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Source:
January 27, 2006
trigonometry
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Problem Statement
Determine the sum of angles
A
,
B
,
A,B,
A
,
B
,
where
0
∘
≤
A
,
B
,
≤
18
0
∘
0^\circ \leq A,B, \leq 180^\circ
0
∘
≤
A
,
B
,
≤
18
0
∘
and
sin
A
+
sin
B
=
3
2
,
cos
A
+
cos
B
=
1
2
\sin A + \sin B = \sqrt{\frac{3}{2}}, \cos A + \cos B = \sqrt{\frac{1}{2}}
sin
A
+
sin
B
=
2
3
,
cos
A
+
cos
B
=
2
1
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