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Trigonometry

Source: 2002 National High School Mathematics League, Exam One, Problem 12

March 16, 2020
trigonometry

Problem Statement

For all x∈Rx\in\mathbb{R}, sin⁡2x+acos⁡x+a2≥1+cos⁡x\sin^2 x+a\cos x+a^2\geq 1+\cos x, then the range value of negative number aa is________
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