Practice with  Graphs  Dealing with Sine and Cosine Topic Index | Algebra2/Trig Index | Regents Exam Prep Center

Answer the following questions dealing with graphs of trigonometric functions.
Double check using your graphing calculator.

1.

Determine an equation for this graph:

Choose:

2.

Determine an equation for this graph:

Choose:

3.

Determine an equation for this graph:

Choose:

4.

Determine an equation for this graph:

Choose:

 5 On the same set of axes from 0 to , graph:

 6 On an axes from 0 to , graph: . Where on the graph does the graph reach its maximum value(s)?

 7 On the same set of axes from 0 to , graph: How many points satisfy the equation ?

 8 On the axes from 0 to , graph: . State the amplitude, frequency and period of this graph.

 9 On the same set of  axes,  , graph: . Find all values for which .

 10. A small toy attached to the end of a slinky (or spring) bobs up and down according to an equation of the form d = a cos(bt).  The motion of the toy starts at its highest position of 5 inches above its rest point, bounces down to its lowest position of 5 inches below its rest point, and then bounces back to its highest position in a total of 4 seconds.  Write an equation that represents this motion.Graph your equation from t = 0 seconds to t = 12 seconds.

 Topic Index | Algebra2/Trig Index | Regents Exam Prep Center Created by Donna Roberts