Question

Помогите пожалуйста!!!

Answer 1

$tgx-tgfrac{pi}{3}-tgxcdot tgfrac{pi}{3}=1\\tgx-sqrt3-sqrt3cdot tgx=1\\tgx(1-sqrt3)=1+sqrt3\\tgx=frac{1+sqrt3}{1-sqrt3}\\x=arctgfrac{1+sqrt3}{1-sqrt3}+pi n,; nin Z\\\P.S.; ; frac{1+sqrt3}{1-sqrt3}=frac{(1+sqrt3)^2}{1-3}=frac{4+2sqrt3}{-2}=-2-sqrt3=-(2+sqrt3)\\\x=-arctg(2+sqrt3)+pi n,; nin Z$