jika nilai sin 2x =1/3 √5 dan 90° < 2x <180° nilai cos x adapah
Matematika
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Pertanyaan
jika nilai sin 2x =1/3 √5 dan 90° < 2x <180° nilai cos x adapah
1 Jawaban
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1. Jawaban Anonyme
Interval : 90° < 2x < 180°
Kuadran II : sin (+) , cos (-)
sin 2x = 1/3 √5
cos 2x = √(1 - sin² 2x)
cos 2x = √(1 - 5/9)
cos 2x = √(4/9)
cos 2x = -2/3
cos 2x = -2/3
2cos² x - 1 = -2/3
2cos² x = 1 - 2/3
cos² x = (1/3)/2
cos² x = 1/6
cos x = √1/6
cos x = 1/6 √6