[tex]16cos \frac{ \pi }{9} cos \frac{2 \pi }{9} cos \frac{ 4\pi }{9} [/tex]. Created by olgalmenko. algebra-ru

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July 2022 1 14 Report

[tex]16cos \frac{ \pi }{9} cos \frac{2 \pi }{9} cos \frac{ 4\pi }{9} [/tex]

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Матов

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$cos\frac{\pi}{9}=cos20\\
 16*cos20*cos40*cos80=\frac{16*sin20*cos20*cos40*cos80}{sin20}\\
 \frac{8*sin40*cos40*cos80}{sin20 } = \frac{4*sin80*cos80}{sin20} = \frac{2*sin160}{sin20} = 2*1=2$

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olgalmenko July 2022 | 0 Ответы

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