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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=−cot⁡(13x−π2)y = -\cot\left(\dfrac{1}{3}x - \dfrac{\pi}{2}\right) shifted horizontally compared with y=−1cot⁡(13x)y = -1\cot\left(\dfrac{1}{3}x\right)? Give the signed shift as an exact multiple of π\pi (positive means to the right).