1. Trigonometric Functions:
Section 6.2
Trigonometric Functions:
Unit Circle Approach

2. Objectives
Find the exact values of the trigonometric functions using a point on the unit circle.
Find the exact values of the trigonometric functions of quadrantal angles.
Find the exact values of the trigonometric functions at the key angles on the unit circle.
Use a calculator to approximate the value of a trigonometric function.
Use a circle of radius r to evaluate the trigonometric functions.

6. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

7. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

8. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

9. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

10. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

11. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

12. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

13. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

18. Make a second congruent triangle.
This triangle is equilateral so all sides are 1. 2a = 1 so a = .
Use Pythagorean Theorem to find b.

20. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

25. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

27. Your calculator has buttons for sin, cos, and tan so to find values of the remaining 3 trigonometric functions we use:

28. CHANGE MODE TO RADIANS

31. Homework:
6.2 #8-13 all, 21, 35, 41, 47, 51, 55, 61, 65, 69, 77