Functii trigonometrice

Moderators: Laurian Filip, Beniamin Bogosel, Filip Chindea

Post Reply
alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Functii trigonometrice

Post by alex2008 »

Sa se arate ca \( (\forall)m,n \in \mathbb{N} \) , \( m,n\ge 2 \) avem \( \sin^mx+\cos^nx\le 1 \) , \( (\forall)x\in \mathbb{R} \) .
. A snake that slithers on the ground can only dream of flying through the air.
Top
Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

\( LHS\le |\sin x|^m+|\cos x|^n\le |\sin x|^2+|\cos x|^2=1 \)
Top
Post Reply

Return to “Clasa a IX-a”