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Tables of Contents for Fundamentals of Trigonometry
Chapter/Section Title
Page #
Page Count
PREFACE
VIII
 
CHAPTER 1 TOPICS FROM ALGEBRA
1
90
1.1 Real Numbers, Equations, and Inequalities
2
13
1.2 Rectangular Coordinate Systems and Graphs
15
18
1.3 Functions
33
18
1.4 Graphs of Functions
51
16
1.5 Inverse Functions
67
10
1.6 Exponential and Logarithmic Functions
77
7
CHAPTER 1 REVIEW EXERCISES
84
4
CHAPTER 1 DISCUSSION EXERCISES
88
3
CHAPTER 2 THE TRIGONOMETRIC FUNCTIONS
91
98
2.1 Angles
92
9
2.2 The Trigonometric Functions
101
14
2.3 Graphs of the Trigonometric Functions
115
13
2.4 Trigonometric Functions of Angles
128
9
2.5 Values of the Trigonometric Functions
137
7
2.6 Trigonometric Graphs
144
15
2.7 Additional Trigonometric Graphs
159
9
2.8 Applied Problems
168
13
CHAPTER 2 REVIEW EXERCISES
181
6
CHAPTER 2 DISCUSSION EXERCISES
187
2
CHAPTER 3 ANALYTIC TRIGONOMETRY
189
64
3.1 Verifying Trigonometric Identities
190
5
3.2 Trigonometric Equations
195
12
3.3 The Addition and Subtraction Formulas
207
11
3.4 Multiple-Angle Formulas
218
10
3.5 Product-to-Sum and Sum-to-Product Formulas
228
5
3.6 The Inverse Trigonometric Functions
233
15
CHAPTER 3 REVIEW EXERCISES
248
3
CHAPTER 3 DISCUSSION EXERCISES
251
2
CHAPTER 4 APPLICATIONS OF TRIGONOMETRY
253
60
4.1 The Law of Sines
254
10
4.2 The Law of Cosines
264
10
4.3 Trigonometric Form for Complex Numbers
274
5
4.4 De Moivre's Theorem and nth Roots of Complex Numbers
279
5
4.5 Vectors
284
14
4.6 The Dot Product
298
10
CHAPTER 4 REVIEW EXERCISES
308
3
CHAPTER 4 DISCUSSION EXERCISES
311
2
CHAPTER 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
313
60
5.1 Exponential Functions
314
11
5.2 The Natural Exponential Function
325
10
5.3 Logarithmic Functions
335
15
5.4 Properties of Logarithms
350
8
5.5 Exponential and Logarithmic Equations
358
10
CHAPTER 5 REVIEW EXERCISES
368
2
CHAPTER 5 DISCUSSION EXERCISES
370
3
CHAPTER 6 TOPICS FROM ANALYTIC GEOMETRY
373
70
6.1 Parabolas
374
10
6.2 Ellipses
384
13
6.3 Hyperbolas
397
13
6.4 Plane Curves and Parametric Equations
410
10
6.5 Polar Coordinates
420
12
6.6 Polar Equations of Conics
432
7
CHAPTER 6 REVIEW EXERCISES
439
2
CHAPTER 6 DISCUSSION EXERCISES
441
2
APPENDIXES
443
 
I Using a TI-82/83 Graphing Calculator
443
33
II Common Graphs and Their Equations
476
2
III A Summary of Graph Transformations
478
2
IV Graphs of Trigonometric Functions and Their Inverses
480
2
V Complex Numbers
482
7
VI Lines
489
 
ANSWERS TO SELECTED EXERCISES
A1
62
INDEX OF APPLICATIONS
A63
4
INDEX
A67