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Question Number 172480 by Shrinava last updated on 27/Jun/22

$$\mathrm{In}\mathrm{acute}△\mathrm{ABC}\mathrm{holds}:$$$$\prod _{\mathbf{cyc}}{\left(\tan \mathrm{A}\right)}^{\mathbf{a}}⩽\prod _{\mathbf{cyc}}{\left(\cot \frac{\mathrm{A}}{2}\right)}^{\frac{\mathbf{b}+\mathbf{c}}{2}}$$

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