Sinx+cosx*ctgx/2 = - корень из 3

sinx+cosx*cos(x/2)/sin(x/2)=-√3(sinx*sin(x/2)+cosx*cos(x/2))=-√3sin(x/2)      sin(x/2)≠0⇒x/2≠πn⇒x≠2πncos(x-x/2)=-√3sin(x/2)cos(x/2)+√3sin(x/2)=02(1/2*cos(x/2)+√3/2*sin(x/2))=02sin(π/6+(x/2))=0π/6+(x/2)=πnx/2=-π/6+πnx=-π/3+2πn