin. tentukan cos gamma

1 Jawaban

  • TriGonoMetRi

    tan a = 0,75 = 3/4
    triple Pythagoras : 3,4,5
    sin a = 3/5
    cos a = 4/5

    cos b = 5/13
    triple Pythagoras : 5,12,13
    sin b = 12/13

    gamma = c
    a + b + c = 180°
    c = 180° - (a + b)

    cos c
    = cos (180° - (a + b))
    = - cos (a + b)
    = sin a sin b - cos a cos b
    = 3/5 . 12/13 - 4/5 . 5/13
    = (36 - 20)/65
    = 16/65