Module 5: Trigonometry Applications and Identities

 

Discover
 
Try This 1

 

Use Tangent Geogebra to complete the following questions.

 

 

This play button opens Tangent Geogebra.

  1. Use Tangent Geogebra to help you complete the following table. You may not be able to fill in all the spaces. Arrow keys can be used to change the angle slider in small increments.

    Terminal Arm Angle (°)

    x-Coordinate of Intersection

    y-Coordinate of Intersection

    –90

     

     

    –75

     

     

    –60

     

     

    –45

     

     

    –30

     

     

    0

     

     

    30

     

     

    45

     

     

    60

     

     

    75

     

     

    90

     

     

    135

     

     

    180

     

     

    225

     

     

    270

     

     

    315

     

     

    360

     

     

    390

     

     
  2. Graph the y-coordinate of the intersection versus the terminal arm, θ, on the following coordinate plane.

     
    This coordinate grid shows values of theta from –90 to 405 on the horizontal axis and values of y from –4 to 4 on the vertical axis.
  3. Sketch what you think the graphs will look like for θ < −90° and θ > 390°.

course folder Save your answers in your course folder.

 

Share 1

 

With a partner or group, discuss the following questions based on your graph created in Try This 1.

  1. What happens to your graph when the terminal arm in Tangent Geogebra is vertical (such as −90°, 90°, or 270°)?
  2. How is this graph similar to the sine graph you drew in Module 4? How is it different?

course folder If required, save a record of your discussion in your course folder.