let x∈R and u_n = Π_(k=0) ^n cos((x/2^k )) find a simple form of u


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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

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