[ATTACH=full]3743[/ATTACH]

y= 2cot((pi/3)x+pi/6)) For f(x)=A*g(Bx-C)+D, where gt(x) is one of the basic trig functions, C/B is phase shift period= (periodicity of cot (x ))/B periodicity of cot (x ) is pi period: pi/ (pi/3)=3 phase shift : in your case C=pi/6 and B=pi/3 so phase shift is ( pi/6)(pi/3)=3/6= 1/2