# What are examples of periodic functions?

## What are examples of periodic functions?

The movement of planets around the sun, the motion of a yo-yo are all examples of periodic functions. Though the example of a pendulum is a special case of periodic function because it is executing simple harmonic motion, the difference lies in how the motion is expressed mathematically.

## How do you know if a function is periodic?

In order to determine periodicity and period of a function, we can follow the algorithm as :

- Put f(x+T) = f(x).
- If there exists a positive number “T” satisfying equation in “1” and it is independent of “x”, then f(x) is periodic.
- The least value of “T” is the period of the periodic function.

**What is periodic function explain?**

Periodic function is a function that repeats itself at regular intervals. The period of a function is an important characteristic of periodic functions, which helps to define a function. A periodic function y = f(x), having a period P, can be represented as f(X + P) = f(X).

### Which is not the example of a periodic function?

The sine and cosine functions are period function. The logarithmic functions and some powered functions are not the periodic function.

### Is cot a periodic function?

Therefore, sine and cosine functions are periodic functions. sin (2π + θ) = sin θ and cos(2π + θ) = cos θ for all values of θ. So sine and cosine function are periodic function with period 2π. Therefore tan θ and cot θ are periodic functions with period π.

**Which function is not periodic?**

A non-periodic function does not remain self-similar for all integer multiples of its period. A decaying exponential is an example of a non-periodic function.

#### What is periodic motion give example?

periodic motion, in physics, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave.

#### What is periodic function Class 10?

When any property whether its chemical or physical of all periodic table elements repeats after a fixed number of elements in increasing atomic no.,it is referred as Periodic Function.

**Is tan a periodic function?**

The tangent function is a periodic function which is very important in trigonometry.

## Is Sinx periodic?

The graphs of sin x, cos x and tan x are periodic. A periodic function is one that repeats its values after a period has been added to the independent variable, in this case x. The functions sin x and cos x both have periods equal to 2π.