Spring 2014 Harland Trig Assignments (tentative)
I explain and show you how to graph almost all of the assigned graphs for this chapter on my videos. You might want to watch and copy the videos, and then try the problems on your own. Or you can try them on your own, and then check videos to see if you did them correctly. Make sure you can do each graph correctly. Label axes appropriately (with accurate spacing) and graph carefully making the waves curvy. Use graph paper for accuracy. Label pi on x-axis. What is most important is that you can do any and all of the ones on my videos on your own, without help. Videos for each section are at: https://sites.google.com/site/harlandclub/Home/math/trig/trigbook
Mon 2/10: Take Chapter 1 Test in Class.
HW: See below.
1st: In book, read from page 107 to top of page 111.
2nd: On my website, watch the first 3 videos in sections 2.1-2.2 for a better understanding of the unit circle and circular functions.
Trig Unit Circle Definition 1: http://youtu.be/4uglLG8thgU
Part 1 of Unit Circle definition for trigonometry, and shows how to find the ordered pairs for special angles on the unit circle.
Trig Unit Circle Definition 2: http://youtu.be/wwJwPTvZRL0
Part 2 of Unit Circle definition for trigonometry, and shows how to get the ordered pairs for special angles on the unit circle.
Trig Circular Functions (Unit Circle Definition 3): http://youtu.be/B8Fz3wM5fb8
Part 3 of Unit Circle definition for trigonometry. Defines the Circular Functions, relating them to the Unit Circle Definitions and graphing.
3rd: On page 116, do problems 1, 2, 3, 5, 6, 9, 11, 13, 15, 17.
4th: Graph 1-2 periods of #1-7. State the domain, range, period, amplitude. State or label the 5 key points on graph. SHOW HOW YOU DETERMINE THE 5 KEY POINTS. SHOW WORK.
1. y = sin(x) (Solution on Graph Sine Function 1 & Graph Sine Function 2)
2. y = 2sin(x) (Solution on Graph Sine Function 3)
3. y = 3sin(x) (Solution on Graph Sine Function 3)
4. y = (1/2)sin(x) (Solution on Graph Sine Function 3)
5. y = —sin(x) (Solution on Graph SineFunction 4)
6. y = —3sin(x) (Solution on Graph SineFunction 4)
7. y = (1/3)sin(x) (Solution on Graph SineFunction 4)
Wed 2/12: Reading 2.1 and 2.2 might be helpful.
HW: See below.
1st: Accurately graph 1-2 periods of 8-16. State the domain, range, period, and amplitude. State the vertical shift and/or phase shift if there is one. State or label the 5 key points on graph. SHOW HOW YOU DETERMINE THE 5 KEY POINTS. SHOW WORK.
8. y = sin(x) + 1 (Solution on Graph Sine Function 5)
9. y = sin(x) — 3 (Solution on Graph Sine Function 5)
10. y = 5sin(x) — 2 (Solution on Graph Sine Function 6)
11. y = —sin(x) + 1 (Solution on Graph Sine Function 6)
12. y = sin(x + π/4) (Solution on Graph Sine Function 7)
13. y = sin(x — π/3) (Solution on Graph Sine Function 8)
14. y = —2sin(x + 5π/6) (Solution on Graph Sine Function 9)
15. y = sin(x—π/2) + 3 (Solution on Graph Sine Function 10)
16. y = 3sin(x + π/6) — 1 (Solution on Graph Sine Function 11)
Watch videos GraphSine Function 12 & Graph Sine Function 13 then do #17.
17. Graph y = sin(2x) and state the period.
State the period for 18-20. Show work so it is clear how you determine the period.
18. y = sin(3x/4)
19. y = sin(3x)
20. y = sin(x/2)
On page 127 in the book, do problems 3, 5, 7.
Watch Videos labeled Graph Sine Function 14-20 before next class.
Wed 2/19: Reading 2.1 and 2.2, or watching my videos first, might be helpful.
HW: Graph 1-2 periods of #21-35 below. State the domain, range, period, and amplitude. State the vertical shift and/or phase shift if there is one. State or label the 5 key points on graph. SHOW HOW YOU DETERMINE THE 5 KEY POINTS. SHOW WORK.
