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TrigonometryMediumGraphs of Sine and Cosine

Graphs of Sine and Cosine · Medium problem

What is the phase (horizontal) shift of y=cos⁡(x+π2)+3y = \cos\left(x + \dfrac{\pi}{2}\right) + 3 relative to y=cos⁡xy = \cos x? Give the signed shift as an exact multiple of π\pi (positive means to the right).