Question

помогите срочно
tg*pi(4x+5)/6=1/корень из 3

Answer 1

$tg(frac{pi(4x+5)}{6})=frac{sqrt{3}}{3} (frac{1}{sqrt{3}}=frac{sqrt{3}}{sqrt{3}*sqrt{3}}=frac{sqrt{3}}{3})\frac{pi(4x+5)}{6}=arctg(frac{sqrt{3}}{3})+pi*k, kin Z\frac{pi(4x+5)}{6}=frac{pi}{6}+pi*k, kin Z\pi(4x+5)=pi+6pi*k, kin Z\4x+5=1+6k, kin Z\4x=-4+6k, kin Z\boxed{x=-1+frac{3k}{2}, kin Z}$