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9
Minimum value of trig expression
Minimum value of trig expression
Source:
November 4, 2005
trigonometry
inequalities
calculus
AIME
Problem Statement
Find the minimum value of
9
x
2
sin
2
x
+
4
x
sin
x
\frac{9x^2 \sin^2 x + 4}{x \sin x}
x
sin
x
9
x
2
sin
2
x
+
4
for
0
<
x
<
π
0 < x < \pi
0
<
x
<
π
.
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