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 | |

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