Question

Решите уравнение корень3 tg(5x+П/7)=-1​

Answer 1

Ответ:

$3tg(5x + \frac{\pi}{7} ) = - 1 \\ tg(5x + \frac{\pi}{7} ) = - \frac{1}{ \sqrt{3} } \\ tg(5x + \frac{\pi}{7} ) = - \frac{ \sqrt{3} }{3} \\ 5x + \frac{\pi}{7} = - \frac{\pi}{6} + \pi \: n \\ 5x = - \frac{13\pi}{42} + \pi \: n \\ x = - \frac{13\pi}{210} + \frac{\pi \: n}{5}$

n принадлежит Z.