Let $a,b,c$ be the sides of $\triangle ABC$ and $x$ be any non-negative real number. Prove that,
\[ a^x \cos A+ b^x \cos B + c^x \cos C
\leq \dfrac{1}{2}(a^x+b^x+c^x) . \]
A Geometric Inequality
-
- Posts:12
- Joined:Sat Jun 13, 2015 1:46 pm
- Location:Halishahar, Chittagong
"Failure is simply the opportunity to begin again, this time more intelligently."
- Henry Ford
- Phlembac Adib Hasan
- Posts:1016
- Joined:Tue Nov 22, 2011 7:49 pm
- Location:127.0.0.1
- Contact: