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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=3cot⁡(4x−π3)y = 3\cot\left(4x - \dfrac{\pi}{3}\right) shifted horizontally compared with y=3cot⁡(4x)y = 3\cot\left(4x\right)? Give the signed shift as an exact multiple of π\pi (positive means to the right).