| |
| |
| |
| Introduction to Trigonometry | |
| |
| |
| |
| Angle Measure and Special Triangles | |
| |
| |
| |
| Properties of Triangles; Similar Triangles | |
| |
| |
| Mid-Chapter Check | |
| |
| |
| RBC: More on Special Triangles | |
| |
| |
| |
| Trigonometry: A View from the Coordinate Plane | |
| |
| |
| |
| Fundamental Identities and Families of Identities | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery: The Range of Sine, Cosine, and Tangent | |
| |
| |
| SCS: Creating New Identities | |
| |
| |
| |
| Right Triangles & Static Trigonometry | |
| |
| |
| |
| A Right Triangle View of Trigonometry | |
| |
| |
| |
| Solving Right Triangles | |
| |
| |
| Mid-Chapter Check | |
| |
| |
| RBC: The Area of a Triangle | |
| |
| |
| |
| Applications of Static Trigonometry | |
| |
| |
| |
| Extending Beyond Acute Angles | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery: Solving Triangles | |
| |
| |
| SCS: Standard Angles, Reference Angles, and the Trig Functions | |
| |
| |
| Cumulative Review 1 - 2 | |
| |
| |
| |
| Radian Measure & Dynamic Trigonometry | |
| |
| |
| |
| Angle Measure in Radians | |
| |
| |
| |
| Arc Lengths, Velocities, and the Area of a Circular Sector | |
| |
| |
| Mid-Chapter Check | |
| |
| |
| RBC: More on Radians | |
| |
| |
| |
| The Unit Circle | |
| |
| |
| |
| The Trigonometry of Real Numbers | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery: Signs, Quadrants and Reference Arcs | |
| |
| |
| SCS: Trigonometry of the Real Numbers and the Wrapping Function | |
| |
| |
| Cumulative Review 1 - 3 | |
| |
| |
| |
| Trigonometric Graphs and Models | |
| |
| |
| |
| Graphs of Sine and Cosine Functions | |
| |
| |
| |
| Graphs of Cosecant, Secant, Tangent and Cotangent Functions | |
| |
| |
| Mid-Chapter Check | |
| |
| |
| RBC: Trigonometric Potpourri | |
| |
| |
| |
| Transformations of Trigonometric Graphs | |
| |
| |
| |
| Trigonometric Applications and Models | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery | |
| |
| |
| SCS | |
| |
| |
| Cumulative Review 1 - 4 | |
| |
| |
| Modeling With Technology: Trigonometric Equation Models | |
| |
| |
| |
| Trigonometric Identities | |
| |
| |
| |
| More on Verifying Identities | |
| |
| |
| |
| The Sum and Difference Identities | |
| |
| |
| Mid-Chapter Check RBC: Understanding Identities | |
| |
| |
| |
| The Double Angle and Half Angle Identities | |
| |
| |
| |
| The Product-to-Sum and Sum-to-Product Identities | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery | |
| |
| |
| SCS | |
| |
| |
| Cumulative Review 1 - 5 | |
| |
| |
| |
| Inverse Functions and Trigonometric Equations | |
| |
| |
| |
| One-to-One and Inverse Functions | |
| |
| |
| |
| Inverse Trigonometric Functions and their Applications | |
| |
| |
| Mid -Chapter Check | |
| |
| |
| RBC: More on Equation Solving | |
| |
| |
| |
| Solving Basic Trigonometric Equations | |
| |
| |
| |
| General Trigonometric Equations and Applications | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery | |
| |
| |
| SCS: Trigonometric Equations and Inequalities | |
| |
| |
| Cumulative Review 1 - 6 | |
| |
| |
| |
| Applications of Trigonometry | |
| |
| |
| |
| Oblique Triangles and the Law of Sines | |
| |
| |
| |
| The Law of Cosines; the Area of a Triangle | |
| |
| |
| Mid -Chapter Check | |
| |
| |
| RBC | |
| |
| |
| |
| Vectors and Vector Diagrams | |
| |
| |
| |
| Vectors Applications and the Dot Product | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery | |
| |
| |
| SCS | |
| |
| |
| Cumulative Review 1 - 7 | |
| |
| |
| |
| Trigonometric Connections to Algebra | |
| |
| |
| |
| Complex Numbers | |
| |
| |
| |
| Complex Numbers in Trigonometric Form | |
| |
| |
| |
| Demoivre’s Theorem and the nth Roots Theorem | |
| |
| |
| Mid-Chapter Check | |
| |
| |
| RBC | |
| |
| |
| |
| Polar Coordinates and Equations | |
| |
| |
| |
| Graphs of Polar Equations | |
| |
| |
| |
| Parametric Equations and Graphs | |
| |
| |
| Summary/Concept Rev, Mixed Rev, Practice Test | |
| |
| |
| Calc Exploration and Discovery | |
| |
| |
| SCS | |
| |
| |
| Cumulative Review 1 - 8 | |
| |
| |
| Appendices | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| Review and Technology | |
| |
| |
| •Miscellaneous Algebra Review | |
| |
| |
| •Transformations of Basic Graphs | |
| |
| |
| •Solving Equations Graphically | |
| |
| |
| •Regression and Calculator Use | |
| |
| |
| •Families of Polar Graphs | |