Question

Корень из 3 ctg(п/4-x)=1

Answer 1

$\sqrt3\, ctg(\frac{\pi}{4}-x)=1\\\\ctg(\frac{\pi}{4}-x)=\frac{1}{\sqrt3}\\\\\frac{\pi}{4}-x=arcctg\frac{1}{\sqrt3}+\pi n\; ,\; n\in Z\\\\\frac{\pi}{4}-x=\frac{\pi}{3}+\pi n\; ,\; n\in Z\\\\x=\frac{\pi}{4}-\frac{\pi}{3}-\pi n,\; n\in Z\\\\x=-\frac{\pi}{12}-\pi n\; ,\; n\in Z$