Algebra & Trigonometry, 4th edition By Kirk Trigsted (Test Bank)

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R. Review Chapter R.1 Real Numbers R.2 A Review of Fractions and the Order of Operations R.3 The Properties of Integer Exponents R.4 Radicals and Rational Exponents R.5 Polynomials R.6 Operation... s with Radicals R.7 Factoring Polynomials R.8 Rational Expressions R.9 The Addition and Multiplication Properties of Equality Chapter Summary 1. Equations, Inequalities, and Applications 1.1 Linear and Rational Equations 1.2 Applications of Linear Equations and Rational Equations 1.3 Complex Numbers 1.4 Quadratic Equations 1.5 Applications of Quadratic Equations 1.6 Other Types of Equations 1.7 Linear Inequalities in One Variable 1.8 Absolute Value Equations and Inequalities 1.9 Polynomial and Rational Inequalities Chapter Summary 2. The Rectangular Coordinate System, Lines, and Circles 2.1 The Rectangular Coordinate System 2.2 Circles 2.3 Lines 2.4 Parallel and Perpendicular Lines Chapter Summary 3. Functions 3.1 Relations and Functions 3.2 Properties of a Function's Graph 3.3 Graphs of Basic Functions; Piecewise Functions 3.4 Transformations of Functions 3.5 The Algebra of Functions; Composite Functions 3.6 One-to-One Functions; Inverse Functions Chapter Summary 4. Polynomial and Rational Functions 4.1 Quadratic Functions 4.2 Applications and Modeling of Quadratic Functions 4.3 The Graphs of Polynomial Functions 4.4 Synthetic Division; The Remainder and Factor Theorems 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra 4.6 Rational Functions and Their Graphs 4.7 Variation Chapter Summary 5. Exponential and Logarithmic Functions and Equations 5.1 Exponential Functions 5.2 Logarithmic Functions 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Applications of Exponential and Logarithmic Functions Chapter Summary 6. An Introduction to Trigonometric Functions 6.1 An Introduction to Angles: Degree and Radian Measure 6.2 Applications of Radian Measure 6.3 Triangles 6.4 Right Triangle Trigonometry 6.5 Trigonometric Functions of General Angles 6.6 The Unit Circle Chapter Summary 7. The Graphs of Trigonometric Functions 7.1 The Graphs of Sine and Cosine 7.2 More on Graphs of Sine and Cosine; Phase Shift 7.3 The Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 7.4 Inverse Trigonometric Functions I 7.5 Inverse Trigonometric Functions II Chapter Summary 8. Trigonometric Identities, Formulas, and Equations 8.1 Trigonometric Identities 8.2 The Sum and Difference Formulas 8.3 The Double-Angle and Half-Angle Formulas 8.4 The Product-to-Sum and Sum-to-Product Formulas 8.5 Trigonometric Equations Chapter Summary 9. Applications of Trigonometry 9.1 Right Triangle Applications 9.2 The Law of Sines 9.3 The Law of Cosines 9.4 Area of Triangles Chapter Summary 10. Polar Equations, Complex Numbers, and Vectors 10.1 Polar Coordinates and Polar Equations 10.2 Graphing Polar Equations 10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem 10.4 Vectors 10.5 The Dot Product Chapter Summary 11. Conic Sections and Parametric Equations Introduction to Conic Sections 11.1 The Parabola 11.2 The Ellipse 11.3 The Hyperbola 11.4 Conic Sections in Polar Form 11.5 Parametric Equations Chapter Summary 12. Systems of Equations and Inequalities 12.1 Solving Systems of Linear Equations in Two Variables 12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method 12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination 12.4 Partial Fraction Decomposition 12.5 Systems of Nonlinear Equations 12.6 Systems of Inequalities Chapter Summary 13. Matrices 13.1 Matrix Operations 13.2 Inverses of Matrices and Matrix Equations 13.3 Determinants and Cramer's Rule Chapter Summary 14. Sequences and Series; Counting and Probability 14.1 Introduction to Sequences and Series 14.2 Arithmetic Sequences and Series 14.3 Geometric Sequences and Series 14.4 The Binomial Theorem 14.5 Mathematical Induction 14.6 The Theory of Counting 14.7 An Introduction to Probability Chapter Summary Appendices A: Degree, Minute, A Second Form and Degree Decimal Form B: Conic Section Proofs B.1 Parabola Proofs B.2 Ellipse Proofs B.3 Hyperbola Proofs [Show More]

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