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16
Math Prize 2014 Problem 16
Math Prize 2014 Problem 16
Source:
September 29, 2014
trigonometry
LaTeX
vector
geometry
complex numbers
Problem Statement
If
sin
x
+
sin
y
=
96
65
\sin x + \sin y = \frac{96}{65}
sin
x
+
sin
y
=
65
96
and
cos
x
+
cos
y
=
72
65
\cos x + \cos y = \frac{72}{65}
cos
x
+
cos
y
=
65
72
, then what is the value of
tan
x
+
tan
y
\tan x + \tan y
tan
x
+
tan
y
?
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