Tolong dibantu ya :) Hanya 1 pertanyaan
Matematika
Agungfahrizals
Pertanyaan
Tolong dibantu ya :) Hanya 1 pertanyaan
1 Jawaban
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1. Jawaban arsetpopeye
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