This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 1

1995 India Regional Mathematical Olympiad, 7

Show that for any real number $x$: \[ x^2 \sin{x} + x \cos{x} + x^2 + \frac{1}{2} > 0 . \]