Matematika

Pertanyaan

tolong yang bisa bantu, kalo bisa pake caranya
tolong yang bisa bantu, kalo bisa pake caranya

1 Jawaban

  • Nilai funghsi trigonometri
    sin120  = sin (180-60) =sin 60 = 1/2 √3
    sin 150 = sin(180-30) = sin 30 = 1/2
    cos 330 = cos (360 - 30) = cos 30= 1/2√3
    cos 240 = cos (180+60) =- cos 60 = - 1/2

    (sin 120 + sin 150) / (cos 330 + cos 240)=
    = ( 1/2 √3 + 1/2)/ (1/2 √3 - 1/2) kalikan 2/2
    = (√3 + 1)/(√3 -1) ...kalikan (√3 -1)/(√3-1)
    = (3 - 1)/ (2 + 2√3)
    = 2/(2 + 2√3)
     = 1/(1 + √3) ...kalikan (1 - √3)/(1 -√3)
    = (1 - √3)/(1 -3)
    = (1 - √3)/ (-2)
    = - 1/2  + 1/2√3