Trigonometry 5th Edition

Cover
Title Page
Copyright Page
Contents
Preface
Resources for Success
Acknowledgments
P Algebraic Prerequisites
P.1 The Cartesian Coordinate System
P.2 Functions
P.3 Families of Functions, Transformations, and Symmetry
P.4 Compositions and Inverses
Highlights
Chapter P Review Exercises
Chapter P Test
1 Angles and the Trigonometric Functions
1.1 Angles and Degree Measure
1.2 Radian Measure, Arc Length, and Area
1.3 Angular and Linear Velocity
1.4 The Trigonometric Functions
1.5 Right Triangle Trigonometry
1.6 The Fundamental Identity and Reference Angles
Highlights
Chapter 1 Review Exercises
Chapter 1 Test
2 Graphs of the Trigonometric Functions
2.1 The Unit Circle and Graphing
2.2 The General Sine Wave
2.3 Graphs of the Secant and Cosecant Functions
2.4 Graphs of the Tangent and Cotangent Functions
2.5 Combining Functions
Highlights
Chapter 2 Review Exercises
Chapter 2 Test
Tying It All Together
3 Trigonometric Identities
3.1 Basic Identities
3.2 Verifying Identities
3.3 Sum and Difference Identities for Cosine
3.4 Sum and Difference Identities for Sine and Tangent
3.5 Double-Angle and Half-Angle Identities
3.6 Product and Sum Identities
Highlights
Chapter 3 Review Exercises
Chapter 3 Test
Tying It All Together
4 Solving Conditional Trigonometric Equations
4.1 The Inverse Trigonometric Functions
4.2 Basic Sine, Cosine, and Tangent Equations
4.3 Equations Involving Compositions
4.4 Trigonometric Equations of Quadratic Type
Highlights
Chapter 4 Review Exercises
Chapter 4 Test
Tying It All Together
5 Applications of Trigonometry
5.1 The Law of Sines
5.2 The Law of Cosines
5.3 Area of a Triangle
5.4 Vectors
5.5 Applications of Vectors
Highlights
Chapter 5 Review Exercises
Chapter 5 Test
Tying It All Together
6 Complex Numbers, Polar Coordinates, and Parametric Equations
6.1 Complex Numbers
6.2 Trigonometric Form of Complex Numbers
6.3 De Moivre’s Theorem, Powers, and Roots
6.4 Polar Equations
6.5 Parametric Equations
6.6 Fun with Polar and Parametric Equations
Highlights
Chapter 6 Review Exercises
Chapter 6 Test
Tying It All Together
Photo Credits
Answers to Exercises
Index of Applications
Index
A
B
C
D
E
F
G
H
I
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Function Gallery I-11