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Question Number 33308 by abdo imad last updated on 14/Apr/18

calculate Σ_(n=0) ^∞ ln(cos((α/2^n ))) .

$${calculate}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:{ln}\left({cos}\left(\frac{\alpha}{\mathrm{2}^{{n}} }\right)\right)\:. \\ $$

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