arccos(sin 4П/5)=????????????. Created by Кариночка78. algebra-ru

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Кариночка78 @Кариночка78

July 2022 1 12 Report

arccos(sin 4П/5)=????????????

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NNNLLL54

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$arccos (sin\frac{4\pi}{5})=arccos(sin(\pi -\frac{\pi}{5}))=arccos (sin(\frac{\pi }{5}))=\\\\=arccos(sin(\underbrace {\frac{\pi }{2}-\frac{3\pi}{10}}_{\pi /5}))=arccos(cos\frac{3\pi}{10})=\frac{3\pi}{10}\; ;\\\\\frac{3\pi}{10}\in \; 1\; chetverti$

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