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Functii trigonometrice
Posted:
Tue Feb 17, 2009 8:17 pm
by
alex2008
Sa se arate ca
\( (\forall)m,n \in \mathbb{N} \)
,
\( m,n\ge 2 \)
avem
\( \sin^mx+\cos^nx\le 1 \)
,
\( (\forall)x\in \mathbb{R} \)
.
Posted:
Wed Feb 18, 2009 12:58 am
by
Marius Mainea
\( LHS\le |\sin x|^m+|\cos x|^n\le |\sin x|^2+|\cos x|^2=1 \)