TRIG WORKSHEET—SUM/DIFFERENCE IDENTITIES



REVIEW—SUM/DIFFERENCE IDENTITIES NAME____________

#1-6. Using the sum & difference identities, condense each of the following and express as a trig function of a single angle.

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

#7-8. Use the sum & difference identities with unit circle values to find exact answers for the following:

7. [pic] 8. [pic]

#9-11. Given: [pic] , [pic], and [pic] , [pic], find the following:

9. [pic] 10. [pic] 11. [pic]

#12-13. If [pic] and [pic] is in the third quadrant, find the following:

12. [pic] 13. [pic]

#14-18. Verify the following identities.

14. [pic] 15. [pic]

16. [pic] 17. [pic]

18. [pic]

#19-21. Solve each of the following equations over the interval [pic].

19. [pic]

20. [pic]

21. [pic]

Answers: 1. [pic] 2. [pic] 3. [pic] 4. [pic]

5. [pic] 6. [pic] 7. [pic] 8. [pic] 9. [pic]

10. [pic] 11. [pic] 12. [pic] 13. [pic] 19. [pic]

20. [pic] 21. [pic]

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