Examples for

Periodic Functions

Periodic functions are functions that regularly repeat. Periodic functions are fundamental to trigonometry and are also used throughout analysis of waves and signals. Wolfram|Alpha can compute the periodicity and root-mean-square (RMS) amplitude of periodic functions.
Period Computations

Find the period of a function.

Compute the period of a periodic function:

period of the sine function
period y=sin(x)*cos(3x)

Find periods of a function of several variables:

period of f(x,y)=sin(x)*cos(3y)
period sin(x + y^2 - 3z)
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Root Mean Square

Calculate the root-mean-square (RMS) value of a periodic function.

Compute the root mean square of a periodic function:

root mean square 3sin(t)-2cos(2t)
root mean square squarewave(t/3) + sin(pi t)
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