1989 OIM Problems/Problem 2
Problem
Let 
, 
, 
three real numbers such that 
. Prove the following inequality:
![\[\frac{\pi}{2}+2sin(x)cos(y)+2sin(y)cos(z) > sin(2x)+sin(2y)+sin(2z)\]](http://latex.artofproblemsolving.com/2/a/5/2a5aec67265771ac0a20fd0736250785787e0584.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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