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North Idaho Stem Charter Academy · Mathematics, Computer Science, & Engineering · Mathematics

Analytic Trigonometry

  • Spring 2018
  • Section 81
  • 2 Credits
  • 01/29/2018 to 06/08/2018
  • Modified 01/30/2018

Contact Information

Instructor: Jessica LaPresta

Email: [email protected]

Office: STEM - Room 11

Phone: (208) 687-8002

Meeting Times

Monday, Tuesday, Wednesday, and Thursday:

4th period (11:30am - 12:30pm)


This course examines trigonometric concepts in terms the Cartesian coordinate plane and the rectangular and polar coordinate systems. Students will be able to apply principles of angles, fundamental identities and identity verifications of trigonometry, and solving and graphing trigonometric functions. MATH_144 is intended for students following the STEM Pathway. MATH_143 and MATH_144 cover the content of MATH_147. Note: MATH_144 carries no credit if taken after successful completion of any higher numbered math course with the exception of MATH_157, MATH_160, MATH_253, and MATH_257. Lecture: 2 hours per week



Precalculus: A Unit Circle Approach to Trigonometry & Concepts Through Functions

  • Author: Sullivan & Sullivan
  • Publisher: Pearson
  • Edition: 3rd
  • Optional
  • Availability: Campus Bookstore

This textbook can be used for College Algebra, Trigonometry, and Precalculus.


This is best purchased with your book. You may just purchase mymathlab.  

The ebook is included in the price of mymathlab.

  • Availability: Bookstore


It is required to have a TI-84 or a TI-89.  If you are planning to continue on in calculus, it is beneficial to use the TI-89

Options:  You may rent the calculator at North Idaho College's College Skill Center in LKH.  This is a first come-first serve situation until gone.


General Education

A college education is designed to provide the student with the opportunity to obtain a broad base of information and skills, not just prepare the student for one career.  The goal of a general education is to provide the student with skills necessary to reach their goal as well as to adapt to changes in their field and in the world.  The General Education Abilities at NIC is a series of learning experiences designed to provide the student with the knowledge, skills, and attitudes necessary to function well in society.  NIC believes these abilities provide a framework for understanding, interpreting, and evaluating what will be encountered in the world, and contributes to the development of individuals who are active, productive, and personally fulfilled members of a highly diverse, ever-changing society.

Students at North Idaho College will demonstrate the ability to apply mathematical and symbolic reasoning to investigate and solve problems.  Students will be able to extract relevant data from given contextual situations, select known models to organize data into spreadsheet, graphical or equation formats, and obtain correct mathematical results and state those results appropriately.

Trigonometry allows the student to refine and improve their own general education by learning some of the fundamental skills in quantitative problem solving. 

Learning Outcomes

  • The student should be able to compare and contrast angles using degrees and radians, trigonometric functions, their inverses, trigonometric formulas such as half-and double-angle formulas, and the law of sines and cosines.
  • The student should be able to use trigonometric concepts to solve application problems and more accurately model real-world problems.




  1. MYMATHLAB assignments will be given for each chapter throughout the semester.  The assignments will open up on the first day of lecture and be due as specified on your Mymathlab website schedule.  If you fail to complete any assignment by its due date, you will receive a zero.  There will be no exceptions.
  2. Weekly homework quizzes:  These homework assignments will be posted on Blackboard and you will need to print, hand write your work, and upload to blackboard.  I will grade, and respond to your work.

**  Mymathlab and the homeowork quizzes will each account for approximately one half of the homeowrk category of grades.

Types of evaluations and related weights
Type Weight Topic Notes
EXAMS 60 %    
HOMEWORK 20%    

If you earn above a 70% on the final exam, then you are eligible for your lowest test grade to be replaced by the percentage earned on the final exam.  This will only happen if it is a benefit to the student.


  • 90% - 100%    A
  • 80%-89%        B
  • 70%-79%        C
  • 60%-69%        D
  • below 60%      F

Course Policies

  • It is essential that you login to Blackboard everyday.  This is how I can best communicate with you and your classmates.  You will be held accountable for deadlines and assignments presented. 
  • Lectures will be posted after each class period.  Be sure to watch videos as well as utilize your textbook.  You will be tested on all material covered in assignments, text, and lecture.
  • Expect a quiz every one to two weeks.  Be sure to watch for the quiz to be uploaded to Bb and be careful of due dates.  Most quizzes will have multiple attempts which allows you to improve your grade by correcting mistakes.
  • Online exams must be taken during the day on the assigned test day.  Be sure you are following your course schedule and make your appointment at the North Idaho College testing center early.  The testing centers are busy!!  It is your responsibility to contact me regarding which NIC approved testing center you will be using and what time AT LEAST ONE WEEK PRIOR TO THE EXAM DATE.  I need to know where to send your exam.  The North Idaho College testing center is located in the Molstead Library on the second floor. Other approved testing proctors and centers are listed on the NIC testing center website.
  • Make up exams are only allowed for extenuating circumstances and require contact prior to the time of the exam.




