This is a list of some well-known periodic functions. The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks a fundamental period.

The examples of periodic functions are the trigonometric functions, inverse trigonometric functions, hyperbolic functions, and all the functions which represent periodic or circular motions in physics.

Sep 24, 2025 · In trigonometry, there are three fundamental functions, namely, sin, cos, and tan, whose periods are 2π, 2π, and π periods, respectively. The starting point of the graph of any trigonometric …

Period, Midline and Amplitude All sine and cosine graphs have the characteristic ”wave” shape we’ve seen in previous examples. But we can alter the size and frequency of the waves by changing the …

Trigonometric functions are all periodic. The sine function and cosine function are two well known examples. Graphs of sin (x) in red and cos (x) in blue. The constant function is not a periodic function …

Jan 8, 2025 · The periodic functions are such functions whose values are repeated at regular intervals or periods. The period of a periodic function is its main characteristic. In this article, we study the …

Periodic functions are defined and their properties discussed through examples with detailed solutions. Several graphs of periodic functions are also included.

In this section, we use the rotation of the London Eye as an example of a periodic function and will work to sketch a graph of a rider's height above ground over time. A periodic function is a function whose …

We list common periodic functions. In the parentheses, there are given their period with least modulus. sine (), cosine (), tangent (), cotangent (), secant (), cosecant (), and functions depending on them – …

Jul 2, 2025 · Periodic function examples in real life include the motion of a pendulum, the change of day and night, the change in the seasons, the rhythm of the heartbeat, and a lot more.