if-a-k-tan-kpi-n-find-k-1-n-a-k-k-1-n-a-k-

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

i f a_{k} = \tan (θ + \frac{k π}{n}),

f i n d \frac{\underset{k = 1}{\sum^{n}} a_{k}}{\underset{k = 1}{\prod^{n}} a_{k}} = ?

Commented by MJS last updated on 23/May/20

seems to be {\begin{cases} n = 4 m + 1; n \\ n = 4 m + 3; - n \\ n = 4 m; - \frac{n}{\tan n θ} \\ n = 4 m + 2; \frac{n}{\tan n θ .} \end{cases}

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

waww ===== . =

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

hard one sir, i solved such a problem before

but this stocks