Trig HW Spring 2016

HW #0 - 0794 - Due 1/25 0796 Due :1/21 Review Functions: (Approx 1 hour) Either read pgs 478-485 & 489-495 OR watch the "Function review" videos listed below under Course Materials: Review. For this HW only you will not turn in notes for the videos or reading because these are review. Use the videos/book to help you review what you need to be able to do the following problems: Book Problems: (Approx 1.5 hours )(These are from the appendix of the book) A-1 (starts pg 485): 2, 3, 4, 5, 9, 13, 15, 17, 19, 21, 23, 35, 43, 57, 60 A-2 (starts pg 495): 1, 2, 3, 6, 7, 8, 9, 11, 17, 23, 26, 44ab

HW #1 - 0794 - Due 1/27 0796 Due :1/26 Videos: (Approx 30 min) Watch the videos and write the identities on the HW page 1.4, handed out in class for notes. Take notes on the proofs also. Both notes and identities are required as part of the HW. Links to the videos are provided below under Course Materials: Ch 1 Ch 1: Trig Identities A L2 (4:49) Ch 1: Trig Definitions L1 (12:51) Ch 1: Trig Identities B L3 (4:57) Cerego: (Approx 30 min) Vocabulary practice. Load Cerego onto your computer or smartphone. In "search" screen type in "trignometry." Scroll down and find "Trigonometric functions by Maynard Wellington." It has 2 items in it. Click on Learn. Then click on start. Learn these two facts about sin and cos. Book Problems: (Approx 2 hours) 1.1: 11, 13, 15, 17, 21, 25, 29, 31, 35, 37 1.2: 9, 11, 13, 15, 23, 33, 35, 45, 61, 63, 69, 71 1.3: 7, 9, 11, 13, 19, 21, 23, 25, 43, 47, 49, 53, 57, 59, 61, 71

HW #2 - 0794 - Due 2/3 0796 Due : 2/2 Videos: (Approx 30 min) For each of the following videos take notes, write down the definitions, work out the problems along with the videos. Write the title of the video at the beginning of each of your notes. Turn these in with your HW.  Trig functions of acute angles (6:09)  Trig Proofs - incorrect assumptions L8 (5:40)  Trig Proofs - correct examples L9 (8:47) Cerego: (Approx 1 to 1.5 hours) (1) Find "Trigonometry by Kamal Handoo." Click on Learn and then Start. There are 5 items in this one. Learn them, and review the two from the previous HW. (2) Find "Trigonometry Flashcards by Mike Dentino." This one has 61 items. Try to learn the first 5- 10 items. You will continue working on these flashcards for the next HW also. If topics show up that we haven't covered, look them up. This will give you a headstart on understanding what we do next. (3) On your HW write down 2-3 flashcards that you are having trouble understanding. If you understand them, then write down 2-3 flashcards that you know well. Ask about the troublesome ones during class. Book Problems: (Approx 2 hours) 1.3: 29, 55, 67 1.4: 9, 11, 17, 27, 31, 39, 45 1.5: 3, 15, 23, 33, 49, 53, 63, 73, 81, 89, 95 2.1: 7, 9, 13, 19, 27, 33, 37, 47, 59 2.2: 9, 13, 17, 19, 23, 25, 29

HW #3 - 0794 - Due 2/10 0796 Due : 2/9 Videos: (Approx 30 min) For the following video watch and take notes. Write down the problem and the calculator steps. Turn this in with the HW.  Trig ratios of complementary angles (2.1) (10:13)  Elevation and depression example problems with calc inst (11:02) Cerego: (Approx 1.5 hours) Continue with "Trig Flashcards by Mike Dentino" Learn at least 30 more of the cards. On your HW page, write down 3-4 new flashcards that you are either having trouble understanding or that you now have memorized. Ask about the troublesome ones during class. Book Problems: (Approx 2-3 hours) 1.2: 31, 47 1.3: 15, 27, 51 1.4: 47 1.5: 27, 85 2.1: 29, 45 2.2: 15, 31, 33, 37, 45, 49, 51, 55, 57, 59 2.3: 11, 19, 21, 25, 29, 35, 39, 43 2.4: 17, 19, 21, 23 Further study for the exam: (Approx 2 hours) Review class notes and class problems. Review previous HW problems. Take special note of those that gave you trouble and try to re-work them without looking at the solutions. Also note any identities that you still need to memorize and memorize them.

