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5
2004 Algebra #5
2004 Algebra #5
Source:
December 26, 2011
trigonometry
quadratics
Problem Statement
There exists a positive real number
x
x
x
such that
cos
(
arctan
(
x
)
)
=
x
\cos (\arctan (x)) = x
cos
(
arctan
(
x
))
=
x
. Find the value of
x
2
x^2
x
2
.
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