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Question Number 170115 by Shrinava last updated on 16/May/22

$$\mathrm{In}△\mathrm{ABC}\mathrm{then}:$$$$\frac{\cos \frac{\mathrm{A}}{2}\cdot \cos \frac{\mathrm{B}}{2}\cdot \cos \frac{\mathrm{C}}{2}}{(1-\sin \frac{\mathrm{A}}{2})\cdot (1-\sin \frac{\mathrm{B}}{2})\cdot (1-\sin \frac{\mathrm{C}}{2})}⩾3\sqrt{3}$$

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