periodic function
Quick Summary
A periodic function is a mathematical function whose values repeat at regular intervals. This repetition is called periodicity. The length of the interval over which the function's values repeat is known as its period.12
The graph of a periodic function is a curve that is formed by the continuous repetition of a specific part of itself. These functions are fundamental in describing phenomena that occur cyclically, such as waves, oscillations, and rotations. For instance, the motion of a pendulum or the orbit of a planet around the sun are examples of periodic motion, which can be mathematically represented using periodic functions.342
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trigonometryTrigonometric functions of an angle…that the trigonometric functions are periodic and have a period of 360° or 180°.
Read More…that the trigonometric functions are periodic and have a period of 360° or 180°.
Read More- trigonometryApplication to science
…functions that arose from their periodicity. If the cosine and sine functions are defined as the projections on the x- and y-axes, respectively, of a point moving on a unit circle (a circle with its centre at the origin and a radius of 1), then these functions will repeat their…
Read More…functions that arose from their periodicity. If the cosine and sine functions are defined as the projections on the x- and y-axes, respectively, of a point moving on a unit circle (a circle with its centre at the origin and a radius of 1), then these functions will repeat their…
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