Table of Contents:
Chapter 1: Triangles and Circles
Introduction to Triangles and Circles
1.1 Triangles and Angles
1.2 Similar Triangles
1.3 Circles
Chapter 1 Summary and Review
Exercises: 1.1 Triangles and Angles
Exercises: 1.2 Similar Triangles
Exercises: 1.3 Circles
Exercises: Chapter 1 Review Problems
Chapter 2: Trigonometric Ratios
Introduction to the Trigonometric Ratios
2.1 Side and Angle Relationships
2.2 Right Triangle Trigonometry
2.3 Solving Right Triangles
Chapter 2 Summary and Review
Exercises: 2.1 Side and Angle Relationships
Exercises: 2.2 Right Triangle Trigonometry
Exercises: 2.3 Solving Right Triangles
Exercises: Chapter 2 Review Problems
Chapter 3: Laws of Sines and Cosines
Introduction to Laws of Sines and Cosines
3.1 Obtuse Angles
3.2 The Law of Sines
3.3 The Law of Cosines
Chapter 3 Summary and Review
Exercises: 3.1 Obtuse Angles
Exercises: 3.2 The Law of Sines
Exercises: 3.3 The Law of Cosines
Exercises: Chapter 3 Review Problems
Chapter 4: Trig Functions
Introduction to Trigonometric Functions
4.1 Angles and Rotation
4.2 Graphs of Trigonometric Functions
4.3 Periodic Functions
Chapter 4 Summary and Review
Exercises: 4.1 Angles and Rotation
Exercises: 4.2 Graphs of Trigonometric Functions
Exercises: 4.3 Periodic Functions
Exercises: Chapter 4 Review Problems
Chapter 5: Equations and Identities
Introduction to Equations and Identities
5.1 Algebra with Trigonometric Ratios
5.2 Solving Equations
5.3 Trigonometric Identities
Chapter 5 Summary and Review
Exercises: 5.1 Algebra with Trigonometric Ratios
Exercises: 5.2 Solving Equations
Exercises: 5.3 Trigonometric Identities
Exercises: Chapter 5 Review Problems
Chapter 6: Radians
Introduction to Trig Radians
6.1 Arclength and Radians
6.2 The Circular Functions
6.3 Graphs of the Circular Functions
Chapter 6 Summary and Review
Exercises 6.1 Arclength and Radians
Exercises 6.2 The Circular Functions
Exercises 6.3 Graphs of the Circular Functions
Exercises: Chapter 6 Review Problems
Chapter 7: Circular Functions
Introduction to Circular Functions
7.1 Transformations of Graphs
7.2 The General Sinusoidal Function
7.3 Solving Equations
Chapter 7 Summary and Review
Exercises 7.1 Transformations of Graphs
Exercises 7.2 The General Sinusoidal Function
Exercises 7.3 Solving Equations
Exercises: Chapter 7 Review Problems
Chapter 8: More Functions and Identities
Introduction to More Functions and Identities
8.1 Sum and Difference Formulas
8.2 Inverse Trigonometric Functions
8.3 The Reciprocal Functions
Chapter 8 Summary and Review
Exercises: 8.1 Sum and Difference Formulas
Exercises: 8.2 Inverse Trigonometric Functions Exercises
Exercises: 8.3 The Reciprocal Functions Exercises
Exercises: Chapter 8 Review Problems
Chapter 9: Vectors
Introduction to Vectors
9.1 Geometric Form
9.2 Coordinate Form
9.3 The Dot Product
Chapter 9 Summary and Review
Exercises: 9.1 Geometric Form
Exercises: 9.2 Coordinate Form
Exercises: 9.3 The Dot Product
Exercises: Chapter 9 Review Problems
Chapter 10: Polar Coordinates and Complex Numbers
Introduction to Polar Coordinates and Complex Numbers
10.1 Polar Coordinates
10.2 Polar Graphs
10.3 Complex Numbers
10.4 Polar Form for Complex Numbers
Chapter 10 Summary and Review
Exercises: 10.1 Polar Coordinates
Exercises: 10.2 Polar Graphs
Exercises: 10.3 Complex Numbers
Exercises: 10.4 Polar Form of Complex Numbers
Exercises: Chapter 10 Review Problems
This textbook was created through Connecting the Pipeline: Libraries, OER, and Dual Enrollment from Secondary to Postsecondary, a $1.3 million project funded by LOUIS: The Louisiana Library Network and the Institute of Library and Museum Services. This project supports the extension of access to high-quality post-secondary opportunities to high school students across Louisiana and beyond by creating materials that can be adopted for dual enrollment environments. Dual enrollment is the opportunity for a student to be enrolled in high school and college at the same time.
The cohort-developed OER course materials are released under a license that permits their free use, reuse, modification and sharing with others. This includes a corresponding course available in Moodle and Canvas that can be imported to other platforms.