21. y = sin(3x) (See Graph Sine Function 14)
22. y = 2sin(x/4) (See Graph Sine Function 15)
23. y = (—1/2)sin[(π/3)x] (See Graph Sine Function 16)
24. y = sin(2x) — 3 (See Graph Sine Function 17)
25. y = —sin(3x/2) (See Graph Sine Function 18)
26. y = (1/3)sin(2x + π) (See Graph Sine Function 19)
27. y = 4sin(3x — π/2) (See Graph Sine Function 20)
28. y = 2sin(3x + π) + 1 (See pg 122 Example 3)
29. y = (-1/2)sin(3x— π/2)—1 (See back of book, pg A-11 #25)
30. y = cos(x) (See Graph Cosine Function 1)
31. y = —cos(x) (See Graph Cosine Function 1)
32. y = (1/2)cos(x) (See Graph Cosine Function 2)
33. y = —3cos(x) (See Graph Cosine Function 2)
34. y = cos(x) + 2 (See Graph Cosine Function 3)
35. y = 2cos(x) — 3 (See Graph Cosine Function 4)
Watch these videos if you need Extra Help finding the 5 key points for the graph of sine and cosine.
Key Points Video 1: http://youtu.be/YoMD6ScqIK4
Key Points Video 2: http://youtu.be/Z7uNo9VQbEw
Mon 2/24: Reading 2.1 and 2.2, or watching my videos first, might be helpful.
HW: Graph 1-2 periods of #36-46 below. State the domain, range, period, and amplitude. State the vertical shift and/or phase shift if there is one. State or label the 5 key points on graph. SHOW HOW YOU DETERMINE THE 5 KEY POINTS. SHOW WORK.
36. y = cos(x + π/3) See Graph Cosine Function 5: http://youtu.be/kqVKytiTOss
37. y = —cos(x — π/4) See Graph Cosine Function 6: http://youtu.be/WeONrQHEMHY
38. y = 3cos(x — 2π/3) See Graph Cosine Function 7: http://youtu.be/rOTyicqQh6o
39. y = cos(x + 5π/6) + 1 See Graph Cosine Function 8: http://youtu.be/YqOtvQVtgG0
40. y = —2cos(x — π/6) —3 See Graph Cosine Function 9: http://youtu.be/9bQ2nZDZHAA
41. y = cos(3x) See Graph Cosine Function 10: http://youtu.be/p_VRKl0v9S8
42. y = —3cos(πx) See Graph Cosine Function 11: http://youtu.be/UA4bv8LN-TU
43. y = cos(x/2) + 3 See Graph Cosine Function 12: http://youtu.be/YRvbLOOoDUE
44. y = (1/2)cos(x/3) — 3 See Graph Cosine Function 13: http://youtu.be/TTLvQnakos0
45. y = 2cos(4x + π) See Graph Cosine Function 14: http://youtu.be/WnDrKqSnmVw
46. y = cos(3x/2 — 3π) + 1 See Graph Cosine Function 15: http://youtu.be/L3dTsQSNcKs
Wed, 2/26: Read 2.3 and graph the following 6 problems, stating the domain, range, period, and equations of asymptotes for each graph. SHOW WORK.
VIDEOS BELOW are for 2.3.
Graph Cosecant Functions
47. y=csc(x) See Cosecant 1: http://youtu.be/sK8ECyJRrgE
48. y=2csc(x) and y= —2csc(x) See Cosecant 2: http://youtu.be/Wso94ULXlEA
49. y=csc(2x/3) See Cosecant 3: http://youtu.be/8E3u0dy9wb0
Graph Secant Functions
50. y=sec(x) See Secant 1: http://youtu.be/ETtNBdWaeTY
51. y=(—1/2)sec(x) See Secant 2: http://youtu.be/skPWtIWPfB8
52. y=3sec(2x) See Secant 3: http://youtu.be/hP9Bqb-5hRo
Also, do these problems in 2.3 of book: 3-33, odd; 43
Mon 3/3: Read 2.4 and do the following problems, stating the domain, range, period, and equations of asymptotes for each graph. SHOW WORK.
VIDEOS BELOW are for 2.4.
53. y = tan(x) See Graph Tangent Function 1: http://youtu.be/oVk6BspWc7E
54. y = 3tan(2x/3) See Graph Tangent Function 2: http://youtu.be/NuyR204BJzw
55. y = —tan(πx/6) See Graph Tangent Function 3: http://youtu.be/N1FbZMynemk
56. y = cot(x) See Graph Cotangent Function 1: http://youtu.be/AEcTaHYpnOk
57. y = 2cot(2x) See Graph Cotangent Function 2: http://youtu.be/Gd-zOecn95U
Also, do these problems in 2.4 of book: 5-37, odd; 45
Wed 3/5: Complete these HW problems from the book at the end of Chapter 2, and the problems on the Review Sheet I will hand out.
Chapter 2 Review Problems: 11, 13, 15, 17, 19, 21, 25
Chapter 2 Test Problems: 1 – 8, 10
Spring Break—no class
Mon 3/17: Review for Ch. 2 Test
Wednesday 3/9: Test over Chapter 2 (sections 1-4)