Question

tg(x/2-pi/2)=-корень3

Answer 1

$tg(frac{x}{2}-frac{pi}{2})=-sqrt3\\-ctgfrac{x}{2}=-sqrt3\\ctgfrac{x}{2}=sqrt3\\frac{x}{2}=frac{pi}{6}+pi n\\x=frac{pi }{3}+2pi n,nin Z$