Matematika

Pertanyaan

Materi TRIGONOMETRI
Tingkat X SMA
Materi TRIGONOMETRI Tingkat X SMA

2 Jawaban

  • 2 cos (2x + 5/6phi) = akar3
    cos (2x + 5/6phi) = 1/2akar3

    nilai 1/2akar3 ada di kuadran 1 dan 4, yaitu 30' dan 330'

    2x + 5/6.180
    2x + 150 = 330
    2x = 180
    x = 90
    x = 1/2phi

    2x + 150 = 30
    2x = -120
    x = -60
    x = 300
    x = 120
    x = 2/3phi

    #CMIIW

  • 2 cos (2x +5/6 μ) = √3
    cos (2x + 150 ) = 1/2 √3

    catatan :
    0 <= x >= 180˚


    cos 330˚ = 1/2 √3
    cos ( 360 + 30 ) = 1/2 √3


    o> cos ( 2x + 150) = cos 330
    2x + 150 = 330
    2x = 330 - 150
    2x = 180
    x = 90
    x = 1/2 μ

    o> cos (2x + 150) = cos ( 360 + 30)
    2x + 150 = 360 + 30
    2x + 150 = 390
    2x = 240
    x = 120
    x = 2/3 μ

    Hp ( 1/2 μ , 2/3 μ ) .........B