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Cosines everywhere (Posted on 2005-03-21) Difficulty: 4 of 5
Prove that in any triangle ABC, 8.cos(A).cos(B).cos(C) < 1.

See The Solution Submitted by Federico Kereki    
Rating: 4.5000 (2 votes)

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re(2): This problem needs some formatting changes... | Comment 5 of 6 |
(In reply to re: This problem needs some formatting changes... by Richard)

We use dots to indicate multiplication in the US as well, but here we place the dots midway (vertically speaking).

2.3=6 doesn't look right to me, but 23=6 does.  You could also try using 23=6.  In these examples I use ascii(249) and ascii(250) respectively to get the dots placed in the middle.

a simple way to use these ascii characters is to hold down the "Alt" key while typing in the 3 digit ascii code, then release the "Alt" key.  (think of the "Alt" key like a "Shift" key).  Not all standard ascii characters are available using this method, but there's enough to get by.  Also, you must have "Num Lock" enabled on your keyboard before doing this.
  Posted by Erik O. on 2005-04-05 22:38:46

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