Matematika

Pertanyaan

bantu jawab pake cara ya,besok di kumpulin
bantu jawab pake cara ya,besok di kumpulin

1 Jawaban

  • 0 < x < 2π

    2 sin^2 x + sin x - 1 = 0 (misal sin x = y
    2y^2 + y - 1 = 0
    (2y - 1)(y + 1) = 0

    @
    2y - 1 = 0
    2y = 1
    y = 1/2
    sin x = 1/2
    x = 30 & 150

    @
    y + 1 = 0
    y = - 1
    sin x = - 1
    x = 270

    karena syaratnya 0 < x < 2π
    maka, x = 30, 150, 270 = 1/6π, 5/6π, 3/2π