Which of the following pair, may represent the eccentricities of two conjugate hyperbolas, for a...

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Which of the following pair, may represent the eccentricities of two conjugate hyperbolas, for all \( \alpha \in(0, \pi / 2) \) ?
(A) \( \sin \alpha, \cos \alpha \)
(B) \( \tan \alpha, \cot \alpha \)
(C) \( \sec \alpha, \operatorname{cosec} \alpha \)
(D) \( 1+\sin \alpha, 1+\cos \alpha \)
\( \mathrm{P} \)
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