| 10/17/2026 3:53:02 PM |
| Changed Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 58 | Title:
PRECALCULUS TRIGONOMETRY |
|
| Full Title:
Precalculus Trigonometry |
| Last Reviewed:10/20/2025 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 3.00 | Lecture Scheduled | 3.00 | 17.5 max. | Lecture Scheduled | 52.50 |
| Minimum | 3.00 | Lab Scheduled | 0 | 6.5 min. | Lab Scheduled | 0 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 3.00 | | Contact Total | 52.50 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 105.00 | Total Student Learning Hours: 157.50 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade Only
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
Catalog Description:
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Students will study topics from college trigonometry, including trigonometric identities, equations, functions, inverse functions, graphs, polar coordinates, parametric equations, complex numbers, vectors, and applications.
Prerequisites/Corequisites:
Course Completion of MATH 25
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Students will study topics from college trigonometry, including trigonometric identities, equations, functions, inverse functions, graphs, polar coordinates, parametric equations, complex numbers, vectors, and applications.
(Grade Only)
Prerequisites:Course Completion of MATH 25
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
| Associate Degree: | Effective: | Fall 2025
| Inactive: | |
| Area: | B
L2
MC
| Communication and Analytical Thinking
Mathematical Concepts & Quantitative Reasoning
Math Competency
|
| |
| CSU GE: | Transfer Area | | Effective: | Inactive: |
| | B4 | Math/Quantitative Reasoning | Fall 2006 | |
| | B4 | Math/Quantitative Reasoning | Fall 1981 | Fall 1996 |
| |
| IGETC: | Transfer Area | | Effective: | Inactive: |
| |
| CSU Transfer: | Transferable | Effective: | Fall 2006 | Inactive: | |
| |
| UC Transfer: | | Effective: | | Inactive: | |
| |
| C-ID: |
Certificate/Major Applicable:
Both Certificate and Major Applicable
Approval and Dates
| Version: | 010 | Course Created/Approved: | 8/1/1981 |
| Version Created: | 9/9/2024 | Course Last Modified: | 10/21/2025 |
| Submitter: | Dean Gooch | Course Last Full Review: | 10/20/2025 |
| Version Status: | Approved Changed Course | Prereq Created/Approved: | 10/20/2025 |
| Version Status Date: | 10/20/2025 | Semester Last Taught: | |
| Version Term Effective: | Fall 2026 | Term Inactive: | |
COURSE CONTENT
Student Learning Outcomes:
At the conclusion of this course, the student should be able to:
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1. Define and graph the six trigonometric functions and their inverses, solve equations involving trigonometric functions symbolically and graphically, and verify trigonometric identities.
2. Use trigonometric functions, identities, and the Laws of Sines and Cosines to solve application problems.
3. Define, graph, and demonstrate appropriate applications of vectors, complex numbers in trigonometric form, polar coordinates, and parametric equations.
Objectives:
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At the conclusion of this course, the student should be able to:
1. Define and apply the trigonometric functions, using right triangle and unit circle approaches, and using degree and radian measures.
2. Verify and apply trigonometric identities.
3. Solve equations involving trigonometric functions both graphically and analytically.
4. Graph trigonometric functions and their transformations.
5. Define and graph the inverse trigonometric functions.
6. Solve applications and modeling problems using the trigonometric functions, identities, and the laws of sines and cosines.
