I. Course Prefix/Number: MAT 122
Course Name: Trigonometry
Credits: 3 (3 lecture; 0 lab)
III. Course (Catalog) Description
IV. Learning Objectives
B. Graph basic trigonometric and inverse trigonometric functions.
C. Apply algebraic techniques to trigonometric expressions, identities, and triangles.
D. Apply the concepts associated with vectors and their operations.
E. Solve parametric equations.
F. Graph polar equations.
G. Use technology for graphing and evaluating functions.
1. Generate the complete graphs for the trigonometric and inverse functions.
2. Solve equations involving trigonometric and inverse functions.
V. Academic Integrity
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.
There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.
Details of the Code of Academic Conduct can be found in the Student Handbook.
VI. Sequence of Topics
1. Measurement of angles
2. Definition of Trigonometric Functions
a) Right triangle definition
b) Circular definition
3. Graphs of sine and cosine functions
4. Graphs of the other trigonometric functions and their graphs
5. Inverse trigonometric functions and their graphs
6. Trigonometric Identities
A. Pythagorean Identities
B. Sum and Difference Formulas
C. Multiple and Half Angle Formulas
D. Sum to Product; Product to Sum
7. Solving trigonometric equations
A. Complex numbers and their trigonometric form
B. Solving right triangles
C. Law of Sines; Law of Cosines
D. Roots and powers of complex numbers
E. Polar coordinates
F. Parametric equations
B. Vectors and Dot Products
1. Geometric and algebraic representation
2. Basic operations with vectors
1. Generate the complete graph of each trigonometric and inverse trigonometric function, including setting a proper window, tracing and zooming.
2. Graphically locate the x-intercepts, the relative extrema and determine asymptotic behaviors.
3. Graphically, numerically and/or symbolically solve equations.
VII. Methods of Instruction
Methods of presentation can include lectures, discussion, demonstration, experimentation, audiovisual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate.
Course may be taught as face-to-face, media-based, hybrid or online course.
VIII. Course Practices Required
IX. Instructional Materials
Textbooks can also be found at our Mathematics Textbooks page.
X. Methods of Evaluating Student Progress
Evaluation methods can include assignments, quizzes, chapter or major tests, individual or group projects, computer assignments and/or a final examination.
XI. Other Course Information
If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in the Learning Center. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.