Lsc Trigonometry: Revised Third Edition - Gary Sarell
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Présentation Lsc Trigonometry: Revised Third Edition de Gary Sarell Format Broché
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Résumé :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 ...
Biographie: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 ...
Sommaire: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 ...