1. 5.3 Solving Trigonometric Equations

2. What are two values of x between 0 and When Cos x = ½ x = arccos ½

3. How do you find What is the period of the Cosine function?

4. How to you find What is the period of the Cosine function? minus

5. Why does this work? Look at the Cosine function, there are many times it equals ½ We limited it to 0 to

6. If we wanted all the answers to cos x = ½ The answers would be Where n is an integer

7. Solve for x

9. Solve for x for

10. Set each factor equal to 0 Solve ( remember the period for tan is )

11. Set each factor equal to 0 Solve ( remember the period for tan is )

12. When solving a trig equation, you must have only one function Solve for x where the domain is

13. When solving a trig equation, you must have only one function Solve for x where the domain is

14. When solving a trig equation, you must have only one function Solve for x where the domain is

15. When solving a trig equation, you must have only one function Solve for x where the domain is

16. When solving a trig equation, you must have only one function Solve for x where the domain is

17. When solving a trig equation, you must have only one function Solve for x where the domain is

18. Solve for x Let 2x = u

19. Solve for x Let 2x = u

20. Solve for x Let 2x = u

21. Solve for y: Domain Let sin y = u

22. Solve for y Range Let sin y = u

23. Solve for y Let sin y = u

24. Solve for y: domain We have to give all the answers

25. Solve for y: domain We have to give all the answers

26. Homework Page 376 – 379 #5, 9, 17, 22, 28, 35, 57, 28, 35, 57, 61, 73 61, 73

27. Homework Page 376 – 379 #3, 7, 12, 20, 25, 31, 56, 60, 71, 87