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If \( \alpha, \beta \) are roots of \( z^{2} \sin ^{2} \theta-z \sin 2 \theta+1=0 \) where \( 0\theta\pi / 2 \) and \( n \) is an integer, then value of
Column 1
Column 2
(a) \( (\alpha \beta)^{n} \)
(p) \( 2^{n} \cot ^{n} \theta \)
(b) \( (\alpha+\beta)^{n} \)
(q) \( \operatorname{cosec}^{2 n} \theta \)
(c) \( \alpha^{n}+\beta^{n} \)
(r) \( 2 \operatorname{cosec}^{n} \theta \cos (n \theta) \)
(d) \( |\alpha|^{n}+|\beta|^{n} \)
(s) \( 2 \operatorname{cosec}^{n} \theta \)
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