Matematika

Pertanyaan

nilai cos 150°+ sin 45° - 1/2 cot (-330°) adalah

2 Jawaban

  • cos(180-30)° + sin45° - ½ cot(360-30)°
    = cos(-30°) + √2 /2 - ½ * 1/tan(-30°)
    = √3 /2 + √2 /2 - ½ * 3/√3
    = ½(√3 + √2) - ½√3
    = ½ (√3 + √2 - √3)
    = ½√2

    semoga membantu :)
  • cos 150° + sin 45° - 1/2 cot (-330°)
    = cos (180° - 30°) + sin 45° + 1/2 cot 330°
    = - cos 30° + sin 45° + 1/2 cot (270° + 60°)
    = - cos 30° + sin 45° + 1/2 . - Tan 60°
    = -1/2 √3 + 1/2 √2 - 1/2 √3
    = 1/2 √2 - √3

    = 1/2 (√2 - 2√3)

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