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1976 Poland - Second Round
5
cos \pi x =1/3 then x is irrational
cos \pi x =1/3 then x is irrational
Source: Polish MO Second Round 1976 p5
September 8, 2024
algebra
trigonometry
rational
irrational
Problem Statement
Prove that if
cos
π
x
=
1
3
\cos \pi x =\frac{1}{3}
cos
π
x
=
3
1
then
x
x
x
is an irrational number.
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