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Yes, the tangent function is periodic.
The frequency of a periodic function is 1/Period
Yes, the sine function is a periodic function. It has a period of 2 pi radians or 360 degrees.
The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
Period of a Periodic Function is the horizontal distance required for the graph of that periodic function to complete one cycle.