Are trigonometric functions the only periodic functions?

All trignometric functions are periodic but only sine or cosine functions are used to define SHM. Since the value of all trignometric functions repeat with an initerval of 0 to 2πrad, hence, they all are periodic. The sine and cosine functions take values between -1 to +1 only.

Can you build a periodic function that isn’t trigonometric?

Periodic functions are functions with values that repeat over a constant interval or period. However, there are periodic functions that are not trigonometric. A non-trigonometric periodic function will repeat at predictable intervals but will not be the direct result of a trigonometric function.

Are all trigonometric functions periodic in nature?

1: All trigonometric functions are periodic on “R”. The functions sinx,cosx,secxandcosecx have periodicity of “2π”.

What are the different parts of a periodic function?

Period: The horizontal distance required for a complete cycle of the graph. Frequency: 1period Phase shift: A horizontal shift of a periodic function. Vertical shift: A shift up or down of a periodic function. Amplitude: One half of the distance between the minimum and maximum y values.

Which of the following function is a periodic function?

Sin x and Cos x are the periodic functions with period 2π and constant is also periodic.

Are zero functions periodic?

Answer to your question: Constants are periodic functions of any period and, therefore, they do not have a fundamental period. Nowhere in the definition of a period function is it stated that the function must have a least period. If f(x)=c then for any p we have f(x+p)=f(x). So f is periodic and p is a period.

Is F X X periodic?

The function f(x)=x-[x] is a periodic with period. Thus, there exists T>0 such that f(x+T)=f(x) for all x∈R. So, f(x) is a periodic function .

What is meant by Signum function?

In mathematics, the sign function or signum function (from signum, Latin for “sign”) is an odd mathematical function that extracts the sign of a real number. In mathematical expressions the sign function is often represented as sgn.

Which of the following function is not periodic?

So cos(x2) is not periodic.

Is Tan 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. The graph of tan x is periodic but the period is π.