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Intended for the freshman market, this book is known for its student-friendly approach. It starts with the right angle definition, and applications involving the solution of right triangles, to help students investigate and understand the trigonometric functions, their graphs, their relationships to one another, and ways in which they can be used in a variety of real-world applications. The book is not dependent upon a graphing calculator.
1. RIGHT-ANGLE TRIGONOMETRY.
Angles and Degree Measure.
Similar Triangles.
Trigonometric Ratios.
Right Triangle Applications.
Angles and Arc Length.
2. TRIGONOMETRIC FUNCTIONS.
Radian Measure.
Trigonometric Functions on a Unit Circle.
Fundamental Identities/Trigonometric Functions of Any Angle.
3. GRAPHS OF TRIGONOMETRIC FUNCTIONS.
Graphs of the Standard Trigonometric Functions.
General Cosine, Sine, and Tangent Curves.
Trigonometric Graphs.
Inverse Trigonometric Functions.
Cumulative Review: Chapters 1-3.
4. TRIGONOMETRIC EQUATIONS AND IDENTITIES.
Trigonometric Equations.
Trigonometric Identities.
Addition Laws.
Double-Angle and Half-Angle Identities.
Product and Sum Identities.
5. OBLIQUE TRIANGLES AND VECTORS.
Law of Cosines.
Law of Sines. Areas and Volumes.
Vector Triangles.
Vector Operations.
6. COMPLEX NUMBERS AND POLAR-FORM GRAPHING.
The Imaginary Unit and Complex Numbers.
De Moivre's Formula.
Polar Coordinates.
Graphing Polar-Form Equations.
Cumulative Review: Chapters 4-6.
Appendixes:
A. Calculators.
B. Accuracy And Rounding.
C. Review Of Algebra.
D. Review Of Geometry.
E. Selected Answers.
Index.
Intended for the freshman market, this book is known for its student-friendly approach. It starts with the right angle definition, and applications involving the solution of right triangles, to help students investigate and understand the trigonometric functions, their graphs, their relationships to one another, and ways in which they can be used in a variety of real-world applications. The book is not dependent upon a graphing calculator.
Table of Contents
1. RIGHT-ANGLE TRIGONOMETRY.
Angles and Degree Measure.
Similar Triangles.
Trigonometric Ratios.
Right Triangle Applications.
Angles and Arc Length.
2. TRIGONOMETRIC FUNCTIONS.
Radian Measure.
Trigonometric Functions on a Unit Circle.
Fundamental Identities/Trigonometric Functions of Any Angle.
3. GRAPHS OF TRIGONOMETRIC FUNCTIONS.
Graphs of the Standard Trigonometric Functions.
General Cosine, Sine, and Tangent Curves.
Trigonometric Graphs.
Inverse Trigonometric Functions.
Cumulative Review: Chapters 1-3.
4. TRIGONOMETRIC EQUATIONS AND IDENTITIES.
Trigonometric Equations.
Trigonometric Identities.
Addition Laws.
Double-Angle and Half-Angle Identities.
Product and Sum Identities.
5. OBLIQUE TRIANGLES AND VECTORS.
Law of Cosines.
Law of Sines. Areas and Volumes.
Vector Triangles.
Vector Operations.
6. COMPLEX NUMBERS AND POLAR-FORM GRAPHING.
The Imaginary Unit and Complex Numbers.
De Moivre's Formula.
Polar Coordinates.
Graphing Polar-Form Equations.
Cumulative Review: Chapters 4-6.
Appendixes:
A. Calculators.
B. Accuracy And Rounding.
C. Review Of Algebra.
D. Review Of Geometry.
E. Selected Answers.
Index.