The sides of a triangle inscribed in a given circle subtend angles $\alpha, \beta$ and $\gamma$ at t

Question

The sides of a triangle inscribed in a given circle subtend angles $\alpha, \beta$ and $\gamma$ at the centre. Then 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 $A$ then $2 A+\sqrt{3}=$

Professor PC Thomas Classes · Answer

$\mathrm{AM} \geq \mathrm{GM}$