If \( (\sin \alpha) x^{2}-2 x+b \geq 2 \) for all the real values of \( x \leq 1 \) and \( \alph...

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If \( (\sin \alpha) x^{2}-2 x+b \geq 2 \) for all the real values of \( x \leq 1 \) and \( \alpha \in(0, \pi / 2) \cup(\pi / 2, \pi) \), then the possible real values of \( b \) is/are
(a) 2
(b) 3
(c) 4
(d) 5
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