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Table of Contents

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Program Details

PREFACE

CHAPTER 1: Measurement of Angles, Arcs and Sectors

1-1 Using Radians, Degrees, or Grads to Measure Angles

1-2 Length of an Arc and Area of a Sector of a Circle

1-3 Circular Motion

Key Ideas

Review Test

CHAPTER 2: The Trigonometric Functions

2-1 Definition of the Six Trigonometric Functions

2-2 Values of the Trigonometric Functions for 0, 30, 45, 60, 90, 180 degree Angles

2-3 Trigonometric Functions for Right Triangles

2-4 Solving Right Triangles

2-5 Applications of Right Triangle Trigonometry

2-6 Circular Functions

Key Ideas

Review Test

CHAPTER 3: Graphs of the Trigonometric Functions

3-1 Graphing Generic Sine and Cosine Functions

3-2 Shifting Generic Curves Right/Left or Up/Down

3-3 Using the Graphing Calculator to Graph Functions by Addition of Ordinates

3-4 Graphing the Tangent and Cotangent Functions

3-5 Graphing the Secant and Cosecant Functions

3-6 Qualitative Analysis of Trigonometric Functions

Key Ideas

Review Test

CHAPTER 4: Inverse Trigonometric Functions

4-1 Relations, Functions, and Their Inverses

4-2 Inverse of the Trigonometric Functions

4-3 Finding Inverses of Trigonometric Functions Using a Calculator

Key Ideas

Review Test

CHAPTER 5: Basic Trigonometric Identities

5-1 Fundamental Identities

5-2 Opposite Angle Identities

5-3 Additional Techniques to Prove Identities

Key Ideas

Review Test

CHAPTER 6: Sum and Difference Identities

6-1 Sum and Difference Formulas for Cosine

6-2 Some Identities Useful in Calculus

6-3 Tan ( ¦ ¯)

6-4 Identities Involving Sums and Differences of n or +n

Key Ideas

Review Test

Chapters 1-6 Cumulative Review

CHAPTER 7: Additional Identities

7-1 Double-Angle Identities

7-2 Half-Angle Identities

7-3 Identities to Rewrite Sums and Products

Key Ideas

Review Test

CHAPTER 8: Trigonometric Equations

8-1 Solving Basic Trigonometric Equations

8-2 Solving Trigonometric Equations Involving Factoring

8-3 Solving Trigonometric Equations Where the Argument is a Function

8-4 Using Identities to Solve Trigonometric Equations

8-5 Applications

Key Ideas

Review Test

CHAPTER 9: Laws of Sines and Law of Cosines

9-1 Derivation of the Law of Sines

9-2 The Ambiguous Case

9-3 Applications of the Law of Sines

9-4 Derivations of the Law of Cosines

9-5 Applications of the Law of Cosines

9-6 Area of a Triangle

Key Ideas

Review Test

CHAPTER 10: Vectors

10-1 Addition of Vectors

10-2 Geometric Resolution of Vectors

10-3 Algebraic Resolution of Vectors

10-4 Work, Inclined Planes, and the Dot Product

Key Ideas

Review Test

CHAPTER 11: Complex Numbers

11-1 Algebraic Operations with Complex Numbers

11-2 Trigonometric and Polar Representation of Complex Numbers

11-3 DeMoivre's Theorem

Key Ideas

Review Test

CHAPTER 12: Polar Coordinates

12-1 The Polar Coordinate System

12-2 Parametric Equations

12-3 Other Curves in Polar Coordinates

Key Ideas

Review Test

Chapters 1-12 Cumulative Review

APPENDIX ROUNDING OFF AND SIGNIFICANT FIGURES

SELECTED ANSWERS

INDEX