Plane Trigonometry


  2. A. Course Title: Plane Trigonometry
    B. Course Number: MA 123 - 10403
    C. Semester: Spring 2017
    D. Days/Time: M W F 12:25:00 PM - 1:20:00 PM
    E. Credit Hours: 3
    F. Instructor: Youngblood, Patricia
    G. Office: Heidel Hall (HH) 218
    H. Email Address:
    I. Office Phone: (575) 492-2815
    J. Office Hours: Monday: 8:00:00 AM-8:45:00 AM (MST); 10:00:00 AM-10:45:00 AM (MST); 1:15:00 PM-1:30:00 PM (MST);
    Tuesday: 10:45:00 AM-11:00:00 AM (MST);
    Wednesday: 8:00:00 AM-8:45:00 AM (MST); 10:00:00 AM-10:45:00 AM (MST); 1:15:00 PM-02:45:00 PM (MST);
    Thursday: 10:45:00 AM-12:00:00 PM (MST);
    Friday: 8:00:00 AM-8:45:00 AM (MST); 10:00:00 AM-10:45:00 AM (MST); 1:15:00 PM-1:30:00 PM (MST);
    For my on-line classes I will answer Canvas mail within 24 hours M-F. I will have my SKYPE account on when I am on my computer. I will check in on you Tuesday and Thursday afternoons but I will not have "set virtual hours". Canvas and I argue a lot. If I do not respond then I have not seen your correspondence, PLEASE try contacting me a different way. My office hours on Thursday 12:30-2 will be spent in the computer lab in HH108. Do not expect to find me in my office.
    K. Time Zone: Mountain Time
    L. Prerequisite(s): MA 113 or appropriate placement test score
    M. Corequisite(s):
    N. Class Location: BUC240

    This course will cover trigonometric functions, solutions of right triangles, properties and relationships between trigonometric functions, radian measures of the angles, graphs of trigonometric functions, the addition formulas, double-angle formulas, half-angle formulas, solution of the general triangle, inverse trigonometric functions, and solutions of trigonometric equations. This is a three credit hour course. Prerequisite: MA 113 or equivalent or appropriate score on a placement test.


    Trigonometry is the study of triangles and the measurements within triangles, which is a necessary component of Physics, Engineering, and Calculus. Trigonometry should transfer to most colleges for mathematics credit.



    "My Math Lab" access code
    (MML is linked to Canvas. You will initiate access to MML from Canvas. There is no instructor course ID.)

    Graphing Calculator: TI 83 plus or TI 84


    Textbook: "Trigonomtery" by Lial, Hornsby and Scheider, Pearson, 11th edition (ISBN: 9780134217437)

    You can buy your books online at the NMJC Bookstore.


    Students attending New Mexico Junior College will be evaluated according to the following grading scale:

    						90 - 100%	=	A
    						80 -  89%	=	B
    						70 -  79%	=	C
    						60 -  69%	=	D
    					 	 0 -  59%	=	F

    Note: Proctored exams are required for this course. Contact me by Canvas inbox immediately if you cannot use the NMJC campus testing center.

    or this course your grade will be made up of the following:


    MML TESTS: 25%


    MML HOMEWORK must be done online using MyMathLab (MML). MML can be accessed using the button in Canvas. Homework due dates are posted in MML. Assignments can be accessed beyond the due date without penalty because minimum scores are required to progress. Grades are reviewed weekly after a due date for assignments or tests. Assignments not attempted before the deadline are posted as zeros in the grade book. Of course zeros must be improved by catching up on the work. Access to all homework ends on Monday of final exam week, no exceptions. If an assignment in MML is blocked please contact me immediately so I can check settings and fix problems.

    Final submission for all MML work is midnight on Monday of final exam week. Each homework assignment requires a minimum score of 80% to open the next assignment or test. BEFORE attempting homework read lecture notes posted in Canvas (modules button) and watch videos or other resources in MML.

