Question

(tan(1/2х)+1)(tan(х)−3)=0

Answer 1

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.