Mathematics Inequalities

The range of k for which the inequality kcos2x - kcosx + 1 ≥ 0 ∀ x ∈ (-∞, ∞)

1
\(\left[\frac{-1}{2},4\right]\)
2
\(\left[\frac{-1}{2},0\right]\)
3
\(\left[0,4\right]\)
4
None of these

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