cos 150° + sin 45° + 1/2 cot (-330°) = .....
Matematika
maulanaalvaroby07
Pertanyaan
cos 150° + sin 45° + 1/2 cot (-330°) = .....
2 Jawaban
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1. Jawaban nuadelia
cos 150° + sin 45° + 1/2 cot (-330°) = .....
cos150°= -cos30=- 1/2 √3
sin 45° = 1/2 √2
cot (-330°) =-cot330°= cot 30°= √3
=- 1/2 √3 + 1/2 √2 + 1/2 × √3
=- 1/2 √3 + 1/2 √2 + 1/2√3
= 1/2 √2 -
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