Comprehension \( \quad \) Consider the cubic equation \( x^{3}-(1 \) \( +\cos \theta+\sin \theta...

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Comprehension \( \quad \) Consider the cubic equation \( x^{3}-(1 \) \( +\cos \theta+\sin \theta) x^{2}+(\cos \theta \sin \theta+\cos \theta+\sin \theta) x-\sin \theta \cos \theta= \) 0 where \( x_{1}, x_{2}, x_{3} \) are roots.
Number of values of \( \theta \) in \( [0,2 \pi] \) for which at least two roots are equal
(a) 3
(b) 4
(c) 5
(d) 6
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