TRIG WORKSHEET—SUM/DIFFERENCE IDENTITIES
SUM/DIFFERENCE IDENTITIES NAME____________
Using the sum & difference identities, condense each of the following and express as a trig function of a single angle. Verify numerically using a calculator.
1. [pic] 2. [pic]
3. [pic] 4. [pic]
5. [pic] 6. [pic]
Use the sum & difference identities with unit circle values to find exact answers for the following:
7. [pic] 8. [pic]
Given: [pic] , [pic], and [pic] , [pic], find the following:
HINT: Draw unit circle angle for alpha and beta first
9. [pic] 10. [pic] 11. [pic]
If [pic] and [pic] is in the third quadrant, find the following:
12. [pic] 13. [pic]
Verify the following identities.
14. [pic] 15. [pic]
16. [pic] 17. [pic]
18. [pic]
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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