let-x-R-and-u-n-k-0-n-cos-x-2-k-find-a-simple-form-of-u-n-

Question Number 30177 by abdo imad last updated on 17/Feb/18

l e t x \in R a n d u_{n} = \prod_{k = 0}^{n} c o s (\frac{x}{2^{k}}) f i n d a s i m p l e f o r m o f

u_{n} .

Answered by Tinkutara last updated on 18/Feb/18

u_{n} = \frac{1}{2^{n + 1}} cosec (\frac{π}{2^{n}})