[tex] \sqrt3 sin 3x = cos 3x[/tex]. Created by krokket. algebra-ru

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July 2022 1 23 Report

[tex] \sqrt3 sin 3x = cos 3x[/tex]

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chamomile03

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$\sqrt{3}sin3x=cos3x|:cos3x \neq 0 \\ \\ \sqrt{3}tg3x=1 \\ \\ tg3x= \frac{1}{ \sqrt{3} }$

$3x=arctg \frac{1}{ \sqrt{3} } + \pi n,$ n∈Z

$3x= \frac{ \pi }{6} + \pi n,$ n∈Z

$x= \frac{ \pi }{18} + \frac{ \pi n}{3},$ n∈Z

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Verified answer

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