If \( \sin \theta+\cos \theta=\mathrm{p} \) and \( \sec \theta+\operatorname{cosec} \theta=\math...

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If \( \sin \theta+\cos \theta=\mathrm{p} \) and \( \sec \theta+\operatorname{cosec} \theta=\mathrm{q} \), the value of \( \mathrm{q}\left(\mathrm{p}^{2}-1\right) \) is
a. \( 2 q \)
b. \( 2 \mathrm{p} \)
c. 1
d. \( \mathrm{p}-\mathrm{q} \)
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