Buktikan identitas trigonometri berikut : 1) (sin x + cos x)² = 1 + 2 sin x cos x
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Pertanyaan
Buktikan identitas trigonometri berikut :
1) (sin x + cos x)² = 1 + 2 sin x cos x
1) (sin x + cos x)² = 1 + 2 sin x cos x
1 Jawaban
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1. Jawaban excarte
[tex] {( \sin(x) + \cos(x)) }^{2} \\ = { \sin(x) }^{2} + { \cos(x) }^{2} + 2 \sin(x) \cos(x) \\ = 1 + 2 \sin(x) \cos(x) [/tex]