Question

3 tg (x3-pi3)+корень из 3=0

Answer 1

$3tg(frac{x}{3}-frac{pi}{3})+sqrt3=0\\tg(frac{x}{3}-frac{pi}{3})=-frac{sqrt3}{3}\\frac{x}{3}-frac{pi}{3}=arctg(-frac{sqrt3}{3})+pi n=-frac{pi}{6}+pi n,; nin Z\\frac{x}{3}=frac{pi}{6}+pi n,; nin Z\\x=frac{pi}{2}+2pi n,; nin Z$