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# Unit v review

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• ### Unit v review

1. 1. Start Playing Jeopardy
2. 2. Final Jeopardy Triggy Identities G-Unit Grrrraff’s How HOT are you feeling? Created by Adam Garry, Co-nect 100 100 100 100 100 200 200 200 200 200 400 300 300 300 300 300 400 400 400 400 500 500 500 500 500 .
3. 3. Category 1 100 Answer
4. 4. Answer Category 1 100 1
5. 5. Category 1 200 Answer
6. 6. Answer Category 1 200
7. 7. Category 1 300 Answer
8. 8. Answer Category 1 300 2
9. 9. Category 1 400 <ul><li>Give the following criteria: </li></ul><ul><li>Find </li></ul>Answer
10. 10. Answer Category 1 400
11. 11. Category 1 500 <ul><li>Evaluate the following Expression. </li></ul>Answer
12. 12. Answer Category 1 500 -1
13. 13. <ul><li>What is the definition of a degree? </li></ul>Category 2 100 Answer
14. 14. Answer Category 2 100 <ul><li>A degree is a form of measure when two rays form a vertex. </li></ul><ul><li>It is a measure of an angle. </li></ul>
16. 16. Answer Category 2 200 A radian is the length of the radius around the circumference (Arc Length) of a circle. It is another measure of an angle.
17. 17. Category 2 300 <ul><li>Convert the following from radians to degrees. </li></ul>Answer
18. 18. Answer Category 2 300
19. 19. Category 2 400 Answer How many radians are in a circle?
20. 20. Answer Category 2 400 <ul><li>A little more than 6… </li></ul><ul><li>To be exact </li></ul>
21. 21. Category 2 500 <ul><li>If the central angle of a circle is </li></ul><ul><li>and the radius is 7 inches, what is the Arc Length and the area of the sector? </li></ul>Answer
22. 22. Answer Category 2 500
23. 23. Category 3 100 <ul><li>What is the period, domain and range of ? </li></ul>Answer
24. 24. Answer Category 3 100
25. 25. Category 3 200 <ul><li>What are the asymptotes of ? </li></ul>Answer
26. 26. Answer Category 3 200
27. 27. Category 3 300 <ul><li>What is the similarity of a Sine and Cosine graph? </li></ul>Answer
28. 28. Answer Category 3 300 <ul><li>The Sine function is a Phase Shift of the Cosine function shifted to the right </li></ul><ul><li>The Cosine function is a Phase Shift of the Sine function shifted to the left. </li></ul>
29. 29. Category 3 400 <ul><li>Describe the transformations that occur to the following function. </li></ul>Answer
30. 30. Answer Category 3 400 <ul><li>Period (Horizontal Compression): </li></ul><ul><li>Phase Shift: right </li></ul><ul><li>Amplitude (Vertical Stretch): 6 </li></ul><ul><li>Reflected over x-axis </li></ul><ul><li>Vertical Shift: Up 3 </li></ul>
31. 31. Category 3 500 Answer What transformation occurred to the following graph? What is an equation for this graph? HINT: Do not worry about horizontal shifts, horiz. compressions, or horiz. stretches.
32. 32. Answer Category 3 500 The amplitude increased to 6. There was a vertical stretch.
33. 33. Category 4 100 <ul><li>What is the radius of the Unit Circle? </li></ul>Answer
34. 34. Answer Category 4 100 <ul><li>1 </li></ul>
35. 35. Category 4 200 <ul><li>Evaluate the following. </li></ul>Answer
36. 36. Answer Category 4 200
37. 37. Category 4 300 <ul><li>Evaluate the following Trigonometric Expression. </li></ul>Answer
38. 38. Answer Category 4 300 1
39. 39. Category 4 400 <ul><li>Evaluate the following: </li></ul>Answer
40. 40. Answer Category 4 400
41. 41. Category 4 500 Answer
42. 42. Answer Category 4 500
43. 43. Category 5 100 <ul><li>What is the Period for the following function? </li></ul>Answer
44. 44. Answer Category 5 100
45. 45. Category 5 200 <ul><li>What is a Phase Shift? </li></ul>Answer
46. 46. Answer Category 5 200 A Phase Shift is a horizontal shift in a trig. Function. It is represented by the following symbols: OR
47. 47. Category 5 300 <ul><li>Answer </li></ul>What is the amplitude and y-intercept of the following?
48. 48. Category 5 400 <ul><li>What is the Phase Shift of the following equation? Explain, in words, what happens. </li></ul>Answer
49. 49. Answer Category 5 400 <ul><li>The Cosine graph moves to the right. </li></ul><ul><li>The local maxima is no longer on the y-axis but is when x = </li></ul>
50. 50. Category 5 500 Answer Solve the following equation:
51. 51. Answer Category 5 500 <ul><li> </li></ul>
52. 52. Final Jeopardy Answer Final Jeopardy Music Given the following Scenario: Suppose that the length of time between consecutive high tides is approximately 10.5 hours. According to the National Oceanic and Atmospheric Administration, on Saturday, August 23, 2008, in South Padre Island, Texas, high tide occurred at 2:45 AM (2.75 hours) and low tide occurred at 8:04 AM (8.067 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 9.3 feet, and the height of the water at low tide was -0.9 foot. Write a sinusoidal function for the situation above.