7. Represent complex numbers in trigonometric form and perform operations.
8. Use vectors to model applications in mathematics and science.
9. Leverage technology to solve trigonometric equations.
10. Employ technology to analyze and graph polar and parametric equations.
Topics and Scope
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I. Trigonometric Functions
A. Radian and degree measures of angles
1. Arc length
2. Area of a sector
3. Linear and angular velocity
B. Right triangle and unit circle definitions
C. Characteristics of trigonometric functions
II. Identities and Conditional Equations
A. Fundamental identities
B. Sum and difference identities
C. Related identities and their derivations
D. Conditional trigonometric equations and applications
E. Solving trigonometric equations graphically using technology
III. Graphical Representation of Trigonometric Functions
A. Amplitude
B. Reflections
C. Period
D. Phase (horizontal) shift
E. Vertical shifts
F. Modeling
IV. Inverse Trigonometric Functions
A. Definitions
B. Properties
C. Graphs
V. Solutions of Triangles
A. Right triangles
B. Oblique triangles
C. Laws of Sines and Cosines
D. Applications
VI. Complex Numbers, Polar Coordinates, and Parametric Equations
A. Complex numbers
1. Graphical representation
2. Trigonometric form of complex numbers
B. DeMoivre's Theorem
C. Polar coordinates
1. Converting between polar and Cartesian coordinates
2. Converting between polar and Cartesian equations
3. Graphs of polar equations
a. Characteristics of graphs
b. Graphing with and without technology
D. Parametric equations
VII. Two Dimensional Vectors
A. Geometric and analytic definitions
B. Algebra of vectors
C. Trigonometric form of vectors
D. Dot product
E. Applications
Assignments:
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1. Reading assignments (10-60 pages per week)
2. Problem sets (1-8 per week)
3. Quiz(zes) (0-4 per week)
4. Project(s) (0-10)
5. Exams (2-6)
6. Final exam
Methods of Evaluation/Basis of Grade.
| Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. | Writing
0 - 0% |
| None | |
| This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course. |
|
| Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills. | Problem Solving
5 - 20% |
| Problem sets | |
| Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations
0 - 0% |
| None | |
| Exams: All forms of formal testing, other than skill performance exams. | Exams
70 - 90% |
| Quiz(zes), exams, final exam | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 10% |
| Project(s) | |
Representative Textbooks and Materials:
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Precalculus: Mathematics for Calculus. 7th ed. Stewart, James and Redlin, Lothar and Watson, Saleem. Cengage L. 2016. (classic).
Precalculus. 3rd corrected ed. Stitz, Carl and Zeager, Jeffrey. Open Source Text. 2013. (classic).
Trigonometry: A Unit Circle Approach. 12th ed. Sullivan, Michael. Pearson. 2025.
OTHER REQUIRED ELEMENTS
| Student Preparation |
| Matric Assessment Required: | M | Requires Math Assessment |
| Prerequisites-generate description: | U | User Generated Text |
| Advisories-generate description: | NA | No Advisory |
| Prereq-provisional: | N | NO |
| Prereq/coreq-registration check: | Y | Prerequisite Rules Exist |
| Requires instructor signature: | N | Instructor's Signature Not Required |
| | | |
| BASIC INFORMATION, HOURS/UNITS & REPEATABILITY |
| Method of instruction: | 02 | Lecture |
| Area department: | MATH | Mathematics |
| Division: | 73 | Science, Technology, Engineering & Mathematics |
| Special topic course: | N | Not a Special Topic Course |
| Program Status: | 1 | Both Certificate and Major Applicable |
| Repeatability: | 00 | Two Repeats if Grade was D, F, NC, or NP |
| Repeat group id: | | |
| | | |
| SCHEDULING |
| Audit allowed: | N | Not Auditable |
| Open entry/exit: | N | Not Open Entry/Open Exit |
| Credit by Exam: | N | Credit by examination not allowed |
| Budget code: Program: | 0000 | Unrestricted |
| Budget code: Activity: | 1701 | Mathematics-General |
| | | |
| OTHER CODES |
| Disciplines: | Mathematics |
| Basic Skills: | N | Not a Basic Skills Course |
| Level below transfer: | Y | Not Applicable |
| CVU/CVC status: | N | Not Distance Ed |
| Distance Ed Approved: | N | |
| Emergency Distance Ed Approved: | Y | Fully Online
Partially Online
Online with flexible in-person activities
|
| Credit for Prior Learning: | N | Agency Exam |
| N | CBE |
| N | Industry Credentials |
| N | Portfolio |
| Non-credit category: | Y | Not Applicable, Credit Course |
| Classification: | Y | Liberal Arts and Sciences Courses |
| SAM classification: | E | Non-Occupational |
| TOP code: | 1701.00 | Mathematics, General |
| Work-based learning: | N | Does Not Include Work-Based Learning |
| DSPS course: | N | NO |
| In-service: | N | Not an In-Service Course |
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