(2 sin60 + cos 60)^2 + (sin 60 - 2 cos 60)^2
Matematika
ernayanti404
Pertanyaan
(2 sin60 + cos 60)^2 + (sin 60 - 2 cos 60)^2
1 Jawaban
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1. Jawaban DB45
Nilai fungsi trigonometri
sin 60 = 1/2 √3 --> 2 sin 60 = √3
cos 60 = 1/2 --> 2 cos 60 = 1
(2 sin 60 + cos 60)² + (sin 60 - 2 cos 60)² =
= (√3 + 1/2)² + (1/2 √3 - 1)²
= 3+ √3 + 1/4 + 3/4 - √3 +1
= 3 + 1 + 1/4 + 3/4
= 4 + 4/4
= 4 + 1
= 5