Sin²120°×cos²135°/cot 60°×sec 60°
Matematika
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Pertanyaan
Sin²120°×cos²135°/cot 60°×sec 60°
2 Jawaban
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1. Jawaban ErikCatosLawijaya
Mapel : Matematika
Kelas : X SMA
Bab : Trigonometri
Pembahasan :
(Sin² 120 x Cos² 135)/(Cot 60 x Sec 60)
= [(Sin 120)² x (Cos 135)²]/(Cot 60 x Sec 60)
= [(1/2 √3)² x (- 1/2 √2)²]/[(1/3 √3) x 2]
= [(3/4 x 1/2)]/[2/3 √3]
= (3/8)/(2/3 √3)
= (9/8)/(2√3)
= (9/16)/√3
= (9/16 √3)/3
= 9/48 √3
= 3/16 √3 -
2. Jawaban Anonyme
Bab Trigonometri
Matematika SMA Kelas X
sin² 120° x cos 135° / (cot 60° x sec 60°)
= (1/2 √3)² x (-1/2 √2)² / (1/√3 x 2)
= (3/4 x 1/2) x (√3)/2
= (3/16)√3