Andre W. answered 12/04/13
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The phase shift is pi/6.
By phase, we mean the entire quantity inside the trigonometric function, in this case (2/3)x-pi/6. The phase shift is the value of the phase at x=0. You get -pi/6, where the minus sign indicates the trigonometric function is shifted pi/6 radians to the right.
Jason S.
12/02/13