Synopses & Reviews
KEY BENEFIT: Ratti and McWaters have combined years of lecture notes and firsthand experience with students to bring professors a text series that teaches at the same level and in the style that they do. An extensive array of exercises and learning aids further complements your instruction in class and during office hours.
KEY TOPICS: Trigonometric Functions; Right Triangle Trigonometry; Radian Measure and Circular Functions; Graphs of the Circular Functions; Trigonometric Identities; Inverse Functions and Trigonometric Equations; Applications of Trigonometric Functions; Vectors; Polar Coordinates and Complex Numbers
MARKET: For all readers interested in trigonometry.
Table of Contents
Chapter 1 Trigonometric Functions
1.1 Angles
1.2 Triangles
1.3 Trigonometric Functions
1.4 Reference Angles
1.5 Fundamental Trigonometric Identities
Chapter Review
Review Exercises
Chapter Test
Chapter 2 Right Triangle Trigonometry
2.1 Trigonometric Functions of an Acute Angle
2.2 Solving Right Triangles
2.3 Additional Applications of Right Triangles
Chapter Review
Review Exercises
Chapter Test
Chapter 3 Radian Measure and Circular Functions
3.1 Radian Measure
3.2 Applications of Radian Measure
3.3 The Unit Circle and Circular Functions
3.4 Angular and Linear Speed
Chapter Review
Review Exercises
Chapter Test
Chapter 4 Graphs of the Circular Functions
4.1 Graphs of the Circular Functions
4.2 Amplitude and Period
4.3 Translations of the Graphs of Circular Functions
Chapter Review
Review Exercises
Chapter Test
Chapter 5 Trigonometric Identities
5.1 Verifying Identities
5.2 Sum and Difference Identities
5.3 Double-Angle and Half-Angle Identities
5.4 Product-to-Sum and Sum-to-Product Identities
Chapter Review
Review Exercises
Chapter Test
Chapter 6 Inverse Functions and Trigonometric Equations
6.1 Inverse Circular Functions
6.2 Trigonometric Equations I
6.3 Trigonometric Equations II
6.4 Equations Containing Inverse Functions
Chapter Review
Review Exercises
Chapter Test
Chapter 7 Applications of Trigonometric Functions
7.1 The Law of Sines
7.2 The Law of Sines: Ambiguous Case
7.3 The Law of Cosines
7.4 Area of a Triangle
Chapter Review
Review Exercises
Chapter Test
Chapter 8 Vectors
8.1 Geometric Vectors
8.2 Algebraic Vectors
8.3 The Dot Product
Chapter Review
Review Exercises
Chapter Test
Chapter 9 Polar Coordinates and Complex Numbers
9.1 Polar Coordinates
9.2 Complex Numbers
9.3 Polar Form of Complex Numbers
9.4 DeMoivrés Theorem
Chapter Review
Review Exercises
Chapter Test
Appendix
Review of Functions