Question

Тригонометрическое уравнение Tg(3pi/4-4x)=tgpi/4

Answer 1

${\rm tg}\,(\frac{3\pi}{4}-4x)={\rm tg}\,\frac{\pi}{4};\, \frac{3\pi}{4}-4x+\pi n=\frac{\pi}{4};\, 4x= \frac{\pi}{2}+\pi n;\, x= \frac{\pi}{8}+\frac{\pi n}{4},$
$n\in\mathbb{Z}$