Question

Ctg (x+1/2)= корень 3

Answer 1

$ctg(x+ \frac{1}{2})= \sqrt{3} \\ \\ x+ \frac{1}{2}=arcctg \sqrt{3}+\pi n \\ \\ x+ \frac{1}{2}= \frac{\pi}{6}+\pi n \\ \\ \boxed {x= \frac{\pi}{6}- \frac{1}{2}+\pi n,\;\;n \in Z }$