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Tuymaada Olympiad
1994 Tuymaada Olympiad
5
smallest n so that sin ( 1/(n+1934) )< 1/1994
smallest n so that sin ( 1/(n+1934) )< 1/1994
Source: Tuymaada 1994 p5
September 28, 2018
inequalities
Trigonometric inequality
minimum
trigonometry
Problem Statement
Find the smallest natural number
n
n
n
for which
s
i
n
(
1
n
+
1934
)
<
1
1994
sin \Big(\frac{1}{n+1934}\Big)<\frac{1}{1994}
s
in
(
n
+
1934
1
ā
)
<
1994
1
ā
.
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