    MML CHAPTER TESTS must also be done in MML by clicking the “Quizzes and Tests” button found under the “Homework” button. Tests are timed at 120 minutes. Use the first attempt to gauge your knowledge of chapter material. Then use the “Review” option (immediately following the test or from the grade book button) to go over your mistakes and see correct answers in preparation for a second attempt. Be sure there is time and good internet connection before starting a test. Timing and loss of connection can result in loss of one or both attempts. Contact me immediately if access to a test is lost. Sometimes I can reopen a test and sometimes I can delete an attempt to free up access again. After two attempts, if the required minimum score of 70 is not earned contact me. I will want know what you believe the problem is and how you should use the previous attempts before I offer you additional options. These things can be time consuming so be prepared and work ahead as much as possible.

    ASSESSMENTS must be taken on paper in a secure testing center and are NOT available in MML. If you are not able to use the NMJC campus testing center please contact me by email before midterm. Assessments are given twice during the semester. The first set are to be taken after chapter 3 and then a set of final assessments are given during final exams or sooner if you complete the course work early. “Final assessments” ARE the final exam broken into four separate parts: graphing, solving, notation and applications. Reviews for each assessment are posted in Canvas in the last module. Final Assessments are available through Wednesday of final exam week.


    o Assessments make up 60% of the course grade and there is only one attempt on each. Minimum score requirements on homework and chapter tests will cause grades to appear good. This could lead to a false sense of security. All instruction and course work during the semester leads to PROVING LEARNING on final assessments in key skill areas. Lack of preparation, fatigue, apathy, misunderstanding or any other reason for doing poorly on assessments dramatically decreases final grades. Be practiced, be prepared and be confident before taking assessments. (Simply put, the average score on assessments pretty much determines your course grade. You can sabotage your entire grade in the course by failing to prepare for the assessments. PLEASE do not let that happen!)

    o NMJC’s Academic Success Center employs tutors whose job it is to help you LEARN. They are happy to assist you while you work through “Practice”, but they will not help with a “Quiz” or with chapter tests (unless it is to help you understand mistakes after submitting an answer). Also, they are extremely busy at the end of the semester. There will be limits on the amount of time allowed with tutors. The priority will be in helping students prepare for final exams. They will NOT prioritize students who fell behind in their work and are trying to catch up at the last minute.


    New Mexico Junior College’s institutional student learning outcomes represent the knowledge and abilities developed by students attending New Mexico Junior College. Upon completion students should achieve the following learning outcomes along with specific curriculum outcomes for respective areas of study:


    Plane Trigonometry (MA123) is designed to emphasize definitions and uses of the six trigonometric functions in various types of problems and real world situations. 

    The course content of Trigonometry (MA123) supports NMJC’s mission of “promoting success through learning” by encouraging students to accomplish the following:

    ·         Graph various types of functions.  

    ·         Solve various types of equations. 

    ·         Use the necessary notation for each topic including showing work for sequences of simplifying expressions.  

    ·         Set up and solve various types of application problems. 

    ·         Apply each of the above skills as part of the critical thinking and problem solving process.





    At the completion of this course the student should be able to:

    ·         Solve right triangles.

    ·         Apply right triangle solutions to applications in physics and surveying.

    ·         Use degrees and radians as necessary.

    ·         Solve arc length and linear velocity problems and applications.

    ·         Graph trig functions both basic and advanced.

    ·         Prove identities and use advanced trigonometric formulas as applied in calculus.

    ·         Solve trigonometric equations.

    ·         Apply the Law of Sines and the Law of Cosines to solving triangles.

    ·         Compute the area of any triangle.

    ·         Apply Law of Sines and Cosines to applications in physics and surveying.



