Chapter 1: Introduction to Trigonometry

1.1 Angle Measure and Special Triangles

1.2 Properties of Triangles; Similar Triangles

Mid-Chapter Check

RBC: More on Special Triangles

1.3 Trigonometry: A View from the Coordinate Plane

1.4 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

Chapter 2: Right Triangles & Static Trigonometry

2.1 A Right Triangle View of Trigonometry

2.2 Solving Right Triangles

Mid-Chapter Check

RBC: The Area of a Triangle

2.3 Applications of Static Trigonometry

2.4 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

Chapter 3: Radian Measure & Dynamic Trigonometry

3.1 Angle Measure in Radians

3.2 Arc Lengths, Velocities, and the Area of a Circular Sector

Mid-Chapter Check

RBC: More on Radians

3.3 The Unit Circle

3.4 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

Chapter 4: Trigonometric Graphs and Models

4.1 Graphs of Sine and Cosine Functions

4.2 Graphs of Cosecant, Secant, Tangent and Cotangent Functions

Mid-Chapter Check

RBC: Trigonometric Potpourri

4.3 Transformations of Trigonometric Graphs

4.4 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

Chapter 5: Trigonometric Identities

5.1 More on Verifying Identities

5.2 The Sum and Difference Identities

Mid-Chapter Check RBC: Understanding Identities

5.3 The Double Angle and Half Angle Identities

5.4 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

Chapter 6: Inverse Functions and Trigonometric Equations

6.1 One-to-One and Inverse Functions

6.2 Inverse Trigonometric Functions and their Applications

Mid -Chapter Check

RBC: More on Equation Solving

6.3 Solving Basic Trigonometric Equations

6.4 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

Chapter 7: Applications of Trigonometry

7.1 Oblique Triangles and the Law of Sines

7.2 The Law of Cosines; the Area of a Triangle

Mid -Chapter Check

RBC

7.3 Vectors and Vector Diagrams

7.4 Vectors Applications and the Dot Product

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS

Cumulative Review 1 - 7

Chapter 8: Trigonometric Connections to Algebra

8.1 Complex Numbers

8.2 Complex Numbers in Trigonometric Form

8.3 Demoivre’s Theorem and the nth Roots Theorem

Mid-Chapter Check

RBC

8.4 Polar Coordinates and Equations

8.5 Graphs of Polar Equations

8.6 Parametric Equations and Graphs

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS

Cumulative Review 1 – 8

Appendices

A.1 Exponential and Logarithmic Functions

A.2 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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