If the maximum value of expression \( \frac{1}{5 \sec ^{2} \theta-\...

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If the maximum value of expression \( \frac{1}{5 \sec ^{2} \theta-\tan ^{2} \theta+4 \operatorname{cosec}^{2} \theta} \) is equal to \( \frac{p}{q} \) (where \( p \)
\( \mathrm{P} \)
and \( q \) are coprime), then the value of \( (p+q) \) is
(1) 14
(2) 15
(3) 16
(4) 18
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