cos 2x-3cosx+2=0, 0
Matematika
masfaridz
Pertanyaan
cos 2x-3cosx+2=0, 0<x<2phi
plis jawab
plis jawab
1 Jawaban
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1. Jawaban Anonyme
TRIgonomeTRI
cos 2x - 3cos x + 2 = 0
2cos² x - 1 - 3cos x + 2 = 0
2cos² x - 3cos x + 1 = 0
(2cos x - 1)(cos x - 1) = 0
2cos x - 1 = 0
cos x = 1/2 ---> x = 60° ; x = 300°
cos x - 1 = 0
cos x = 1 ---> x = 0° ; x = 360°
Interval : 0° < x < 360°
Nilai x yg memenuhi :
60° dan 300°