Mathematics
The sides of a triangle inscribed in a given circle subtend angles
\(\alpha,\beta\) and \(\gamma\) at the centre. The minimum value of
the arithmetic mean of
\(cos\left( \alpha + \frac{\pi}{2} \right),cos\left( \beta + \frac{\pi}{2} \right)\)
and \(cos\left( \gamma + \frac{\pi}{2} \right)\) is equal
to..............
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