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MathNet 2002 — Part 01 Question 69

Math Olympiad Vault · MathNet 2002 — Part 01

Question 69

If the inequality
$$
sin^2 x + a \cos x + a^2 \ge 1 + \cos x
$$
holds for any $x \in \mathbb{R}$, the range of values for negative $a$ is
______.