Applied college algebra and trigonometry / 3rd ed.


Chapter 1 SOLVING LINEAR EQUATIONS AND INEQUALITIES 1
1-1 Solving Linear Equations 2
1-2 Solving Literal Equations 9
1-3 Solving Linear Inequalities 15
1-4 Variation 23
1-5 Applications 30
Chapter 2 FACTORS AND FRACTIONS 45
2-1 Factoring: Greatest Common Factor and Difference of Squares 46
2-2 Factoring Trinomials 53
2-3 Equivalent Fractions 59
2-4 Multiplication and Division of Fractions 63
2-5 Addition and Subtraction of Fractions 69
2-6 Fractional Equations and Applications 76
Chapter 3 EXPONENTS AND RADICALS 89
3-1 Integral Exponents 90
3-2 Rational Exponents 96
3-3 Simplest Radical Form 101
3-4 Operations with Radicals 106
3-5 Equations with Radicals 112
Chapter 4 FUNCTIONS AND GRAPHS 123
4-1 Functions 124
4-2 The Rectangular Coordinate System 129
4-3 Graphing a Function 132
4-4 Distance and Slope 140
4-5 Graphing an Inequality 148
4-6 Applications 154



Chapter 5 QUADRATIC EQUATIONS 167
5-1 Solution by Factoring and Completing the Square 168
5-2 Solution by the Quadratic Formula 176
5-3 Equations in Quadratic Form 186
5-4 Nonlinear Inequalities 190
5-5 Applications 195
Chapter 6 SYSTEMS OF EQUATIONS 209
6-1 Graphical Solution of Systems of Linear Equations 210
6-2 Algebraic Solution of Two Linear Equations 219
6-3 Algebraic Solution of Three Linear Equations 231
6-4 Applications 242
6-5 Matrix Algebra 251
Chapter 7 SOLVING HIGHER-DEGREE EQUATIONS 267
7-1 The Remainder Theorem and the Factor Theorem 268
7-2 Synthetic Division 271
7-3 Roots of an Equation 276
7-4 Rational Roots 280
7-5 Irrational Roots by Linear Approximation 285
Chapter 8 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 295
8-1 The Exponential Function 296
8-2 The Logarithmic Function 304
8-3 Properties of Logarithms 311
8-4 Exponential and Logarithmic Equations 317
Chapter 9 RIGHT ANGLE TRIGONOMETRY 331
9-1 Angles 332
9-2 Defining the Trigonometric Functions 335
9-3 Values of the Trigonometric Functions 341
9-4 The Right Triangle 348
Chapter 10 TRIGONOMETRIC FUNCTIONS OF ANY ANGLE 365
10-1 Signs of the Trigonometric Functions 366
10-2 Trigonometric Functions of Any Angle 371
10-3 Radian Measure 377
10-4 Applications of Radian Measure 382
Chapter 11 VECTORS AND OBLIQUE TRIANGLES 393
11-1 Vectors 394
11-2 Applications of Vectors 402



11-3 The Law of Sines 413
11-4 The Law of Cosines 422
Chapter 12 GRAPHS OF THE TRIGONOMETRIC FUNCTIONS 437
12-1 Graphs of Sine and Cosine Functions: Amplitude 438
12-2 Graphs of Sine and Cosine Functions: Period 444
12-3 Graphs of Sine and Cosine Functions: Phase Shift 449
12-4 Applications 455
12-5 Graphs of the Other Trigonometric Functions 462
12-6 Composite Trigonometric Curves 466
Chapter 13 TRIGONOMETRIC EQUATIONS AND IDENTITIES 477
13-1 Basic Trigonometric Identities 478
13-2 The Sum or Difference of Two Angles 485
13-3 Double-Angle and Half-Angle Identities 491
13-4 Trigonometric Equations 498
13-5 The Inverse Trigonometric Functions 506
Chapter 14 COMPLEX NUMBERS 521
14-1 Introduction to Complex Numbers 522
14-2 Operations in Rectangular Form 526
14-3 Polar Form and Exponential Form 532
14-4 Products, Quotients, Powers, and Roots of Complex Numbers 539
14-5 Applications 545
Chapter 15 ANALYTIC GEOMETRY 559
15-1 The Straight Line 560
15-2 The Circle 567
15-3 The Parabola 571
15-4 The Ellipse 578
15-5 The Hyperbola 585
15-6 The Second-Degree Equation 593
Chapter 16 INTRODUCTION TO STATISTICS AND EMPIRICAL
CURVE FITTING 607
16-1 Frequency Distributions 608
16-2 Measures of Central Tendency 615
16-3 Measures of Dispersion 620
16-4 Empirical Curve Fitting 626
Chapter 17 SEQUENCES, SERIES, AND THE BINOMIAL THEOREM 647
17-1 Arithmetic Progressions 648
17-2 Geometric Progressions 653



17-3 Infinite Geometric Series 658
17-4 The Binomial Theorem 662
APPENDIXES
A A Review of Basic Algebraic Concepts 671
B Geometry Review 721
C Tables 731
ANSWERS TO ODD-NUMBERED EXERCISES 739
INDEX 815