Как отобрать корень на окружности с промежутком [tex] [3\pi ;4 \pi ][/tex]? [tex]tg=(- \frac{2}{5}) [/tex]. Created by MissChotkaya. algebra-ru

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August 2022 1 9 Report

Как отобрать корень на окружности с промежутком [tex] [3\pi ;4 \pi ][/tex]?
[tex]tg=(- \frac{2}{5}) [/tex]

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$tgx=-\frac{2}{5}\\\\x=arctg(-\frac{2}{5})+\pi n=-arctg \frac{2}{5}+\pi n\; ,\; n\in Z\\\\x\in [\, 3\pi ,4\pi \, ] \; \; \Rightsrrow \; \; x=4\pi -(-arctg\frac{2}{5})+2\pi n=4\pi +arctg\frac{2}{5}+2\pi n,\; n\in Z$

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