HW #4 0794(MW) - 2/29 0796(TTh) Due : 2/23

Videos: (Approx 30 min) For the following video watch and take notes. Write down the problems and the calculator steps. For the unit circle video a notepage has been provided for you to fill out. Turn all video notes, EACH titled with the video title, and the unit circle paper in with the HW.  3.1 Reference Angles (5:44) Make own notes  How to remember the unit circle cc (12:02), unit circle handouts  Finding exact values of trig functions: Video 1: https://www.youtube.com/watch?v=NDct0Se3Q3k make own notes (3:10) Video 2: https://www.youtube.com/watch?v=9OdJ54fGgVs make own notes (5:07)

Vocabulary: 1) Make a list of the pertinent vocabulary from the sections of HW covered below. List them by section of the book. Define them in any way that makes sense to you, picture, diagram, words. Turn this labeled and organized vocabulary list in with your HW. 2) Make a list of pertinent vocabulary/problem types from Exam 1 that you need to study to improve your score on the next exam. Title this Review Vocabulary/Topics. Turn this in with your HW

Book Problems: (Approx 2-3 hours) 2.4: 31, 33 2.5 11, 15, 19, 23, 25, 29, 31, 35 3.1 9, 11, 13, 17, 23, 29, 37, 41, 43, 55, 63 , 71, 73 HW 5: MW – 2/29 TTh due 3/1 Videos: (approx 1 hour) For each of the following take notes. Clearly title each set of notes with the title of the video. Turn these notes in with your HW.  3.2 Converting between radians and degrees cc (14:04)  3.4 Geometry Review: Finding Arclength cc (9:30)  3.5 Intro to angular velocity cc (Khan Academy) (8:09)  3.5 Relationship between angular velocity and speed cc (Khan Academy) (9:23)

Vocab: (Approx 30 min) Make a list of the pertinent vocabulary from the sections of HW covered below. List them by section of the book. Define them in any way that makes sense to you, picture, diagram, words. Turn this labeled and organized vocabulary list in with your HW. Book Problems: (Approx 2-3 hours)

3.2 7, 9, 13, 15, 17, 45, 49, 57, 61, 67, 69, 75, 81 3.3 11, 13, 19, 21, 25, 27, 31, 71, 73, 75, 77, 79 3.4 7, 9, 11, 15, 17, 19, 25, 31, 37, 41, 45, 47, 53, 57

HW 6: MW - 3/7 TTh - 3/8

*** This HW is a little longer than the others because it includes review for Exam 2. Be sure to start on this right away so you will be able to review and ask questions on all important topics for the Exam 2. ***

Videos: (Approx 2.5 hours) Watch each of the following videos. Pause every 5 min or so and write down what you have learned. These are intended to be more "watch and learn a concept" videos.

Trigonometry - Easy to understand 3D animation (16:28)

Graph of tangent function (2:24) cc

Transformations of Trig functions (30:47)

Trig: Unit Circle (47:35) <- This video is a great review of the unit circle to help review for the test. Just write down the concepts that you still need to remember as you watch this.

Vocab: : (Approx 30 min) Make a list of the pertinent vocabulary from the new sections of HW covered below. (I.e if we’ve already done vocabulary for that section in a previous HW you don’t need to redo it.) List them by section of the book. Define them in any way that makes sense to you, picture, diagram, words. Study these terms to help you with the exam. Turn this labeled and organized vocabulary list in with your HW.

Book Problems: (Approx 3 hours)

3.5 7, 9, 13, 15, 17, 19, 25, 27, 31, 35, 37, 45 4.1 14, 17, 20, 26, 30, 34, 37, 39, 41, 43, 51, 53, 55 4.2 13, 15, 27, 31, 33, 35, 37, 39, 45, 47, 51, 53, 59 Cumulative Test 1-3 (pg 176-177) 1, 4-10all, 13, 14, 16-19all, 21 - 30all HW #7 MW 3/28 TTH 3/29

Videos: (Approx 1 hr ) For each of the following take notes. Clearly title each set of notes with the title of the video. Turn these notes in with your HW  Trig Identity Sin (A+B) L4 (7:35) - 5.2  Trig Identity Cos(A +B) L5 (5:42) - 5.2  Trig Identity Double Angle L6 (3:14) - 5.3  Tips for proving identities (12:30) - Ch 5  Trig Identities - Example problems - (8:09) - Ch 2 & 5

Vocab: (Approx 30 min) Make a list of the pertinent vocabulary from the new sections of HW covered below. (I.e if we’ve already done vocabulary for that section in a previous HW you don’t need to redo it.) List them by section of the book. Define them in any way that makes sense to you, picture, diagram, words. Study these terms to help you with the exam. Turn this labeled and organized vocabulary list in with your HW. If you have trouble finding vocabulary you can do the “Concept and Vocabulary” questions from each new section. These are located at the beginning of each section’s problem set.

Book Problems: (Approx 2 hours) 3.2 14, 63 3.5 39, 45 4.1 15, 18, 24, 31 4.3 11, 15, 17, 25, 31, 45, 49, 53, 57, 61 4.5 5, 7, 9, 11, 13, 15, 17, 21, 25, 31 + vocab! 4.7 17, 21, 25, 29, 31, 35, 39, 41, 43, 55, 59, 63, 67, 73, 75, 77, 79, 81, 83, 85 + vocab! 5.1 15, 19, 25, 27, 31, 37 + vocab!

