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High school mathematics, only cycle. Just explain how the period is calculated.
Half a period is 3/4 π-5/ 12 π, and one period is 2/3 π.

For the period of sine function, the function y=Asin(wx+φ) has a corresponding formula.

The period is t = 2π/w.

Here T=2π/w=2/3 π w=3.

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