MW 12:30 pm - 1:45 pm in room L369
Definitions of trigonometric functions are defined using the unit circle then extended to the solution of right triangles. Content includes radian measure, trigonometric functions and their inverses, identities, graphs, equations, triangles, the Laws of Cosines and Sines and applications of trig functions. Skills for success in more advanced courses are emphasized. Consequently, the student must have a strong working knowledge of algebra before entering the course. AAS: Mathematics elective.
Appropriate assessment score or MATH 1424 with a grade of C or better and completion of geometry requirement (MATH 1453 or one year of high school geometry with a grade of C or better) or High School Transitional Math: STEM pathway - Must be completed prior to taking this course.
General Education Outcomes are the knowledge, skills, abilities, attitudes, and behaviors that students are expected to develop as a result of their overall experiences with any aspect of the college, including courses, programs, and student services, both inside and outside of the classroom. The General Education Outcomes specifically learned in this course are:
- Critical Thinking
Prerequisites: Grades of C or better in both MATH 1424 and MATH 1453 (or one year of high school geometry); or appropriate assessment score. Definitions of trigonometric functions of an acute angle are applied to the solution of right triangles, then extended to define the circular functions. Precalculus applications of the circular functions, including complex number arithmetic, are studied in detail. Topics include functions, graphs, similarity, identities, and conditional equations, the laws of cosines and sines, and DeMoivre’s theorem. Skills for success in more advanced courses are emphasized. Consequently, the student must have a strong working knowledge of algebra before entering this course. AAS: Mathematics elective.
Faculty Contact Information
MW 8 am - 9 am
TTH 8 am - 9 am
Jorge R. Gavillan, M.S.
email: jgavillan@kcc.edu
Course Information
At the end of this course, students will be able to:
- Evaluate the six trigonometric functions using a right triangle and unit circle.
- Graph trigonometric functions and identify the period, amplitude, phase shift, and location of asymptotes.
- Prove a trigonometric identity.
- Evaluate inverse trigonometric functions.
- Solve trigonometric equations.
- Apply the sum and difference, double angle, and half-angle identities.
- Solve any oblique triangle by applying the Law of Sines or Law of Cosines.
- Apply trigonometry concepts to solve application problems.
- Graphs of Equations in Two Variables
- Circles
- Functions and Their Graphs
- Properties of Functions
- Graphing Techniques
- Transformations
- One-to-One Functions
- Inverses
- Angles and Their Measure
- Trigonometric Functions; A Unit Circle Approach
- Properties of the Trigonometric Functions
- Graphs of the Sine and Cosines Functions
- Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
- The Inverse Sine, Cosine, and Tangent Functions
- The Inverse Trigonometric Functions (continued)
- Trigonometric Equations
- Trigonometric Identities
- Sum and Difference Formulas
- Double-angle and Half-angle Formulas
- Product-to-Sum and Sum-to-Product Formula
- Right Triangle Trigonometry Applications
- The Law of Sines
- The Law of Cosines
- Area of a Triangle
- Polar Coordinates
- Polar Equations and Graphs
- The Complex Plane
- De Moivre’s Theorem
This course will be evaluated by performance on homework, quizzes, tests, a midterm, and a final exam.
Pass Quiz = 5% of grade
Homework = 10% of grade
Quizzes = 20% of grade
Midterm = 30% of grade
Final Exam = 35% of grade
Liberal Arts & Sciences
Dean, Jennifer Huggins; 815-802-8484; R310; jhuggins@kcc.edu; Division Office- W102; 815-802-8700
Attendance Policy: Attendance is requiredandrecorded. Homework: Homework will be assigned and completed using MyLab and Mastering. As many opportunities as necessary are provided to earn full credit; thus, persistence iskey. Homework is your opportunity to practice and master the material. Homework is due on the listed date and time in MyLab and Mastering and is completed on your own time. NO late work is accepted.
Students are expected to conduct themselves in a respectful, professional, and responsible manner in all classroom and online learning environments. This includes arriving prepared, participating appropriately, and communicating respectfully with the instructor and classmates.
In the classroom, students should arrive on time, remain engaged, and minimize distractions by silencing or using electronic devices appropriately. Respectful dialogue and collaboration are expected at all times.
