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PEN G Problems
25
G 25
G 25
Source:
May 25, 2007
trigonometry
algebra
polynomial
induction
Irrational numbers
Problem Statement
Show that
tan
(
π
m
)
\tan \left( \frac{\pi}{m} \right)
tan
(
m
π
)
is irrational for all positive integers
m
≥
5
m \ge 5
m
≥
5
.
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