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National and Regional Contests
Bosnia Herzegovina Contests
Regional Olympiad - Republic of Srpska
2004 Regional Olympiad - Republic of Srpska
2
sin ineq
sin ineq
Source: RS2004
March 20, 2005
inequalities
trigonometry
inequalities proposed
Problem Statement
Let
0
<
x
<
π
/
2
0<x<\pi/2
0
<
x
<
π
/2
. Prove the inequality
sin
x
>
4
x
x
2
+
4
.
\sin x>\frac{4x}{x^2+4} .
sin
x
>
x
2
+
4
4
x
.
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