Jika tanx -3sin²x=0,maka buktikan: Sin²2x=4/9
Matematika
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Pertanyaan
Jika tanx -3sin²x=0,maka buktikan:
Sin²2x=4/9
Sin²2x=4/9
1 Jawaban
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1. Jawaban Anonyme
tan x - 3sin² x = 0
sin x /cos x = 3 sin² x
1/cos x = 3 sin x
3 sin x cos x = 1
sin x cos x = 1/3 ... Kdua ruas × 2
2 sin x cos x = 2/3
sin 2x = 2/3
sin² 2x = (2/3)²
sin² 2x = 4/9
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