cos(x - pi/6)=(sqrt3)cosx
=>cosx cos(pi/6+sinxsin(pi/6)=(sqrt3)cosx
=>cosx (sqrt3/2)+sinx(1/2)=(sqrt3)cosx
=> sqrt3cosx+sinx=(2sqrt3)cosx
=> sinx=(2sqrt3)cosx-sqrt3cosx
=> sinx=sqrt3cosx
=> sinx/cosx=sqrt3
=> tanx=tan(pi/3)
=>x= npi+pi/3" where " n in ZZ