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TrigonometryMediumGraphs of the Other Trigonometric Functions

Graphs of the Other Trigonometric Functions · Medium problem

What is the period of y=2csc⁡(32x−π6)−2y = 2\csc\left(\dfrac{3}{2}x - \dfrac{\pi}{6}\right) - 2? Give an exact answer in terms of π\pi.