Nilai sin 150 + sin 12 --------------------------- = Cos 210 - cos 300 A. 2 D.1/2 B. 1 E. -1 C. 0 Beri caranya ya
Matematika
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Pertanyaan
Nilai sin 150 + sin 12
--------------------------- =
Cos 210 - cos 300
A. 2 D.1/2
B. 1 E. -1
C. 0
Beri caranya ya
--------------------------- =
Cos 210 - cos 300
A. 2 D.1/2
B. 1 E. -1
C. 0
Beri caranya ya
2 Jawaban
-
1. Jawaban arsetpopeye
(sin 150° + sin 120°)/(cos 210° - cos 300°)
= (sin 30° + sin 60°)) / (- cos 30° - cos 60°)
= (1/2 + 1/2 √3) / (-1/2 √3 - 1/2)
= (1/2 + 1/2 √3) / -1(1/2 + 1/2 √3)
= -1 -
2. Jawaban fadillahzd
sin 150 = sin ( 180 -30)
= sin (30)
sin 1/2
sin 120 = sin 180 -60)
sin = 1/2√3
sin 1/2 + 1/2 √3= 1
cos 270= cos (180+90)
cos 90 =0
cos 300 = -cos (360 - 60)
cos 60 = -cos 1/2
cos 270 +cos 300
0 +-1/2
= 1/2
(1/2+1/2√3) 1/2= 2(1/2+1/2√3)= 1+√3