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.

Figure 1.

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