$\tg\left(5x+\dfrac{\pi}{4}\right)=1$ $x=-\dfrac{\pi}{20}+\dfrac{\pi k}{5},\;k\in\mathbb {Z}$ $x=-\dfrac{\pi}{4}+\pi k,\;k\in\mathbb {Z}$ $x=\pi k,\;k\in\mathbb {Z}$ $x=\dfrac{\pi k}{5},\;k\in\mathbb {Z}$

Задание

Реши уравнение.

\(\tg\left(5x+\dfrac{\pi}{4}\right)=1\)

Выбери верный вариант.

\(x=-\dfrac{\pi}{20}+\dfrac{\pi k}{5},\;k\in\mathbb {Z}\)
\(x=-\dfrac{\pi}{4}+\pi k,\;k\in\mathbb {Z}\)
\(x=\pi k,\;k\in\mathbb {Z}\)
\(x=\dfrac{\pi k}{5},\;k\in\mathbb {Z}\)