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National and Regional Contests
Moldova Contests
Chisinau City MO
1977 Chisinau City MO
153
153
Part of
1977 Chisinau City MO
Problems
(1)
Chisinau MO p153 1977 X tan (\pi / 3^n) is irrational
Source:
3/17/2021
Prove that the number
tan
π
3
n
\tan \frac{\pi}{3^n}
tan
3
n
π
is irrational for any natural
n
n
n
.
irrational
algebra
trigonometry