Question

решите уравнение tg^2*2x+tg 2x=0

Answer 1

$tg^22x+tg2x=0\tg2x=0,;tg^22x=t^2\t^2+t=0\t(t+1)=0\t_1=0,;t_2=-1\tg2x=0Rightarrow2x=pi kRightarrow x=fracpi2k,;kinmathbb{Z}\tg2x=-1Rightarrow2 x=frac{3pi}4+pi kRightarrow x=frac{3pi}8+fracpi2k,;kinmathbb{Z}$