Question

sin^2+корень из 3 sinx*cosx=0

Answer 1

$sin^2x+ sqrt{3} sinx*cosx=0|:cos^2x \ frac{sin^2x}{cos^2x} + sqrt{3} frac{sinx}{cosx}=0 \ frac{sinx}{cosx} =tgx \ tg^2x+ sqrt{3} tgx=0 \ tgx(tgx+ sqrt{3} )=0 \ tgx=0 \ x_1=arctg0+ pi n \ x_1= pi n \ tgx=- sqrt{3} \ x_2=-arctg sqrt{3} + pi n \ x_2=- frac{ pi }{3} + pi n$