    As your instructor I am committed to helping you LEARN!  However, LEARNING can only be accomplished by you.  I can do a lot of things to try to help you, but only you can make it happen.  To help get you started all course work is ready immediately you never have to wait for assignments and you know exactly what needs to be done.  I will not add to what you see in the course outline.  I will be available during class and in my office to assist you.  If you invest the necessary time and effort, you will be successful.  Be in class for quality work time, seek help and work independently.  This will take consistent effort ALL semester!  Here are some helpful things to know:

    Resources for Assistance (tutoring):

    1.      Attend class and work with your instructor.   

    2.      Use Brainfuse or go see a real person tutor for homework help.  Brainfuse is an online tutoring service, click here to check out Brainfuse.  Personal tutors are available by contacting the NMJC Academic Success Center.  The Academic Success Center is located in room 123 Mansur Hall.  The phone number is 575-492-2624. 

    3.      DO NOT DROP!  Get help and keep working no matter how far behind you might feel.  Slow progress is better than no progress.  (IF you really think you need to drop please visit with me to discuss your options.)


    1.      Class time is for MATH only.  Do not use phones or other gadgets during class.  If you cannot focus on MATH during class time, don’t come!

    2.      Cheating will not be tolerated.  In this class cheating is defined as not doing work yourself or using unapproved resources during testing.  I may not catch all incidents of cheating, but I will act on any I become aware of.  Also note, having too much “help” on course work will not benefit you because it will cause you to do poorly on the written assessments in the testing center.  This would cause your grade to drop.  If you are caught cheating in any way in the testing center you will be given a zero on the assessment with no opportunity to retake it. 

    Overall Approach to Class:

    Work on assignments DAILY!  The course outline is set so we finish a chapter every two to three weeks with time to review and complete assessments.  You have all the resources you need to make a great grade in this course.  There are two ways to fail: not completing the work or not learning the information.  It will be tempting to “just get by” with lots of help from other people or from the buttons in MML.  If you don’t focus, keep notes and make sure you can work each question on your own you will not be able to pass the assessments.  Set aside plenty of time to work EACH DAY, stick to it and let me help you.  Let’s make it a great semester!





    Students will be held responsible for the information on these pages.

    Academic Honesty
    Each student is expected to maintain the highest standards of honesty and integrity in online academic and professional matters. The College reserves the right to take disciplinary action, up to and including dismissal, against any student who is found guilty of academic dishonesty or otherwise fails to meet these standards. Academic dishonesty includes, but is not limited to, dishonesty in quizzes, tests, or assignments; claiming credit for work not done or done by others; and nondisclosure or misrepresentation in filling out applications or other College records. Cheating or gaining illegal information for any type of graded work is considered dishonest and will be dealt with accordingly.

    Americans with Disabilities Act (ADA) Information
    Any student requiring special accommodations should contact the Special Needs Student Services Coordinator at (575) 492-2576 or by e-mail at

    Attendance Policy
    Attendance is required at every session of each course for which the student is enrolled. When unavoidable circumstances make attendance impossible, students must provide a satisfactory explanation of their absences to their professors. College-sponsored activities are considered excused absences and the appropriate sponsor of those students who will be absent from class will notify professors. Students having absences due to college-sponsored activities will need to make arrangements with the affected classes / professor to take care of required work; however, arrangements for make-ups should be made within a reasonable time frame, usually within one week of the absence. Regarding make-up work, absences due to late registration are considered the same as regular absences.

    Cell Phones/Pagers
    All cell phones and pagers must be turned off when the student is participating in any lecture, laboratory, or other learning activity.

    Classroom Conduct
    The professor is responsible for maintaining a class environment best suited for effective learning. By registering for this class, the student is assumed to have entered into an agreement with New Mexico Junior College and the professor to attend the class regularly and to behave in an appropriate manner at all times. Disruptive behavior may result in the student being removed from the class.

    Food and Drink Policy
    Food items and soft drinks may not be consumed in NMJC classrooms. Students are also discouraged from bringing food and drink items into the classroom even though these items remain in sealed packaging. Bottled water is permissible.

