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Matematika
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Pertanyaan
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1 Jawaban
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1. Jawaban Anonyme
Bab Trigonometri
Matematika SMA Kelas X
A] sin 3.000° = sin (8 x 360° + 120°) = sin 120° = (1/2) √2
B] cos 2.400° = cos (6 x 360° + 240°) = cos 240° = -1/2
C] sin (5π/4) x tan (7π/4) - (cos 9π)²
= -1/2 √2 x (-1) - (-1)²
= 1/2 √2 - 1
D] (sin 3π/2 + cos π/2) / (2 tan π/6)
= (-1 + 0) / (2 x (1/√3))
= -1/(2/√3)
= -(1/2) √3
E] (sin 45° x cos 135° + tan² 120°) / (2 sin 60° x cos 30°)
= (1/2 √2 x (-1/2 √2) + (-√3)² ) / (2 x 1/2 √3 x 1/2 √3)
= (-1/2 + 3) : 3/2
= (-1/2 + 6/2) x 2/3
= (5/2) x (2/3)
= 5/3