Plane Trigonometry


  2. A. Course Title: Plane Trigonometry
    B. Course Number: MA 123 - 10403
    C. Semester: Spring 2019
    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-9:00:00 AM (MST); 10:00:00 AM-11:00:00 AM (MST); 1:15:00 PM-02:15:00 PM (MST);
    Tuesday: 10:45:00 AM-11:15:00 AM (MST);
    Wednesday: 8:00:00 AM-9:00:00 AM (MST); 10:00:00 AM-11:00:00 AM (MST); 1:15:00 PM-3:00:00 PM (MST);
    Thursday: 10:45:00 AM-11:15:00 AM (MST);
    Friday: 8:00:00 AM-9:00:00 AM (MST); 10:00:00 AM-11:00:00 AM (MST); 1:15:00 PM-02:15:00 PM (MST);
    For my on-line classes I will answer Canvas mail within 24 hours M-F. ON WEDNESDAY 1:30-3PM I go to the Academic Success Center to help students. On MWF I spend 1:15 to 1:30 in the ITV room helping my ITV student. On Tuesdays I often Travel to the area High schools. Please remember that I can be reached more quickly through REMIND when I am away from my desk, look in the discussion portion of your Canvas shell to find how to work REMIND.
    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.



    PRECALCULUS; Paul Sisson; Hawkes; Second Edition
    Textbook WITH courseware access: 978-1-941552-90-2

    DO NOT attempt to set up your account using Hawkes Learning website. You must connect through the link in Canvas to have access to your work.

    Note: Hawkes courseware comes with an automatic free trial period of 14 days. This temporary access starts on the first day of class and cannot be extended. Please plan for how to purchase the access code prior to the end of the trial period.

    Students may chose any type of calculator for lessons, but tests will require a scientific calculator only. NO graphing calculators will be allowed on tests.


    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


    Warning: This course requires proctored exams.  Students are required to use an approved testing facility.  Read information regarding Assessments carefully.  Contact the instructor for additional information.

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

    HOMEWORK:                     15%   

    CHAPTER TESTS:             25%   

    ASSESSMENTS:                  60%   

    HOMEWORK is done online using Hawkes courseware.  It is accessed using the “Hawkes Single Sign On” module in Canvas.  Homework due dates can be viewed on the “To-Do” list in Hawkes.  Assignments can be accessed beyond the due date 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.  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 is blocked please contact me immediately so I can check settings and fix problems.   

    Each homework assignment requires a mastery score of 80% to open the next assignment or test. 

    Hawkes provides a Learn, Practice, Certify system to earn scores.  In addition to Learn and Practice there will be notes and example problems presented in class and then posted in Canvas. 

    CHAPTER TESTS must also be done in Hawkes by clicking the “Tests” tab after opening the Single Sign On link.  Tests are timed.  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) 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 mastery 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 the testing center or in the classroom and are NOT available in Hawkes.  Assessments are given twice during the semester.  The first one is to be taken after chapter 6 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.  Notify your instructor of the testing center you will use before midterm.  If you live within driving distance of NMJC campus, you must use the NMJC testing center- no exceptions.  Driving distance is considered anywhere in Lea County or within 60 miles of Hobbs.

    Note: Grades for work completed in Hawkes will update to Canvas daily.  Grades for assessments will be posted within one week after the deadline announced in class or in Canvas.


    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 “Certify” 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. 

    o   Any incident of academic dishonesty on proctored exams will result in a zero on the entire set of assessments associated with the incident.







    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.



    GETTING STARTED:  Login to Canvas, complete course information quiz, connect to Hawkes course ware system and begin working on lessons.

    RESOURCES to successfully complete Trigonometry: 

    ·        Work with your instructor as needed (by phone or online);

    ·        Go to the Academic Success Center to work with a tutor for homework help (NMJC Academic Success Center is located in room 123 Mansur Hall, phone number is 575-492-2624);

    ·        Use “Brainfuse”, an online tutoring service (click here to check out Brainfuse);

    ·        Communicate with your instructor about any problems regarding your success in class. 


    Ř  Participate in class- take notes while watching videos and ask questions.

    Ř  Abide by deadlines and requirements. 

    Ř  Do not use “Mathway” or other online problem solving apps.  Quick answers from using those things for progress through lessons and chapter tests come at a cost on assessments.  Maintaining an A on regular course work, but failing assessments will lead to a final grade of D or F. 

    This class will require consistent effort all semester.  Allowing yourself to fall behind will greatly increase probability of failure or need to withdraw.  Failing or withdrawing are a complete waste of your time and money.  If it gets stressful, be willing to make adjustments to your schedule and priorities.  Finishing a required class is a very temporary intrusion to your life.  Be realistic, consider how much you actually want to complete your education.  Do you really want to earn your way to a career with a high paying job or not?  Don’t sacrifice your greater life goals for things going on right now. 

    What will it take to earn credit for Trigonometry?

