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Tables of Contents for Algebra and Trigonometry With Analytic Geometry
List of Graphing Calculator Topicsix
Fundamental Concepts of Algebra
1
58
Exponents and Radicals
19
12
Algebraic Expressions
31
14
Fractional Expressions
45
14
Review Exercises56
2
Discussion Exercises58
1
Equations and Inequalities
59
72
Other Types of Equations
101
9
More on Inequalities
119
12
Review Exercises127
3
Discussion Exercises130
1
Functions and Graphs
131
130
Rectangular Coordinate Systems
132
9
Definition of Function
175
18
Operations on Functions
224
11
Review Exercises252
6
Discussion Exercises258
3
Polynomial and Rational Functions
261
64
Polynomial Functions of Degree Greater Than 2
262
11
Properties of Division
273
8
Zeros of Polynomials
281
14
Complex and Rational Zeros of Polynomials
295
8
Review Exercises321
2
Discussion Exercises323
2
Exponential and Logarithmic Functions
325
66
Exponential Functions
326
12
The Natural Exponential Function
338
10
Logarithmic Functions
348
16
Properties of Logarithms
364
8
Exponential and Logarithmic Equations
372
19
Review Exercises385
3
Discussion Exercises388
3
The Trigonometric Functions
391
102
Trigonometric Functions of Angels
403
18
Trigonometric Functions of Real Numbers
421
19
Values of the Trigonometric Functions
440
8
Trigonometric Graphs
448
15
Additional Trigonometric Graphs
463
8
Review Exercises484
7
Discussion Exercises491
2
Analytic Trigonometry
493
68
Verifying Trigonometric Identities
494
6
Trigonometric Equations
500
15
The Addition and Substraction Formulas
515
11
Multiple-Angle Formulas
526
10
Product-to-Sum and Sum-to-Product Formulas
536
5
The Inverse Trigonometric Functions
541
20
Review Exercises557
3
Discussion Exercises560
1
Applications of Trigonometry
561
64
Trigonometric Form for Complex Numbers
607
7
De Moivre's Theorem and nth Roots of Complex Numbers
614
11
Review Exercises620
4
Discussion Exercises624
1
Systems of Equations and Inequalities
625
96
Systems of Linear Equations in Two Variables
635
9
Systems of Inequalities
644
9
Systems of Linear Equations in More Than Two Variables
662
15
The Algebra of Matrices
677
10
The Inverse of a Matrix
687
7
Properties of Determinants
701
8
Review Exercises715
3
Discussion Exercises718
3
Sequences, Series, and Probability
721
84
Infinite Sequences and Summation Notation
722
16
Mathematical Induction
754
7
Distinguishable Permutations and Combinations
777
9
Review Exercises799
3
Discussion Exercises802
3
Topics from Analytic Geometry
805
78
Plane Curves and Parametric Equations
842
15
Polar Equations of Conics
873
10
Review Exercises879
2
Discussion Exercises881
2
I Common Graphs and Their Equations
884
II A Summary of Graph Transformations
886
III Graphs of Trigonometric Functions and Their Inverses
888
IV Values of the Trigonometric Functions of Special Angles on a Unit Circle
890
Answers to Selected Exercises
A1
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