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PEN F Problems
15
F 15
F 15
Source:
May 25, 2007
trigonometry
algebra
polynomial
rational numbers
Problem Statement
Find all rational numbers
k
k
k
such that
0
≤
k
≤
1
2
0 \le k \le \frac{1}{2}
0
≤
k
≤
2
1
and
cos
k
π
\cos k \pi
cos
kπ
is rational.
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