1сtg3x-ctgx=0sin(3x-x)/sin3x*sinx=0sin2x=0 U sin3x*sinx≠02x=πn⇒x=πn/2,n∈z U x≠πk,k∈z U x≠πm/3,m∈zx=πn/2,n∈z U n≠2m/3,m∈z3sin(2x+4x)/cos2xcos4x=sin(5x+x)/cos5xcosxsin6x/cos2xcos4x-sin6x/cos5xcosx=0sin6x(cos5xcosx-cos2xcos4x)/cosxcos2xcos4xcos5x=0cosxcos2xcos4xcos5x≠0sin6x=0⇒x=πn/6,n∈zcos5xcosx-cos2xcos4x=01/2*cos4x+1/2*cos6x-1/2*cos2x-1/2*cos6x=01/2*cos4x-1/2*cos2x=0-1/2*2sinxsin3x=0sinx=0⇒x=πk,k∈zsin3x=0⇒x=πm/3,m∈z