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PEN G Problems
12
12
Part of
PEN G Problems
Problems
(1)
G 12
Source:
5/25/2007
An integer-sided triangle has angles
p
θ
p\theta
pθ
and
q
θ
q\theta
qθ
, where
p
p
p
and
q
q
q
are relatively prime integers. Prove that
cos
θ
\cos\theta
cos
θ
is irrational.
trigonometry
number theory
relatively prime
Irrational numbers