Помогите решить прошу Вас 1.ctg3x=ctgx 2.ctg2x*cos5x+sinx=0 3. Tg2x+tg4x=tg5x+tgx

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