The function period formula refers to the formula used to calculate the period of a periodic function. The so-called periodic function refers to the function that the independent variable becomes a period after each fixed periodic value is added. Periodic function is widely used in many fields, such as physics, mathematics, chemistry and so on. It is very meaningful to study the dynamic law of a certain field.

For the periodic function y=f(x), the formula is as follows:

T=2π/ω

Where t is the period of the function and ω is the angular frequency, the formula can also be expressed as T=k/p, where k represents an integer and p is the minimum positive period.

The principle of periodic function formula is closely related to the concept of periodicity. From the image of quadratic function cos(x), we can see that the image of this function in the domain [0,2π] shows regular fluctuation, because cos(x) is a periodic function. A period is half the wavelength, that is, the length of a period, which is often expressed by t.

Periodic function is widely used in various disciplines. In the field of physics, periodic functions are often used to describe the motion state of waves, such as electromagnetic waves, light waves and sound waves.

In a word, the formula of periodic function is one of the basic methods to calculate the period of periodic function, which can be applied to many fields. In the process of learning and applying the formula of periodic function, it is necessary to further understand and master the concept and basic characteristics of periodic function, deepen the understanding and application of harmonic function and Fourier series, and improve the research and practical application ability in mathematics and physics.