Guided Notes

1. Can you describe an angle given a right triangle and/or using the unit circle?

2. Can you convert from degrees to radians and radians to degrees?

3. Do you understand the definition of a radian?

4. What is the relationship between the unit circle and radian measure?

5. What is the difference between 180 angle rotation and a negative 180 degree rotation?

6. Identify a unit circle and describe its relationship to real numbers.

7. Is the measure of an angle of rotation in standard position completely determined by the position of its terminal side.

8. Define the specific functions of the unit circle.

9. Memorize both the degrees and the radian values of the unit circle.

10. Use special triangle (30-60-90; 45-45-90) ratios to label a given point on the unit circle.

11. Evaluate trigonometric functions using the unit circle.

12. How do you find the reference angle and apply it?

13. Learn how to calculate points on the graph using a calculator.

14. Use the domain and period to evaluate sine and cosine functions.

The importance of the unit circle in mathematics should not be underestimated. The properties contained within the circle are necessary for an understanding of trigonometry. This allows for an understanding of various forms of oscillating patterns, which are very different from the previous functions we have studied.

1. Unit Circle

2. Blank Unit Circle

3. Trigonometry Cheat Sheet

4. Radians and Degrees - Summary Note 1

5. Radians and Degrees - Summary Note 2

6. Notes for Right Triangle Trigonometry Note 1

7. Notes for Right Triangle Trigonometry Note 2

8. Basic Right Triangle Trigonometry Note 3

9. Practice 1: Angles and Unit Circle Values

10. Practice 2:Intro to Trigonometry

11. Practice 3: Coterminal Angles

12. Practice 4:Using the Unit Circle

13. Practice 5:Finding the Reference Angle

14. Practice 6: Find the missing angle worksheet (with solutions)

15. Practice 7: Sine, Cosine and Tangent Practice (with solutions)

1. The Easiest Way to Memorize the Trigonometric Unit Circle

2. Master the Unit Circle

3. Introduction to the Unit Circle

4. What is 1 radian?

5. Intro to Radians

6. Reference Angle

7. Reference Angle for an Angle, Ex 1 (Using Degrees)

8. Converting degrees to radians

9. Converting an angle from degrees to radians

10. Converting radians to degrees

11. Convert an angle from radians to degrees

12. Converting a negative angle in degrees to radians

13. Degrees and Radians and Converting Between Them! Example 1

14. Degrees and Radians and Converting Between Them! Example 2

15. Setting up the Unit Circle Part 1 and Reference Angle

16. Coterminal Angles - Example 1

17. Determine two coterminal angles positive and negative

18. Basic Trig

19. The Trigonometric Functions: The Basics! Example

20. Right Triangle Trigonometry Part 1: Finding Missing Sides

21. Right Triangle Trigonometry Part 2: Solving for Acute Angles

22. Solve the Right Triangle

23. Evaluating Trig Functions w/Unit Circle Degrees & Radians

24. Evaluating Trigonometric Functions Using the Reference Angle, Example 1

25. Evaluating Trigonometric Functions Using the Reference Angle, Example 2

26. Trigonometric Functions of Any Angle

27. Example: Calculator to evaluate inverse trig function

28. Evaluating Trigonometric Functions Using the Reference Angle, Example 1

29. How to evaluate for cos without using a calculator or the unit circle

30. Trig Word Problems "OK Guy"