Matematika

Pertanyaan

Tolong dibantu ya :) Hanya 1 pertanyaan
Tolong dibantu ya :) Hanya 1 pertanyaan

1 Jawaban

  • Ingat sudut Relasi :
    sin (90 - x) = cos x atau sin (π/2 - x) = cos x

    Lim (1 - sin x)/(x - 1/2 π)
    = Lim (1 - sin x)/(x - π/2) . (1 + sin x)/(1 + sin x)
    = Lim (1 - sin^2 x)/(x - π/2)(1 + sin x)
    = Lim (cos^2 x)/(x - π/2)(1 + sin x)
    = Lim (sin^2 (π/2 - x)) / (x - π/2)(1 + sin x)
    = Lim (sin (π/2 - x))/-(π/2 - x) . (sin (π/2 - x))/(1 + sin x)
    = 1/(-1) . (sin (π/2 - π/2)) / (1 + sin π/2)
    = -1 . (sin 0)/(1 + 1)
    = -1 . 0/2
    = 0