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TrigonometryMediumGraphs of the Other Trigonometric Functions

Graphs of the Other Trigonometric Functions · Medium problem

By how much is the graph of y=2cot⁡(3x−π2)y = 2\cot\left(3x - \dfrac{\pi}{2}\right) shifted horizontally compared with y=2cot⁡(3x)y = 2\cot\left(3x\right)? Give the signed shift as an exact multiple of π\pi (positive means to the right).