The equation \( (\cos p-1) x^{2}+(\cos p) x+(\sin p)=0 \) in the variable \( x \) has real roots...

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The equation \( (\cos p-1) x^{2}+(\cos p) x+(\sin p)=0 \) in the variable \( x \) has real roots. Then \( \mathrm{p} \) can take any value in the interval
(a) \( (0,2 \pi) \)
(b) \( (-\pi, 0) \)
(c) \( (-\pi / 2, \pi / 2) \)
(d) \( (0, \pi) \)
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