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MAA AMC
AMC 12/AHSME
1984 AMC 12/AHSME
23
sin 10,sin 20, cos 10, cos 20
sin 10,sin 20, cos 10, cos 20
Source:
October 16, 2005
trigonometry
Problem Statement
sin
1
0
∘
+
sin
2
0
∘
cos
1
0
∘
+
cos
2
0
∘
\frac{\sin 10^\circ + \sin 20^\circ}{\cos 10^\circ + \cos 20^\circ}
c
o
s
1
0
∘
+
c
o
s
2
0
∘
s
i
n
1
0
∘
+
s
i
n
2
0
∘
equals A.
tan
1
0
∘
+
tan
2
0
∘
\tan 10^\circ + \tan 20^\circ
tan
1
0
∘
+
tan
2
0
∘
B.
tan
3
0
∘
\tan 30^\circ
tan
3
0
∘
C.
1
2
(
tan
1
0
∘
+
tan
2
0
∘
)
\frac{1}{2} (\tan 10^\circ + \tan 20^\circ)
2
1
(
tan
1
0
∘
+
tan
2
0
∘
)
D.
tan
1
5
∘
\tan 15^\circ
tan
1
5
∘
E.
1
4
tan
6
0
∘
\frac{1}{4} \tan 60^\circ
4
1
tan
6
0
∘
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