buktikan sin4x = 4sinx cos³x - 4cosx sin³x
Matematika
smangka17
Pertanyaan
buktikan sin4x = 4sinx cos³x - 4cosx sin³x
1 Jawaban
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1. Jawaban SadonoSukirno
sin 4x = 2.sin 2x.cos2x
= 2.(2.sin x . cos x) . (cos²x - sin²x)
= (4 sin x cos x)(cos²x - sin²x)
= 4 sin x cos³x - 4 sin³x cos x