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3
Tangents and Cotangents
Tangents and Cotangents
Source:
December 22, 2005
trigonometry
AMC
AIME
Problem Statement
If
tan
x
+
tan
y
=
25
\tan x+\tan y=25
tan
x
+
tan
y
=
25
and
cot
x
+
cot
y
=
30
\cot x + \cot y=30
cot
x
+
cot
y
=
30
, what is
tan
(
x
+
y
)
\tan(x+y)
tan
(
x
+
y
)
?
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