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Inegalitate cu sin si cos

Posted: Mon May 18, 2009 10:37 am
by Mateescu Constantin
Sa se arate ca pentru orice \( x\in \mathbb{R} \) avem inegalitatea:

\( \sin (\sin^{2}x)+\cos(\cos^{2}x)>\frac{1}{2}. \)

Posted: Mon May 18, 2009 10:59 am
by DrAGos Calinescu
Incearca \( \cos(\cos^2 x)>\frac{1}{2}. \)