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TrigonometryMediumGraphs of Sine and Cosine

Graphs of Sine and Cosine · Medium problem

What is the period of y=−12sin⁡(13x−π2)−2y = -\dfrac{1}{2}\sin\left(\dfrac{1}{3}x - \dfrac{\pi}{2}\right) - 2? Give an exact answer in terms of π\pi.