1. Solving Trigonometric Equations
Section 5.3
Solving Trigonometric Equations

2. Objective By following instructions students will be able to:
use standard algebraic techniques to solve trigonometric equations.
solve trigonometric equations of quadratic type.
solve trigonometric equations involving multiple angles.
use inverse trigonometric functions to solve trigonometric equations.

3. Example 1: Solving a Trigonometric Equation.

4. Example 2: Collecting Like Terms
Find all solutions of in the interval

5. Example 3: Extracting Square Roots
Solve .

6. Example 4: Factoring
Solve

7. Example 5: Factoring an Equation of Quadratic Type
Find all solutions of in the interval .

8. Example 6: Rewriting with a Single Trig Function
Solve

9. Example 7: Squaring and Converting to Quadratic Type
Find all the solutions of in the interval

10. Example 8: Functions of Multiple Angles
Find all solutions of

11. Example 9: Functions of Multiple Angles
Find all solutions of

12. Example 10: Using Inverse Functions
Find all solutions of

13. Revisit Objective Did we…
use standard algebraic techniques to solve trigonometric equations?
solve trigonometric equations of quadratic type?
solve trigonometric equations involving multiple angles?
use inverse trigonometric functions to solve trigonometric equations?

14. Homework
Pg 400 # 1-6 ALL, ODD