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The side of a triangle inscribed in a gi...

The side of a triangle inscribed in a given circle subtends angles `alpha,betaa n dgamma` at the centre. The minimum value of the arithmetic mean of `cos(alpha+pi/2),cos(beta+pi/2)` , and `cos(gamma+pi/2)` is equal to ____

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The correct Answer is:
`-sqrt(3)//2`
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