sinx*cos(x+pi/3)+cosx*sin(x+pi/3)=0

sinx*cos(x+π/3)+cosx*sin(x+π/3)  =0 ;* * * sinαcosβ +cosα*sinβ =sin(α+β) * * *sin(x+x+π/3) =0 ;sin(2x+π/3) =0 ;2x+π/3 =πk , k∈Z.2x= -π/3 +πk , k∈Z.x= -π/6 +(π/2)*k , k∈Z.