The Bermuda Triangle , Beware !

Geometry Level 4

The side of a triangle in a given circle subtends angles a ,b ,c at the centre. The minimum value of the arithmetic mean of c o s ( a / 2 ) cos \ (a/2) , c o s ( b / 2 ) cos \ (b/2) , c o s ( c / 2 ) cos \ (c/2) is equal to ?

Round your answer to three decimal digits !. Good Luck!


The answer is -0.866.

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