diketahui sin x cos x= 3/8 nilai 1/sin x - 1/cos x adalah..
Matematika
denisa42
Pertanyaan
diketahui sin x cos x= 3/8 nilai 1/sin x - 1/cos x adalah..
1 Jawaban
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1. Jawaban ShanedizzySukardi
Materi trigonometri
(cos x - sin x)^2 = cos^2 x + sin^2 x - 2 sin x cos x = 1 - 2 × 3/8 = 1 - 3/4 = 1/4
(cos x - sin x) = 1/2
1/sin x - 1/cos x = (cos x - sin x) / sin x cos x
= (1/2) / (3/8) = 1/2 × 8/3 = 4/3