The period of a trigonometric function, since it depends on the angle of a ray centered in a unit circle, is 2 pi radians or 360 degrees.
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Neither, it is a mathematical discipline.
plane trigonometry spherical trigonometry
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.
Hipparchus is the father of trigonometry.
Period of a Periodic Function is the horizontal distance required for the graph of that periodic function to complete one cycle.