(tan(1/2х)+1)(tan(х)−3)=0. Created by egorxbr. algebra-ru

Ответ:n принадлежит Z.

2х)+1)(tan(х)−3)=0...

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July 2022 1 2 Report

(tan(1/2х)+1)(tan(х)−3)=0

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Miroslava227

Ответ:

$(tg \frac{x}{2} + 1)(tgx - 3) = 0 \\ \\ tg \frac{x}{2} + 1 = 0 \\ tg \frac{x}{2} = - 1 \\ \frac{x}{2} = - \frac{\pi}{4} + \pi \: n \\ x1 = - \frac{\pi}{2} + 2\pi \: n \\ \\ tgx - 3 = 0 \\ tgx = 3 \\ x2 = arctg(3) + \pi \: n$

n принадлежит Z.

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