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sin^2 x+psin x+q=0 (IV Soros Olympiad 1997-98 R2 10.4)

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June 1, 2024
trigonometryalgebra

Problem Statement

Draw on the plane (p,q)(p, q) all points with coordinates (p,q)(p,q), for which the equation sin⁡2x+psin⁡x+q=0\sin^2x+p\sin x+q=0 has solutions and all its positive solutions form an arithmetic progression.
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