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3

Part of 1990 Swedish Mathematical Competition

Problems(1)

sin x + sin a >= b cos x

Source: 1990 Swedish Mathematical Competition p3

4/2/2021
Find all a,ba, b such that sin⁡x+sin⁡a≥bcos⁡x\sin x + \sin a\ge b \cos x for all xx.
inequalitiesalgebratrigonometry