Question

Помогите решить
√3 tg (x/3+п/3)=-1

Answer 1

$sqrt{3}*tg( frac{x}{3} + frac{pi}{3} )=-1 \tg( frac{x}{3} + frac{pi}{3} )=- frac{1}{sqrt{3}} \tg( frac{x}{3} + frac{pi}{3} )=- frac{sqrt{3}}{3} \frac{x}{3} + frac{pi}{3}=- frac{pi}{6} +pi n \frac{x}{3}=- frac{pi}{6}-frac{pi}{3}+pi n \frac{x}{3}=- frac{pi}{2} +pi n \x=- frac{3pi}{2} +3pi n, n in Z$