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Problem
Problem
The maximum value of the expression
1
sin
2
θ
+
3
sin
θ
cos
θ
+
5
cos
2
θ
\frac{1}{\sin^2 \theta + 3 \sin \theta \cos \theta + 5 \cos^2 \theta}
s
i
n
2
θ
+
3
s
i
n
θ
c
o
s
θ
+
5
c
o
s
2
θ
1
is .....
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