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Mathematics
Mathematics
Problem
If the maximum value of the expression
1
5
sec
2
θ
−
tan
2
θ
+
4
csc
2
θ
\frac{1}{5 \sec^2 \theta - \tan^2 \theta + 4 \csc^2 \theta}
5
s
e
c
2
θ
−
t
a
n
2
θ
+
4
c
s
c
2
θ
1
is equal to
p
q
\frac{p}{q}
q
p
(where,
p
p
p
and
q
q
q
are coprime), then the value of
(
p
+
q
)
(p + q)
(
p
+
q
)
is a. 14 b. 15 c. 16 d. 18
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