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Question Number 143414 by Snail last updated on 14/Jun/21

$$Evaluate$$$$\lfloor \frac{{\left\{\underset{i=1}{\sum ^{1010}}{tan}^2\left(\frac{i\pi }{2021}\right)\right\}}^{\frac{1}{2}}}{\underset{i=1}{\prod ^{1010}}tan\left(\frac{i\pi }{2021}\right)}\rfloor wherw\lfloor \cdot \rfloor denotesGIF$$$$$$$$$$$$$$

Answered by Olaf_Thorendsen last updated on 15/Jun/21

$$\underset{i=1}{\prod ^n}\tan \left(\frac{i\pi }{2n+1}\right)=\sqrt{2n+1}$$$$\left(\mathrm{famous}\mathrm{result}\mathrm{easy}\mathrm{to}\mathrm{demonstrate}\right)$$$$$$

Commented by Snail last updated on 15/Jun/21

$$Whataboutthenumerator?.....sendmelinkoftheresult$$

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