Jika p sinx + cos x = 1 dan q sin x - cos x = 1, nilai pq =
Matematika
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Pertanyaan
Jika p sinx + cos x = 1 dan q sin x - cos x = 1, nilai pq =
1 Jawaban
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1. Jawaban arsetpopeye
p sin x + cos x = 1 => p sin x = 1 - cos x
q sin x - cos x = 1 => q sin x = 1 + cos x
p sin x . q sin x = (1 - cos x)(1 + cos x)
pq sin^2 x = 1 - cos^2 x
pq sin^2 x = sin^2 x
pq = (sin^2 x)/(sin^2 x)
pq = 1