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TrigonometryMediumGraphs of Sine and Cosine

Graphs of Sine and Cosine · Medium problem

What is the phase (horizontal) shift of y=3sin⁡(4x+π6)y = 3\sin\left(4x + \dfrac{\pi}{6}\right) relative to y=sin⁡xy = \sin x? Give the signed shift as an exact multiple of π\pi (positive means to the right).