nilai dari 4 sin 80°sin140°sin 200°
Matematika
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Pertanyaan
nilai dari 4 sin 80°sin140°sin 200°
1 Jawaban
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1. Jawaban MilaniaFT
4 sin 8°.sin 140°.sin 200°
= 4 sin 80°.sin 40°.(-sin20°)
= -4 (sin 80.sin 20) sin 40
= -4 (-1/2) (cos 100-cos 60) sin 40
= 2 (cos 100-1/2) sin 40
= (2 cos 100.sin 40)-sin 40
= (sin 140-sin 60)-sin 40
= sin 40-(akar 3)/2-sin 40
= -(akar 3)/2