nilai cos 150°+ sin 45° - 1/2 cot (-330°) adalah
Matematika
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Pertanyaan
nilai cos 150°+ sin 45° - 1/2 cot (-330°) adalah
2 Jawaban
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1. Jawaban helenih
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 :) -
2. Jawaban arsetpopeye
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)