Disruptive or inappropriate behavior, whether in person or online, may result in academic consequences or referral to appropriate college offices in accordance with institutional policies.
| Date | Day | Class Meeting? | Topic | Homework / Assessments | Notes |
| January 12, 2026 | Monday | Yes | Introduction | ||
| January 14, 2026 | Wednesday | Yes | 1.1 | Chapter 1: Preliminaries | |
| January 19, 2026 | Monday | No | Dr. Martin Luther King, Jr. Day – College Closed | Dr. Martin Luther King, Jr. Day – College Closed | |
| January 21, 2026 | Wednesday | Yes | 1.2 | ||
| January 26, 2026 | Monday | Yes | 1.3 | ||
| January 28, 2026 | Wednesday | Yes | 1.4 | ||
| February 02, 2026 | Monday | Yes | 2.1 | Chapter 2: Functions and Their Graphs | |
| February 04, 2026 | Wednesday | Yes | 2.2 | ||
| February 09, 2026 | Monday | Yes | 2.3 | ||
| February 11, 2026 | Wednesday | Yes | 2.4 | ||
| February 16, 2026 | Monday | Yes | 2.5 | ||
| February 18, 2026 | Wednesday | Yes | 3.1 | Chapter 3: Trigonometric Functions | |
| February 23, 2026 | Monday | Yes | 3.2 | ||
| February 25, 2026 | Wednesday | Yes | 3.3 | ||
| March 02, 2026 | Monday | Yes | 3.4 | ||
| March 04, 2026 | Wednesday | Yes | 3.5 | ||
| March 09, 2026 | Monday | No | Spring Break – No Classes (College open until 5 p.m.) | Spring Break – No Classes (College open until 5 p.m.) | |
| March 11, 2026 | Wednesday | No | Spring Break – No Classes (College open until 5 p.m.) | Spring Break – No Classes (College open until 5 p.m.) | |
| March 16, 2026 | Monday | Yes | 3.6 | Chapter 7: The Normal Probability Distribution | |
| March 18, 2026 | Wednesday | Yes | Midterm | Midterm Opens | |
| March 23, 2026 | Monday | Yes | Midterm | Midterm Due | |
| March 25, 2026 | Wednesday | Yes | 4.1 | ||
| March 30, 2026 | Monday | Yes | 4.2 | Chapter 4: Analytic Trigonometry | |
| April 01, 2026 | Wednesday | Yes | 4.3 | ||
| April 06, 2026 | Monday | Yes | 4.4 | ||
| April 08, 2026 | Wednesday | Yes | 5.1 | Chapter 5: Applications of Trigonometric Functions | |
| April 13, 2026 | Monday | Yes | 5.2 | ||
| April 15, 2026 | Wednesday | Yes | 5.2 Part 2 | ||
| April 20, 2026 | Monday | Yes | 5.3 | ||
| April 22, 2026 | Wednesday | Yes | 5.3 Part 2 | ||
| April 27, 2026 | Monday | Yes | 5.4 | ||
| April 29, 2026 | Wednesday | Yes | 5.4 Part 2 | ||
| May 04, 2026 | Monday | Yes | 5.5 | ||
| May 06, 2026 | Wednesday | Yes | 5.5 Part 2 | ||
| May 11, 2026 | Monday | Yes | Final | Final Opens | |
| May 13, 2026 | Wednesday | Yes | Final | Final Due |
College Policies, Resources and Supports
For information related to the Student Code of Conduct Policy, Withdrawal Policy, Email Policy, and Non- Attendance/Non-Participation Policy, please review the college’s Code of Campus Affairs and Regulations webpage, which can be found at catalog.kcc.edu under the Academic Regulations & Conduct Guide.
KCC offers various academic and personal resources for all students. Many services are offered virtually, as well as in person. Please visit Student Resources - Kankakee Community College to access student resources services such as:
- Clubs and organizations
- Counseling and referral services
- Office of disability services
- Student complaint policy
- Transfer services
- Tutoring services, etc.
The materials on this course are only for the use of students enrolled in this course for purposes associated with this course. Further information regarding KCC's copyright policy is available at https://kcc.libguides.com/copyright.
|Course syllabus/calendar is subject to change.