Math 25: Unit 5 (7th edition)

Math 25: Unit 5

Unit 5 Target Date: Tuesday, March 10

Unit 5 DEADLINE Date: Friday, March 13

Note: The information on this page is for the 7th edition of the textbook.
Click here for the 8th edition information.
Click here for the 6th edition information.

Table of Contents:: Topics
Study Guidelines
Unit Written Assignment
Unit Pretest and Exam Description
Checklist

Topics
In this unit you will learn more about the trigonometric functions. In order to use them for solving real-world problems, you need to know more about their relationships with each other through the various trigonometric identities.

Basic identities, including Pythagorean identities (7.3)
Identity verification and disproving false identities (7.3)
Sum and difference formulas (7.4)
Cofunction identities (identities 3(a) and 3(b)) (7.4)
Double-angle and half-angle formulas (7.5)
Product-to-Sum Formulas (7.6)
Sum-to-Product Formulas (7.6)

You will need to memorize the following formulas:

Basic Identities (pages 608-9 in section 7.3)
Sum, difference, and cofunction identities for sine and cosine (formulas 1-5 in section 7.4)
Double-angle and half-angle identities for sine and cosine (formulas 1-4, 6, 7, 10ab in section 7.5)

When you take the Unit 5 exam, you can pop up a window containing this formula sheet with other identities not listed above.

Study guidelines for the 7th edition of Sullivan's Algebra and Trigonometry

These reading and problem assignments are designed to help you learn the course material. You should complete all of these problems, check your answers in the back of the textbook, and get help with the problems that you missed. Most of the problems are odd-numbered, so you can check the solutions in the Solutions Manual.

The only way to learn mathematics is to do mathematics, so while these problems will not be graded carefully, you will probably not do well in the course if you do not complete these and check your work as described above. After completing these problems, go on to the Unit Exam Description below and follow directions.

Section 7.3: Trigonometric Identities
- Reading: section 7.3
  Read and work through examples 1-9 and their matched problems.
- The textbook does not talk about how to disprove false identities, but it is very simple. See the supplementary material on disproving identities for a brief discussion.
- Practice Problems: 7.3 #1, 2, 9-17 odd, 19, 23, 27, 31, 35, 39, 43, 45, 49, 53, 55, 57, 61, 65, 69, 71, 75, 79, 83, 91, 93, 97, 99, 103
Section 7.4: Sum and Difference Formulas
- Reading: section 7.4
  Read and work through examples 1-10 and their matched problems.
- Note that the cofunction identities (formulas 3ab) have degree versions as well.
- Practice Problems: 7.4 #1-3, 11, 15, 17, 23, 25, 27, 31, 33, 35, 37, 39, 43, 45, 49, 51, 53, 55, 61, 77, 79, 81, 83, 89, 93
Section 7.5: Double-Angle and Half-Angle Formulas
- Reading: section 7.5
  Read and work through examples 1-6 and their matched problems.
- Practice Problems: 7.5 #7, 11, 15, 19, 21, 23, 29, 35, 39, 43, 47, 51, 53, 55, 57, 59, 61, 75, 83
Section 7.6: Product-Sum and Sum-Product Identities
- Reading: section 7.6
  Read and work through examples 1-2 and their matched problems.
- Practice Problems: 7.6 #1, 5, 9, 11, 13, 15, 17, 19, 23, 29, 31, 33, 35
Supplementary material (optional):
- Student Solutions Manual
- CD lecture series (step-by-step video examples on CD)
  - Section numbering on the CD's corresponds to the 7th edition of the textbook.
- Video lectures are available on reserve in the CR library.
  - Section numbering on the video lectures corresponds to the 6th edition of the textbook. Use the section correlation guide to find the corresponding sections for the 7th edition.
- For tutoring help, visit the Prentice Hall Math Tutor Center. Tutors can be contacted by phone, fax, or e-mail. To register, you will need to use your access code.
- Graphing Calculator Help

Unit 5 Written Assignment

See Blackboard for Written Assignment and Blackboard Assignment.

Be sure to read and follow the 'General Guidelines' (look in Blackboard).

Unit 5 Pretest and Exam Description
After completing the above work, do the following:

Read the exam description:
- Pretests count as 20% of your course grade, and Unit Exams count for 35%.
- Each unit exam has a one hour time limit.
- All questions on this exam require an exact answer. You should not try to use a calculator approximation for any of these questions.
- Be sure to look under the entry box for the type of answer expected.
  - Some problems expect several answers. You have to enter these in the order requested in the problem, separated by commas. For example, if the question is What are cos x, sin x, tan x?, your answer might be 1/2,sqrt(3)/2,sqrt(3).
- Make sure your calculator is set to the correct mode (radians or degrees) for each problem.
- You will need to memorize the following formulas:
  - Basic identities (pages 608-9 in section 7.3)
  - Sum, difference, and cofunction identities for sin and cos (formulas 1-5 in section 7.4)
  - Double-angle and half-angle identities for sin and cos (formulas 1-4, 6, 7, 10ab in section 7.5)
  When you take the exam, at the top of each page there is a link to a popup window containing this formula sheet with all of the other identities not listed above.
- In previous classes, the more difficult topics were:
  - problems involving the half-angle identities
  - problems involving sum and difference identities for tangent
Complete the online Unit 5 Pretest assignment. You may use your book if you wish, and redo the pretest as many times as you like. Your pretest score will be scaled -- each pretest counts equally, and they comprise 20% of your grade.
- Directions: At the testing web site, choose the Unit 5 Pretest/HW assignment.
- The pretest must be completed by the deadline date listed in Optimath.
  However, you may redo the pretest as many times as you like before the deadline date. Your best score counts.
If you are having trouble with any of the problems listed above or on the pretest or practice exams, make use of the help resources listed on the "Help" handout.
Go to the Academic Support Center to take the online proctored Unit 5 Exam assignment. Remember to bring identification, and remember that you will not be able to take the unit exam after the deadline date given at the top of this page. You may NOT use your book or notes on this exam.
- Directions: At the testing web site, choose Unit 5 Exam.
- The proctored unit exam must be completed by the deadline date listed at the top of this page, and may be repeated under certain conditions.
Note: Remember that you can always go back and take practice exams on this unit after the deadline has passed. In particular, this will help you prepare for the midterm and final exams.
- Directions: At the testing web site, choose "Unit 5 Pretest/HW" assignment. After the deadline has passed, this exam will be available in practice mode.

Unit 5 Checklist

Make sure that you have finished the following items to complete Unit 5:

Read the material and do the problems listed in the Study Guidelines. Use any of the listed supplementary material to help you understand the concepts.
Update your Reference Book as you study.
Complete the Discussion Board assignment in Blackboard.
Prepare for Quizzes in class.
Complete the Unit Written Assignment.
Complete the online Unit Pretest/HW assignment (read the exam description first).
Complete the online proctored Unit Exam.

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