Trigonometric Ratios And Identities

The sides of a triangle inscribed in a given circle subtend angles \(\alpha, \beta, \gamma\) at the center. The minimum value of the AM 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