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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
10.1
min n, sin n = sin (1997n) (III Soros Olympiad 1996-97 R3 10.1)
min n, sin n = sin (1997n) (III Soros Olympiad 1996-97 R3 10.1)
Source:
May 31, 2024
trigonometry
algebra
Problem Statement
Find the smallest natural number
n
n
n
for which the equality
sin
n
o
=
sin
(
1997
n
)
o
\sin n^o= \sin (1997n)^o
sin
n
o
=
sin
(
1997
n
)
o
holds.
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