Question

Плииз))) решите уравнение tg*(3х+1)=1

Answer 1

$\displaystyle tg(3x+1)=1$
$\displaystyle 3x+1= \frac{ \pi}{4} + \pi n, n \in Z$
$\displaystyle 3x= \frac{ \pi}{4}-1+ \pi n, n \in Z \bigg| \div 3$
$\displaystyle \boxed {x= \frac{\pi}{12}- \frac{1}{3}+ \frac{ \pi n}{3}, n \in Z }$