    “To-Do-List” of 23 assignment scores:

    ·        14 lesson Certifies (separated into 14 Practices and 14 Certifies for a total of 28);

    ·        4 chapter tests;

    ·        1 mid-course assessment;

    ·        4 final assessments

    Calculation of reasonable time required for each of the above components of the course:

    Practice and Certify for each lesson @ approximately 3 hours each = 84 hours

    Chapter Tests @ about 2 hours each = 8 hours

    Mid-course Assessment prepare and complete = 6 hours

    Total prior to final assessments = 98 hours

    All this should fit into the first 14 weeks of class.  Allow for first week of “getting started” and we have 13 weeks- 98 hours / 13 weeks = 7.5 or about 8 hours per week.  

    Some weeks will take more some will take less to meet deadlines.  This is the reality of what it takes to meet the stated objectives which warrant credit hours on a degree plan or preparation for the next course. 

    If you know you cannot commit to this amount of work, consider changing your schedule before the refund period expires to avoid all waste of time and money.  (Refund period is through the first week of class only.  Check the academic calendar for the actual date and make a decision before then.)






    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 at the Pannell Library on the 1st floor.

    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 18, 2019. All students are encouraged to discuss their class status with the professor prior to withdrawing from the class.


    Trigonometry Course Outline

    For Hawkes Precalculus book 


    This outline is tentative and subject to change at the discretion of the instructor.



    Section number and Title



    Day 1

    Complete Course Information Module and Module Zero



    Weeks 1-3

    Chapter 6: Trigonometric Functions

    6.1 Radian and Degree Measure of Angles


    1.      The Unit Circle and Angle Measure


    2.      Conversion between degrees and radians


    3.      Commonly encountered angles


    4.      Arc length and angular speed


    5.      Area of a circular sector

    6.2 Trigonometric Functions of Acute Angles


    1.      The six basic trigonometric functions


    2.      Evaluation of trigonometric functions


    3.      Applications of trigonometric functions

    6.3 Trigonometric Functions of Any Angle


    1.      Extending the domains of the trigonometric functions


    2.      Evaluation using reference angles


    3.      Relationships between trigonometric functions


    Unit Circle- fill in angles and points




    Chapter 6 Sections 1, 2, 3 TEST (Notation, Applications)



    Weeks 4, 5

    6.4 Graphs of Trigonometric Functions


    1.      Graphing the basic trigonometric functions


    2.      Periodicity and other observations


    3.      Graphing transformed trigonometric functions


    4.      Damped harmonic motion


    6.5 Inverse Trigonometric Functions


    1.      The definitions of inverse trigonometric functions


    2.      Evaluation of invers trigonometric functions


    3.      Applications of inverse trigonometric functions


    4.      Evaluating inverse trigonometric functions (T)



    Chapter 6 Sections 4, 5 TEST (Graphing, Notation)



    Week 6

    Mid-Course Assessment

    Proctored test, on paper, testing center required


    Unit Circle Quiz included with Mid-Course Assessment




    Chapter 7: Trigonometric Identities and Equations

    Weeks 7-8

    7.1 Fundamental Identities and Their Use


    1.      Previously encountered identities


    2.      Simplifying trigonometric expressions


    3.      Verifying trigonometric identities


    4.      Trigonometric substitutions


    7.2 Sum and Difference Identities


    1.      The identities


    2.      Using sum and difference identities for exact evaluation


    3.      Applications of sum and difference identities




    Chapter 7 Sections 1, 2 TEST (Notation)



    Weeks 9-10

    7.3 Product-Sum Identities


    1.      Double-angle identities


    2.      Power-reducing identities


    3.      Half-angle identities


    4.      Product-to-sum and sum-to-product identities


    7.4 Trigonometric Equations


    1.      Applying algebraic techniques to trigonometric equations


    2.      Using inverse trigonometric functions



    Chapter 7 Sections 3, 4 TEST (Solving)


    Chapter 8: Additional Topics in Trigonometry

    Weeks 11-12

    8.1 The Law of Sines and the Law of Cosines


    1.      The Law of Sines and its use


    2.      The Law of Cosines and its use


    3.      Areas of triangles


    8.5 Vectors in the Cartesian Plane


    1.      Vector terminology


    2.      Basic vector operations


    3.      Component form of a vector


    4.      Vector applications


    8.6 The Dot Product and Its Uses


    1.      The dot product


    2.      Projections of vectors


    3.      Applications of the dot product




    Chapter 8 Sections 1, 5, 6 TEST (Notation, Applications)



    Weeks 13-14

    8.2 Polar Coordinates and Polar Equations


    1.      The polar coordinate system


    2.      Coordinate conversion


    3.      The form of polar equations


    4.      Graphing polar equations


    5.      Graphing polar equations (T)

    8.3 Parametric Equations


    8.4 Trigonometric Form of Complex Numbers


    1.      The complex plane


    2.      Complex numbers in trigonometric form


    3.      Multiplication and division of complex numbers


    4.      Powers of complex numbers (DeMoivre’s Theorem)


    5.      Roots of complex numbers




    Week 15

    Review for final assessments





    Finals Week

    Final Assessments:

    All parts are proctored, on paper, in testing center or classroom



    ·       Graphs



    ·       Solving



    ·       Notation



    ·       Applications



    All four parts must be completed before the last day of finals