Math 141-142: Unit 4

Deadline: Thursday August 1 (141) or Thursday July 25 (142)

Topics

In this unit you will study the graphs of tangent, cotangent, secant, and cosecant, with variations, in more detail. You will also study the inverse trigonometric functions.

• Graphs of variations of tangent, cotangent, secant, and cosecant. (5.8)
• Period and phase shift. (5.8)
• Inverse trigonometric functions: arcsin, arccos, arctan. (5.9)
  • Computations and graphs.

Study guidelines

• Section 5.8: Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions
  • Reading: pages 419-425.
    Read and work through examples 1-3 and their associated matched problems.
    Read and respond to "Explore and Discuss" 1 and 2.
  • Problems: pages 426-427: #1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 31
  • More practice problems, with solutions
    
    
• Section 2.6 (review): Inverse functions
  • Reading: section 2.6
  • Problems: Work through a representative sampling of the problems in this section until you feel comfortable with the material.
    pages 195-197: #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 31, 33, 35, 37, 39, 41, 43, 47, 49, 65, 71
  • More practice problems, with solutions
    
    
• Section 5.9: Inverse Trigonometric Functions
  • Reading: pages 427-437.
    Read and work through examples 1-5 and their associated matched problems.
    Read and respond to "Explore and Discuss" 1 and 2.
  • Problems: pages 437-439: #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 45, 47, 49, 51, 55, 59-62, 71
  • More practice problems, with solutions
    
    
• Supplementary material (optional)
  • Schaum's Precalculus Outline, chapter 25 and part of chapter 21
  • Additional applications #4 & 5 for chapter 5, with answers
  • Additional exercises and demonstrations provided by other websites, for chapter 2 or chapter 5
  • Answers to review problems from the textbook.
  • Calculator key stroke guides
  • The CD-ROM that came with your textbook has tutorials, practice exams, and interesting "Interactive Diagrams".
  • Browse through the Archive Center on the NetTutor web site. Detailed solutions to selected problems are saved in the Archive Center.

Unit Exam #4

After completing the above work, do the following:

1. Read the exam description:
   • This exam has 20 questions, and will count 20 points toward your grade. 
   • This exam has a one hour time limit.
   • 12 of the 20 questions are on section 5.9.
   • 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.
   • This exam will be much easier if you are good at using the graphing features of your calculator. However, it will slow you down if you depend too much on your calculator. Be sure to consider basic properties such as periods, amplitudes, and phase shifts when you are dealing with questions about graphs.
   • In previous classes, the more difficult topics were: (1) problems involving phase shifts of tan, cot, sec, and csc, and (2) problems like #59-62 on page 438.
2. Complete the online Unit 4 Pretest assignment for Math 141 or Math 142. You may use your book if you wish, and redo the pretest as many times as you like. Your pretest score will be scaled to 5 points maximum.
   • Directions: Click on the link above for your class, then choose the Unit 4 Pretest.
   • The pretest must be completed by the deadline date listed at the top of this page.
     However, you may redo the pretest as many times as you like before the due date.
     Your best score counts, and it will be rescaled to 5 points maximum.
3. 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 page.
4. Arrange with your proctor to take the online proctored Unit 4 Exam assignment for Math 141 or Math 142. 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: Click on the link above for your class, then choose Unit 4 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. See the Detailed Schedule page for Math 141 or Math 142 for specific rules.

   Note: Remember that you can always go back and take practice exams on this unit for Math 141 or Math 142 after the deadline has passed. In particular, this will help you prepare for the midterm and final exams.

   • Directions: Click on the link above for your class, then choose Unit 4 Exam. After the deadline has passed, this exam will be available in practice mode.

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