How to find period of a sine function

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|.

1. How do you find the period of a sine and cosine function?
2. What is the period of the given sine function?
3. How do you find the period of a function?
4. How do you find the period and amplitude of a sine function?

How do you find the period of a sine and cosine function?

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 .

What is the period of the given sine function?

For example – The sine function i.e. sin a has a period of 2π because 2π is the smallest number for which sin (a + 2π) = sin a, for all a. We may also calculate the period using the formula derived from the basic sine and cosine equations.

How do you find the period of a function?

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 and amplitude of a sine function?

Amplitude and period from an equation: The equation f(x)=asin(b(x+c))+d f ( x ) = a sin ⁡ ( b ( x + c ) ) + d has amplitude a and period 2πb 2 π b .