Determining the Equation of a Sinusoid
A sinusoid is any function of the form y = a*sin(b*x) + c or y = a*cos(b*x) + c.
In the exercises below you are given the graph of a sinusoid and asked to determine the corresponding values of a, b, and c. To determine the values of the coefficients a, b, and c use the sliders to change the values of these coefficients to match the green graph. For example, to match the green graph in Figure 1 we use the sliders as shown in the animation displayed in Figure 2.
For practice, try an example; click here.
Click on an exercise.
Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5
Exercise 6 Exercise 7 Exercise 8 Exercise 9 Exercise 10
Exercise 11 Exercise 12 Exercise 13 Exercise 14 Exercise 15
Exercise 16 Exercise 17 Exercise 18 Exercise 19 Exercise 20
Created 6/18/2004 Last updated 7/20/2004 DRH