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3
2009 Algebra #3 - Sum of Tangents
2009 Algebra #3 - Sum of Tangents
Source:
January 2, 2012
trigonometry
AMC
AIME
Problem Statement
If
tan
x
+
tan
y
=
4
\tan x + \tan y = 4
tan
x
+
tan
y
=
4
and
cot
x
+
cot
y
=
5
\cot x + \cot y = 5
cot
x
+
cot
y
=
5
, compute
tan
(
x
+
y
)
\tan(x + y)
tan
(
x
+
y
)
.
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