Решить уравнение 1/2·ctg2x=√3/2. Created by nataevgeniy. algebra-ru

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nataevgeniy @nataevgeniy

July 2022 1 18 Report

Решить уравнение 1/2·ctg2x=√3/2

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drwnd

Verified answer

$ctg2x= \ \frac{ \sqrt{3} }{2} * \frac{2}{1}$
$ctg2x= \sqrt{3}$
$ctg \alpha =arcctg \alpha + \pi n$
$2x = \frac{ \pi }{6} + \pi n$
$x = \frac{ \pi }{12} + \frac{ \pi n}{2}$
$n$ ∈Z

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