Buktikan Identitas berikut (Sin x - cos x)²=1-2 sin x cos x
Matematika
asrhykha
Pertanyaan
Buktikan Identitas berikut (Sin x - cos x)²=1-2 sin x cos x
1 Jawaban
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1. Jawaban Robinn
(sinx - cosx)² = 1 - 2sinxcosx
(sinx-cosx)(sinx-cosx) = 1 - 2sinxcosx
sin²x - 2sinxcosx + cos²x = 1 - 2sinxcosx
sin²x + cos²x - 2sinxcosx = 1 - 2sinxcosx
1 - 2sinxcosx = 1 - 2sinxcosx