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Another trig ineq

Source: Indian RMO 1995 Problem 7

October 26, 2005
trigonometryOld RMOalgebra

Problem Statement

Show that for any real number xx: x2sin⁡x+xcos⁡x+x2+12>0. x^2 \sin{x} + x \cos{x} + x^2 + \frac{1}{2} > 0 .
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