Question

помогите решить 10 класс на фото

Answer 1

$\sqrt{3}tg^{2}x+tgx=0\\\\tgx(\sqrt{3}tgx+1)=0\\\\\left[\begin{array}{ccc}tgx=0\\\sqrt{3}tgx+1=0 \end{array}\right\\\\\\\left[\begin{array}{ccc}tgx=0\\tgx=-\frac{1}{\sqrt{3} } \end{array}\right\\\\\\\left[\begin{array}{ccc}x=\pi n,n\in Z \\x=arctg(-\frac{1}{\sqrt{3})}+\pi n,n\in Z \end{array}\right\\\\\\\left[\begin{array}{ccc}x=\pi n,n\in Z \\x=-\frac{\pi }{6}+\pi n,n\in Z\end{array}\right$