Sections Covered


Recommended Problems


Week 1

Intro/5.1 – Angles and Their Measures

5.2 – Trig Functions; Unit Circle

pg.386: 18-89 all

pg.402: 13-97 all

Week 2

7.1 – Right Triangle Trig Applications

5.3 – Properties of Trig Functions

pg.540: 9-41 all

pg.417: 11-87 all

Week 3

Exam #1

Wednesday, February 14

Week 4

5.4 – Graph of Sine and Cosine

pg.432: 31-34 all; 35-41 all

Week 5

5.5 – Graph of Tangent and Cotangent

         Graph Secant and Cosecant

pg.442: 17-37 all

Week 6

5.6 – Phase Shift

pg.452: 3-13 all

Week 7

Exam #2

6.1 – Inverse Sine, Cosine, and Tangent

Wednesday, March 14

pg.474: 13-65 all

Week 8

6.2 – Inverse Trig Functions continued

6.3 – Solving Trig Equations in restricted domain, [0, 2 pi) and all solutions

pg.480: 9-65 all

pg.488: 11-71 all


Week 9



Week 10

6.4 – Establishing Trig Identities

6.5 – Sum and Difference Formulas

pg.497: 19-89 odd

pg.508: 11-45 all

Week 11

6.6 – Double and Half Angle Formulas

6.7 – Product to Sum and Sum to Product

pg.518: 7-71 all

pg.524: 1-25 odd

Week 12

Exam #3

Wednesday, April 18

Week 13

7.2 – Law of Sines

7.3 – Law of Cosines

pg.551: 9-29 all

pg.559: 9-31 all

Week 14

7.4 – Area of Oblique Triangles

7.5 – Simple Harmonic Motion

pg.564: 5-25 odd

pg.574: 5-19 odd

Week 15

8.1 – Polar Coordinates

8.2 – Polar Equations and Graphs

pg.591: 9-81 all

pg.606: 13-59 all; 67-70 all

Week 16

Exam #4

Wednesday, May 16

Week 17

Final Exam Review Week


Week 18


Monday, June 4



Division Policies

Peer Tutoring Program

The Peer Tutoring Program offers free tutoring to NIC students.  Students may sign up for 2 hours of tutoring each week for each enrolled NIC course.  You can sign up for tutoring in the College Skills Center in Lee Kildow Hall, Room 118, starting on the first Thursday of the semester and continuing throughout the semester.  Contact the College Skills Center at 769-3206 or visit the Peer Tutoring Center website below for additional information.

Class Preparation

Class preparation is essential for learning.  All students should be prepared daily for class, seek help when needed, and take a positive role in the learning opportunities available.  Any behavior that interferes with other's rights to learn or an ability to teach will not be tolerated, and you will be asked to stop or to leave.  To avoid disrupting class, please turn all ringers on cell phones or pagers off.  Please also note that College Policy does not allow children in the classroom.  See the Student Handbook for additional information regarding appropriate classroom behavior.

Academic Honesty

It is expected that students will do their own academic work.  The principle of intellectual honesty, responsibility, and integrity is central to any educational community.  Academic dishonesty is a serious infringement of personal integrity and erodes the basis for academic credibility.  Academic dishonesty includes cheating and plagiarism.  Plagiarism is literally an artistic theft and misrepresentation, and it is illegal.  Examples of cheating include copying the work of others or allowing others to copy your work,  the submitting of the same work for credit to more than one course, and the collaboration among students on assignments without prior approval of the instructor.  Academic dishonesty will be dealt with in a manner consistent with the procedure laid out in the Student Handbook.  For a complete explanation of the North Idaho College Statement on Academic Honesty & Academic Integrity please refer to the Student Handbook.

Flowchart for Mathematics Coursework

Flowchart for Computer Science Coursework

Flowchart for Engineering Coursework 

Institutional Policies

Student Code of Conduct
The Student Code of Conduct applies to any student enrolled at North Idaho College.  This includes, but is not limited to, face-to-face classes and Internet classes.

NIC shall maintain a Student Code of Conduct that specifically addresses prohibited behavior and assures due process for alleged violations. The Code of Conduct shall make clear possible sanctions for such actions. Policy Manual (See 5.06)

Disability Support Services and the Americans with Disabilities Act (ADA)

In compliance with the Americans with Disabilities Act of 1990 and Section 504/508 of the Rehabilitation Act of 1973, North Idaho College provides accommodations to eligible students who experience barriers in the educational setting due to learning, emotional / mental, physical, visual, or hearing disabilities. Instructors will provide accommodations to students only after having received a Letter of Accommodation from Disability Support Services (DSS).

If a student would like to request accommodations, he or she must contact DSS so that a Letter of Accommodation may be sent to the instructor. Students requesting accommodations should contact DSS as early in the semester as possible to avoid delay of accommodation due to student load.  Accommodations are not retroactive. DSS provides academic accommodations, access, assistance and services at NIC and at the North Idaho Consortium of Higher Education campus.

Disability Support Services Website
(208) 769-5947

Please check the NIC Calendar for the last day students can withdraw from full-length courses.

Instructor-Initiated Withdrawal: An instructor has the right to withdraw a student for academic reasons. For more information, see the Instructor-Initiated Withdrawal Procedure.

Financial Aid Satisfactory Progress (SAP):Federal Regulations require North Idaho College to establish Satisfactory Academic Progress standards (SAP) for all financial aid recipients. The purpose of SAP standards are meant to ensure that students and academic institutions are held accountable to the taxpayer-funded federal student aid programs while students complete their academic goals in a timely manner. This process monitors student performance in all terms of enrollment, including terms in which the student did not receive financial aid. For more information, see the Financial Aid Satisfactory Progress website.

For more information on withdrawals, see the NIC Student Accounts website.

Title IX

North Idaho College seeks to provide an environment that is free of bias, discrimination, and harassment.  If you have been the victim of sexual harassment/misconduct/assault we encourage you to report this.   If you report this to any college employee, (except for a licensed counselor or health care professional) she or he must notify our college's Title IX coordinator about the basic facts of the incident (you may choose whether you or anyone involved is identified by name).  For more information about your options at NIC, please go to: or call (208) 676-7156


Removal From Class For Non-Attendance:  Attendance is based on your participation in this class. Failure to attend will result in your being removed from this class and may result in your financial aid award being reduced. You are responsible for confirming the accuracy of your attendance record.