3tgx4x-2ctg(пи/2-4x)=1. Created by Summa09. algebra-ru

2-4x)=1...

Summa09 @Summa09

July 2022 1 7 Report

3tgx4x-2ctg(пи/2-4x)=1

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$3tg4x-2Ctg(\frac{\pi }{2}-4x)=1\\\\3tg4x-2tg4x=1\\\\tg4x=1\\\\4x=arc tg1+\pi n,n\in Z\\\\4x=\frac{\pi }{4} +\pi n,n\in Z\\\\x=\frac{\pi }{16}+\frac{\pi n}{4} ,n\in Z\\\\Otvet:\boxed{\frac{\pi }{16}+\frac{\pi n}{4},n\in Z}$

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