Matematika

Pertanyaan

Sin²120°×cos²135°/cot 60°×sec 60°

2 Jawaban

  • 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
  • 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

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