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RO-TST 1988 Problem 11

    Let x,y,zx,y,z be real numbers with x+y+z=0x+y+z=0 . Prove that ∣cos⁡x∣+∣cos⁡y∣+∣cos⁡z∣≥1.|\cos x |+ |\cos y| +| \cos z | \geq 1 . Viorel Vajaitu, Bogdan Enescu

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