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Question Number 176128 by Shrinava last updated on 13/Sep/22

$$\mathrm{In}△\mathrm{ABC},\cot \frac{\mathrm{A}}{2},\cot \frac{\mathrm{B}}{2},\cot \frac{\mathrm{C}}{2}\in \mathrm{Q}$$$$\mathrm{Prove}\mathrm{that}:$$$${\left(\prod _{\mathbf{cyc}}\sin \frac{\mathrm{A}}{2}\right)}^{\mathbf{n}}+{\left(\prod _{\mathbf{cyc}}\cos \frac{\mathrm{A}}{2}\right)}^{\mathbf{n}}\in \mathrm{Q},\mathrm{\forall }\mathrm{n}\in \mathbb{N}$$

Commented by Rasheed.Sindhi last updated on 13/Sep/22

$$\mathrm{Shrinava}\mathrm{sir},areyouanoldmember$$$$oftheforum?Imeanhaveyoua$$$$differentIDinthepast?$$

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