Find an Equation for the Sine or Cosine Wave
When finding the equation for a trig function, try to identify if it is a sine or cosine graph.
To find the equation of sine waves given the graph, find the amplitude which is half the distance between the maximum and minimum.
Next, find the period of the function which is the horizontal distance for the function to repeat. If the period is more than 2π then B is a fraction; use the formula period = 2π/B to find the exact value.
Then, find any phase shift, h.
Given a transformed graph of sine or cosine, determine a possible equation.
Writing equation of sin and cos graph
Finding an Equation from a Graph
Determining the equation of a trigonometric function
Determining the amplitude and period of sine and cosine functions.
How to come up with the equation of a sin/cos function when given the graph.
How to Get Equation of a Sine Curve
How to identify the graph of a stretched cosine curve.
This video demonstrates how to stretch and shrink the sine and cosine curves.
Finding the equation of Sine or Cosine given its graph
Sine Graph Calculator
Enter in the values for f(x) = Asin(B(x-h))+k into the sine graph calculator to check your answer.
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