Prove that in any triangle ABC, 8.cos(A).cos(B).cos(C) < 1.
(In reply to
This problem needs some formatting changes... by Erik O.)
The periods are multiplication signs of a European vogue. The
problem statement is incorrect only in that equality is also possible,
as David Shin has pointed out. The product of the cosines of the three
angles of a triangle does not exceed .125, although a short
ultra-elementary proof seems to me to be very elusive.
|
|
Posted by Richard
on 2005-03-23 03:07:33 |
re: This problem needs some formatting changes...
