How to find the period of a function from an equation

How to Find the Period of a Function?

1. If a function repeats over at a constant period we say that is a periodic function.
2. It is represented like f(x) = f(x + p), p is the real number and this is the period of the function.
3. Period means the time interval between the two occurrences of the wave.

1. How do you find the period of a sine function from an equation?
2. What is the period in an equation?
3. How do you find the period of a cosine function from an equation?

How do you find the period of a sine function from an equation?

We have a really easy way to determine the period of the sine function. If we have a sine function of the form f(x) = Asin(Bx + C) + D, then the period of the function is 2π / |B|.

What is the period in an equation?

The period is defined as the length of one wave of the function. In this case, one full wave is 180 degrees or radians. You can figure this out without looking at a graph by dividing with the frequency, which in this case, is 2.

How do you find the period of a cosine function from an equation?

To find the period of any sine or cosine function, use 2 π | b | , where is the frequency. Using the first graph above, this is a valid formula: 2 π 1 2 = 2 π ⋅ 2 = 4 π .