Lesson 1

Discover

 

Try This 1

 

Use Tangent Geogebra to complete the following questions.

 

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.
   
   
    
   
   
3. Sketch what you think the graphs will look like for θ < −90° and θ > 390°.

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?

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