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Trigonometry
This trigonometry textbook this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section.
- Author
- Ted Sundstrom & Steven Schlicker
- Publisher
- Grand Valley State University
- Source
- LibreTexts
- License
- CC BY-NC-SA
- Language
- EN
- Category
- Basic Sciences
Contents· 39 sections
- 01: The Trigonometric Functions
- 1.0E: 1.E: The Trigonometric Functions (Exercises)
- 1.01: The Unit Circle
- 1.02: The Cosine and Sine Functions
- 1.03: Arcs Angles and Calculators
- 1.04: Velocity and Angular Velocity
- 1.05: Common Arcs and Reference Arcs
- 1.06: Other Trigonometric Functions
- 02: Graphs of the Trigonometric Functions
- 2.0E: 2.E: Graphs of the Trigonometric Functions (Exercises)
- 2.01: Graphs of the Cosine and Sine Functions
- 2.02: Graphs of Sinusoidal Functions
- 2.03: Applications and Modeling with Sinusoidal Functions
- 2.04: Graphs of the Other Trigonometric Functions
- 2.05: Inverse Trignometric Functions
- 2.06: Solving Trigonmetric Equations
- 03: Triangles and Vectors
- 3.0E: 3.E: Triangles and Vectors (Exercises)
- 3.01: Trigonometric Functions of Angles
- 3.02: Right Triangles
- 3.03: Triangles that are Not Right Triangles
- 3.04: Applications of Triangle Trigonometry
- 3.05: Vectors from a Geometric Point of View
- 3.06: Vectors from an Algebraic Point of View
- 04: Trigonometric Identities and Equations
- 4.0E: 4.E: Trigonometric Identities and Equations (Exercises)
- 4.01: Trigonometric Identities
- 4.02: Trigonometric Equations
- 4.03: Sum and Difference Identities
- 4.04: Double and Half Angle Identities
- 4.05: Sum-Product Identities
- 05: Complex Numbers and Polar Coordinates
- 5.0E: 5.E: Complex Numbers and Polar Coordinates (Exercises)
- 5.01: The Complex Number System
- 5.02: The Trigonometric Form of a Complex Number
- 5.03: DeMoivres Theorem and Powers of Complex Numbers
- 5.04: The Polar Coordinate System
- 06: Some Geometric Facts about Triangles and Parallelograms
- 07: Answers for the Progress Checks