HW #8 MW 4/4 TTH 4/5

Videos: (Approx 1.5 hours) For each of the following take notes. Clearly title each set of notes with the main title of the Khan Academy page ANDeach section. Turn these notes in with your HW  Inverse Functions - explained in Khan Academy (7 parts) - Do all 7 parts: (1) Intro to arcsine, (2) Intro to arctan, (3) intro to arccos, (4) evaluate inverse trig functions, (5) restricting domains to make them invertible, (6) domain and range of inverse trig functions, (7) using inverse trig functions with calculator  Khan Academy - Review of Trig addition identities (6 parts) - Do all 6 parts that are listed along the left side: (1)Review of trig angle addition, (2) Using the cosine angle, (3) Using the cosine double angle, (4) Using trig angle addition, (5) proof of sine angle addition, (6) Proof of cosine

Vocab: : (Approx 15 min) Make a list of the pertinent vocabulary from thenew sections of HW covered below. (I.e if we’ve already done vocabulary for that section in a previous HW you don’t need to redo it.) List them by section of the book. Define them in any way that makes sense to you, picture, diagram, words. Study these terms to help you with the exam. Turn this labeled and organized vocabulary list in with your HW. If you have trouble finding vocabulary you can do the “Concept and Vocabulary” questions from each new section. These are located at the beginning of each section’s problem set.

Book Problems: (approx 1-2 hours) This includes review problems to start preparing for the next Exam.

2.4 59, 60 2.5 37 3.1 39 , 59, 77 3.4 39 5.1 45, 51, 55, 59, 61, 63, 65 5.2 11, 15, 19, 25, 29, 31, 43, 47, 49, 57, 59 + vocab 5.3 9, 11, 15, 17, 29, 33, 37, 43, 47, 51, 55, 59 + vocab HW #9 MW 4/13 TTH 4/14

Videos: (Approx 1.5 hours) For each of the following take notes. Clearly title each set of notes with the main title of the video. Turn these notes in with your HW

 Solving equations with single angles (18:01)  Solving equations with single angles - ALL possible solutions (19:47)  Solving equations with multiple angles (21:07)

Book Problems: (approx 1-2 hours) This includes review problems to start preparing for the next Exam.

2.4 58 3.2 51, 86 3.4 51 3.5 21, 29, 41, 47 5.2 33, 51, 61 5.3 35, 51 5.5 11, 13, 15, 17, 19, 21 + vocab 6.1 7, 15, 17, 21, 27, 29, 37, 39, 45, 47, 49, 71, 73, 75 6.2 9, 11, 17, 21, 23, 27, 29, 41, 45 Pg 358-359 “Cumulative Test 1 – 6”: For problems 1 – 20 pick eight of these that you most need to practice and do them. Turn them in. Do all of the following: 21, 22, 23, 24, 26, 27, 28, 29 Turn these in also.

HW #10 MW 4/25 TTH 4/26

Videos: (Approx 1.5 hours) For each of the following take notes. Clearly title each set of notes with the main title of the video. Turn these notes in with your HW

 Law of sines Khan Academy (For this one go through all four choices on the left-hand side of the screne and take notes. For the choice where you do a practice problem, do the problem writing yoru work down on the page you turn in with your HW.  Law of cosines

Vocab: You will be answering the section concept/vocabulary questions this time. You will need to read a bit of the chapter to find the answers to some of these questions. Some we went over in class.

Book Problems: (approx 1-2 hours)

You will need to read a bit of the chapter in order to answer the concept and vocabulary questions.

7.1 1, 2, 3, 4, 7, 11, 15, 17, 21, 27, 29, 31 7.2 1, 2, 4, 5, 6, 7, 8, 13, 17, 21, 23, 25, 27, 29, 31, 37, 39 1.2 77, 83 1.3 28, 30, 63 (see instructor for answer key for even problems) 2.3 49, 51 2.4 9, 11, 30, 24 (see instructor for answer key for even problems) 2.5 1, 2, 3, 4, 5, 6, 9, 21, 26

HW 11 Due: M 5/9 Tu 5/10

****You have TWO weeks to do this work. It will take ALL that time if you plan on actually learning the material to be prepared for the final. Start on each section as we work on it so you don't get behind! *****

Videos: (Approx 1 hour) For each of the following take notes. Clearly title each set of notes with the main title of the video. Turn these notes in with your HW. I think you will find these worth your time.

 Vector Intro (approx 12 min)  Trig force problem (approx 12 min) This is ONE way to solve the problem.  Expressing complex number in polar form part I, part II, part III (approx 3 min each)  Mulitplying and dividing complex numbers (7:22)  De Moivre's Theorem for powers of complex numbers part I, (approx 3 min)

Book Problems: (approx 3-5 hours)

1.4 21, 25, 39 1.5 35, 41, 69, 83 2.1 51, 55 2.2 41, 63, 67 6.3 19, 23, 29, 31, 33, 41, 45, 51 7.5 17, 221, 27, 33, 39, 45, 49, 51, 53, 55, 57, 61, 63 + vocab 8.1 17, 19, 23, 27, 29, 31, 37, 39, 43, 47, 49, 57, ,59, 63, 67, 71, 73 + vocab 8.2 11, 13, 17, 19, 25, 31, 33, 37, 41, 43, 47, 51, 53, 57, 59 + vocab 8.3 5, 9, 13, 19, 23, 27, 31, 35, 39, 41 + vocab

Optional Review problems

4.1 4.2 4.3 4.5 6.1 43, 51 6.2 19, 31 6.3 35, 49