    No Children in the Classroom
    In order to adhere to instructional procedures as well as maintain the safety of children, NMJC’s policy of no children in the classrooms (lecture, lab, etc.) will be followed.

    Offering the work of another as one’s own, without proper acknowledgment, is plagiarism; therefore, any student who fails to give credit for quotations or essentially identical expression of material taken from books, encyclopedias, magazines and other reference works, or from the themes, reports, or other writings of a fellow student, is guilty of plagiarism. Plagiarism violates the academic honesty policy and is considered cheating.

    Smoking/Use of Tobacco
    New Mexico Junior College is cognizant of the health hazards associated with smoking / use of tobacco for the smoker, as well as the non-smoker. In an effort to provide a healthy environment for students, employees, and others who may frequent the campus, NMJC prohibits smoking / use of tobacco inside any campus building or facility.

    Tutoring Assistance
    Free tutoring services are available to all NMJC students through Brainfuse and the Academic Success Center located in Mansur Hall room 123 and 124.

    Withdrawal Policy
    Regular, punctual attendance is required for all classes at NMJC. Although the professor has the right to drop any student who has missed the equivalent of 2 weeks of instruction (based on a 16 week semester) whether it’s a face to face, online, or a hybrid course, it is not guaranteed that the professor will drop the student. If the student chooses to stop attending a class, he/she should withdraw from the class by accessing your student account in the T-Bird Web Portal at, or submitting the required paperwork to the Registrar’s Office by 5:00 p.m. on Thursday, April 20, 2017. All students are encouraged to discuss their class status with the professor prior to withdrawing from the class.



    Tentative Course Outline- changes or corrections will be made at discretion of instructor

    Completion Goal



    First day

    Get Started in Canvas:

    Course Information Quiz, Post introduction, Create Profile and Bio, Connect to MML




    Week 1,2

    Appendix B

    Graphs of Equations


    Appendix C





    Angle Relationships and Similar Triangles


    Trigonometric Functions


    Using the Definitions of Trigonometric Functions



    Chapter 1 Test




    Week 3,4


    Trigonometric Functions of Acute Angles


    Trigonometric Functions of Non-Acute Angles


    Approximations of Trigonometric Function Values


    Solutions and Applications of Right Triangles


    Further Applications of Right Triangles


    Chapter 2 Test




    Week 5,6


    Radian Measure


    Applications of Radian Measure


    The Unit Circle and Circular Functions


    Linear and Angular Speed



    Chapter 3 Test






    Mid-course Assessment over chapters 1-3

    NOT in MML, must be taken in a testing center




    Week 7,8


    Graphs of the Sine and Cosine Functions


    Translations of the Graphs of the Sine and Cosine Functions


    Graphs of the Tangent and Cotangent Functions


    Graphs of the Secant and Cosecant Functions


    Chapter 4 Test




    Week 9,10


    Fundamental Identities


    Verifying Trigonometric Identities


    Sum and Difference Identities for Cosine


    Sum and Difference Identities for Sine and Tangent


    Double Angle Identities


    Half-Angle Identities

    Chapter 5 Test




    Week 11,12


    Inverse Circular Functions


    Trigonometric Equations I


    Trigonometric Equations II


    Equations Involving Inverse Trigonometric Functions


    Chapter 6 Test




    Week 13,14


    Oblique Triangles and the Law of Sines


    The Ambiguous Case of the Law of Sines


    The Law of Cosines


    Geometrically Defined Vectors and Applications


    Algebraically Defined Vectors and the Dot Product





    Reviews for Final Assessments

    In last module of Canvas



    Final Assessments must be taken in a formal testing center (to use a testing center outside Lea County arrangements must be made AT LEAST 3 WEEKS in advance).

    Week 15,16


    Assessment of Competency 1: Graphs


    Assessment of Competency 2: Solving


    Assessment of Competency 3: Notation


    Assessment of Competency 4: Applications