Answer 1

2sgrt3 sin^2 x - sin 2x =0;
 2 sgrt3 sin^2 x - 2 sin x cos x =0;
2 sin x(sgrt 3 sin x - cos x)=0;
1) sin x =0; ⇒x= pik; k-Z;
2) sgrt sin x - cos x =0;
sgrt 3 sin x = cos x;      / :sgrt3cos x≠0;
tg x = 1/sgrt3;
 tg x = sgrt3/3;
 x= pi/6 + pi k; k-Z

Answer 2

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