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Question Number 95164 by mr W last updated on 23/May/20

$$if{a}_k=\tan (\theta +\frac{k\pi }{n}),$$$$find\frac{\underset{k=1}{\sum ^n}{a}_k}{\underset{k=1}{\prod ^n}{a}_k}=?$$

Commented by MJS last updated on 23/May/20

$$\mathrm{seems}\mathrm{to}\mathrm{be}\{\begin{array}{l}n=4m+1;n\\ n=4m+3;-n\\ n=4m;-\frac{n}{\tan n\theta }\\ n=4m+2;\frac{n}{\tan n\theta .}\end{array}$$$$$$

Commented by john santu last updated on 23/May/20

$$\mathrm{waww}=====.=$$

Commented by Rio Michael last updated on 23/May/20

$$\mathrm{hard}\mathrm{one}\mathrm{sir},\mathrm{i}\mathrm{solved}\mathrm{such}\mathrm{a}\mathrm{problem}\mathrm{before}$$$$\mathrm{but}\mathrm{this}\mathrm{stocks}$$

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