Module 4: Foundations of Trigonometry

 

In Try This 4 you created your own unit circle. Compare your unit circle to the one provided in The Unit Circle. Click on the 4, 8, and 12 buttons to see all of the values you completed in Try This 4.

 

 
This is a play button that opens The Unit Circle.

 

The applet can be used to determine the coordinates of a point on the circle given an angle of rotation. The applet can also be used to determine the angles of rotation in standard position when given the coordinates of the point on the unit circle.

 

Self-Check 3

 

Use your unit circle from Try This 4 to answer the following questions.

  1. If P(θ) is the point at the intersection of the terminal arm of angle θ and the unit circle, determine the coordinates of  on the unit circle as exact values. Answer
  2. Determine the central angle θ in the interval of  such that Answer

 

textbook

  1. Complete questions 4.b., 4.c., 4.g., 5.a., 5.e., and 6 on page 187 of the textbook. Answer
tip

You will want to keep the unit circle you created to use in upcoming lessons.

 

A copy of the unit circle will not be provided with the Diploma Exam. If you want to use the unit circle on the exam, you will need to remember a way to determine the angles and corresponding coordinates for the points on the unit circle. There are different strategies to do this. It is best to develop your own way to remember the patterns. You can search the Internet using the keywords “remembering the unit circle” for some ideas.



glossary

Add unit circle to your copy of Glossary Terms.

 

 




formula

Add the formula for the unit circle, x2 + y2 = 1, to your copy of Formula Sheet.