Trigonometric and Inverse Trigonometric Function Gallery

The following is a gallery of demos illustrating selected families of trigonometric functions These animations can be used by instructors in a classroom setting or by students to aid in acquiring a visualization background relating to the change of parameters in expressions for functions. Two animation file formats, gif and mov are available.

  1. The gif animations should run on most systems and the file sizes are relatively small. 

  2. The mov animations require the QuickTime Player (version 6) which is a free download available by clicking here; these files are also small. (The mov files may not execute properly in older versions of QuickTime.) 

  3. The collection of animations in gif and mov format can be downloaded; see the zipped download category at the bottom of the following table.

  4. We use abbreviations, GSP for Geometer's Sketch Pad 4, MAT for MATLAB, and EX for Excel spread sheet, to indicate the software used to generate the frames of the animation. If alternate corresponding software is available there will be more than one abbreviation will appear. Software routines can also be downloaded.

Trigonometric and Inverse Trigonometric Functions

Generating Sine
MAT
   Gif Animation   
   Mov Animation
Sine functions
f(x) = a sin(b x) + d  and
f(x) = a sin(b (x+c)) + d
GSP
also an EXP file

 

Vary a: Gif Animation   
            Mov Animation

Vary b: Gif Animation   
            Mov Animation

Vary c: Gif Animation  
            Mov Animation

Vary d: Gif Animation  
            Mov Animation

Generating Cosine
MAT

   Gif Animation  
   Mov Animation
Cosine functions
f(x) = a cos(b x) + d  and
f(x) = a cos(b (x+c)) + d
GSP
also an EXP file

Vary a: Gif Animation   
            Mov Animation

Vary b: Gif Animation   
            Mov Animation

Vary c: Gif Animation    
            Mov Animation

Vary d: Gif Animation  
            Mov Animation

Generating Tangent
MAT

   Gif Animation    
   Mov Animation
Tangent functions
f(x) = a tan(b x) + d  and
f(x) = a tan(b (x+c)) + d
GSP
also an EXP file

Vary a: Gif Animation    
            Mov Animation

Vary b: Gif Animation  
            Mov Animation

Vary c: Gif Animation   
            Mov Animation

Vary d: Gif Animation  
            Mov Animation

Generating cosecant
MAT
also a GSP file
  Gif Animation  
  Mov Animation
Generating secant
MAT
also a GSP file

  Gif Animation    
  Mov Animation
Generating cotangent
MAT
also a GSP file

  Gif Animation  
  Mov Animation 
Generating the inverse sine graph and function
MAT
also a GSP file

  The graph: Gif Animation     
                      Mov Animation 

  The function:
      separate graphs Gif Animation 
                               Mov Animation
      single graph       Gif Animation
                                Mov Animation

Generating the inverse cosine graph and function
MAT
also a GSP file

The graph: Gif Animation 
                 Mov Animation 

  The function:
      separate graphs Gif Animation 
                               Mov Animation
      single graph       Gif Animation 
                                Mov Animation

Generating the inverse tangent graph and function
MAT
also a GSP file

The graph: Gif Animation  
                  Mov Animation 

  The function:
      separate graphs Gif Animation  
                               Mov Animation
      single graph       Gif Animation     
                                Mov Animation

Zipped downloads ==>

Download (all) Gif and Mov Animations (large file)

Download (12) MATLAB files

Download (9) Geometer's Sketch Pad files

Download (3) Excel files

 

Other Selected Resources:

Credits: 

 

8/6/03DRH          Last updated  5/22/2006

As of 8/29/03