If the maximum value of the expression 15sec2θ−tan2θ+4cosec2θ is equal to pq (where, p and q are co-prime), then the value of (p + q) is

(4) y=5sec2θ−tan2θ+4cosec2θ=9+4(tan2θ+cot2θ)≥9+8 ⇒y≥17maximum value = 117=pq⇒p+q=18

If the maximum value of the expression 15sec2θ−tan2θ+4cosec2θ is equal to pq (where, p and q are co-prime), then the value of (p + q) is

(4) y=5sec2θ−tan2θ+4cosec2θ=9+4(tan2θ+cot2θ)≥9+8 ⇒y≥17maximum value = 117=pq⇒p+q=18

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If the maximum value of the expression $\frac{1}{5 \sec^{2} θ - \tan^{2} θ + 4 \cos e c^{2} θ}$ is equal to $\frac{p}{q}$ (where, p and q
are co-prime), then the value of (p + q) is

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(4) $y = 5 \sec^{2} θ - \tan^{2} θ + 4 \cos e c^{2} θ$
$= 9 + 4 (\tan^{2} θ + \cot^{2} θ) \geq 9 + 8 \Rightarrow y \geq 17$
maximum value = $\frac{1}{17} = \frac{p}{q}$
$\Rightarrow p + q = 18$

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If the maximum value of the expression 15sec2θ−tan2θ+4cosec2θ is equal to pq (where, p and q are co-prime), then the value of (p + q) is

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If the maximum value of the expression $\frac{1}{5 \sec^{2} θ - \tan^{2} θ + 4 \cos e c^{2} θ}$ is equal to $\frac{p}{q}$ (where, p and q
are co-prime), then the value of (p + q) is