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.