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