The minimum value of \( \left(1+\frac{1}{\sin ^{n} \alpha}\right)\l...

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The minimum value of \( \left(1+\frac{1}{\sin ^{n} \alpha}\right)\left(1+\frac{1}{\cos ^{n} \alpha}\right) \) is :
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(a) 1
(b) 2
(c) \( \left(1+2^{n / 2}\right)^{2} \)
(d) none of these
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