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 :

  1. Put f(x+T) = f(x).
  2. If there exists a positive number “T” satisfying equation in “1” and it is independent of “x”, then f(x) is periodic.
  3. 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.