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Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.
Features
New To This Edition
1. The Trigonometric Functions.
Angles.
Angle Relationships and Similar Triangles.
Using the Definitions of the Trigonometric Functions.
2. Acute Angles and Right Triangles.
Trigonometric Functions of Acute Angles.
Trigonometric Functions of Non-Acute Angles.
Finding Trigonometric Function Values Using a Calculator.
Solving Right Triangles.
Further Applications of Right Triangles.
3. Radian Measure and the Circular Functions.
Radian Measure.
Applications of Radian Measure.
The Unit Circle and Circular Functions.
Linear and Angular Velocity.
4. Graphs of the Circular Functions.
Graphs of the Sine and Cosine Functions.
Translations of the Graphs of the Sine and Cosine Functions.
Graphs of the Other Circular Functions.
Harmonic Motion.
5. Trigonometric Identities.
Fundamental Identities.
Verifying Trigonometric Identities.
Sum and Difference Identities for Cosine.
Sum and Difference Identities for Sine and Tangent.
Double-Angle Identities.
Half-Angle Identities.
6. Inverse Trigonometric Functions and Trigonometric Equations.
Inverse Trigonometric Functions.
Trigonometric Equations I.
Trigonometric Equations II.
Equations Involving Inverse Trigonometric Functions.
7. Applications of Trigonometry and Vectors.
Oblique Triangles and the Law of Sines.
The Ambiguous Case of the Law of Sines.
The Law of Cosines.
Vectors and the Dot Product.
Applications of Vectors.
8. Complex Numbers, Polar Equations, and Parametric Equations.
Complex Numbers.
Trigonometric (Polar) Form of Complex Numbers.
The Product and Quotient Theorems.
Powers and Roots of Complex Numbers.
Polar Equations and Graphs.
Parametric Equations, Graphs, and Applications.
9. Exponential and Logarithmic Functions.
Exponential Functions.
Logarithmic Functions.
Evaluating Logarithms; Equations and Applications.
Appendix A: Equations and Inequalities.
Appendix B: Graphs of Equations.
Appendix C: Functions.
Appendix D: Graphing Techniques.
Glossary.
Solutions to Selected Exercises.
Answers to Selected Exercises.
Index of Applications.
Index.
Margaret Lial, John Hornsby and John Hornsby
ISBN13: 978-0321227362Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.
Features
New To This Edition
Table of Contents
1. The Trigonometric Functions.
Angles.
Angle Relationships and Similar Triangles.
Using the Definitions of the Trigonometric Functions.
2. Acute Angles and Right Triangles.
Trigonometric Functions of Acute Angles.
Trigonometric Functions of Non-Acute Angles.
Finding Trigonometric Function Values Using a Calculator.
Solving Right Triangles.
Further Applications of Right Triangles.
3. Radian Measure and the Circular Functions.
Radian Measure.
Applications of Radian Measure.
The Unit Circle and Circular Functions.
Linear and Angular Velocity.
4. Graphs of the Circular Functions.
Graphs of the Sine and Cosine Functions.
Translations of the Graphs of the Sine and Cosine Functions.
Graphs of the Other Circular Functions.
Harmonic Motion.
5. Trigonometric Identities.
Fundamental Identities.
Verifying Trigonometric Identities.
Sum and Difference Identities for Cosine.
Sum and Difference Identities for Sine and Tangent.
Double-Angle Identities.
Half-Angle Identities.
6. Inverse Trigonometric Functions and Trigonometric Equations.
Inverse Trigonometric Functions.
Trigonometric Equations I.
Trigonometric Equations II.
Equations Involving Inverse Trigonometric Functions.
7. Applications of Trigonometry and Vectors.
Oblique Triangles and the Law of Sines.
The Ambiguous Case of the Law of Sines.
The Law of Cosines.
Vectors and the Dot Product.
Applications of Vectors.
8. Complex Numbers, Polar Equations, and Parametric Equations.
Complex Numbers.
Trigonometric (Polar) Form of Complex Numbers.
The Product and Quotient Theorems.
Powers and Roots of Complex Numbers.
Polar Equations and Graphs.
Parametric Equations, Graphs, and Applications.
9. Exponential and Logarithmic Functions.
Exponential Functions.
Logarithmic Functions.
Evaluating Logarithms; Equations and Applications.
Appendix A: Equations and Inequalities.
Appendix B: Graphs of Equations.
Appendix C: Functions.
Appendix D: Graphing Techniques.
Glossary.
Solutions to Selected Exercises.
Answers to Selected Exercises.
Index of Applications.
Index.