- Chapter 1: Fundamentals
- Chapter 1.1: SETS OF REAL NUMBERS
- Chapter 1.2: ABSOLUTE VALUE
- Chapter 1.3: SOLVING EQUATIONS (REVIEW AND PREVIEW)
- Chapter 1.4: RECTANGULAR COORDINATES. VISUALIZING DATA
- Chapter 1.5: GRAPHS AND GRAPHING UTILITIES
- Chapter 1.6: EQUATIONS OF LINES
- Chapter 1.7: SYMMETRY AND GRAPHS. CIRCLES
- Chapter 10: Systems of Equations
- Chapter 10.1: SYSTEMS OF TWO LINEAR EQUATIONS IN TWO UNKNOWNS
- Chapter 10.2: GAUSSIAN ELIMINATION
- Chapter 10.3: MATRICES
- Chapter 10.4: THE INVERSE OF A SQUARE MATRIX
- Chapter 10.5: DETERMINANTS AND CRAMERS RULE
- Chapter 10.6: NONLINEAR SYSTEMS OF EQUATIONS
- Chapter 10.7: SYSTEMS OF INEQUALITIES
- Chapter 11: The Conic Sections
- Chapter 11.1: THE BASIC EQUATIONS
- Chapter 11.2: THE PARABOLA
- Chapter 11.3: TANGENTS TO PARABOLAS (OPTIONAL SECTION)
- Chapter 11.4: THE ELLIPSE
- Chapter 11.5: THE HYPERBOLA
- Chapter 11.6: THE FOCUSDIRECTRIX PROPERTY OF CONICS
- Chapter 11.7: THE CONICS IN POLAR COORDINATES
- Chapter 11.8: ROTATION OF AXES
- Chapter 12: Roots of Polynomial Equations
- Chapter 12.1: THE COMPLEX NUMBER SYSTEM
- Chapter 12.2: DIVISION OF POLYNOMIALS
- Chapter 12.3: THE REMAINDER THEOREM AND THE FACTOR THEOREM
- Chapter 12.4: THE FUNDAMENTAL THEOREM OF ALGEBRA
- Chapter 12.5: RATIONAL AND IRRATIONAL ROOTS
- Chapter 12.6: CONJUGATE ROOTS AND DESCARTESS RULE OF SIGNS
- Chapter 12.7: INTRODUCTION TO PARTIAL FRACTIONS
- Chapter 12.8: MORE ABOUT PARTIAL FRACTIONS
- Chapter 13: Additional Topics in Algebra
- Chapter 13.1: MATHEMATICAL INDUCTION
- Chapter 13.2: THE BINOMIAL THEOREM
- Chapter 13.3: INTRODUCTION TO SEQUENCES AND SERIES
- Chapter 13.4: ARITHMETIC SEQUENCES AND SERIES
- Chapter 13.5: GEOMETRIC SEQUENCES AND SERIES
- Chapter 13.6: DEMOIVRES THEOREM
- Chapter 2: Equations and Inequalities
- Chapter 2.1: QUADRATIC EQUATIONS: THEORY AND EXAMPLES
- Chapter 2.2: OTHER TYPES OF EQUATIONS
- Chapter 2.3: INEQUALITIES
- Chapter 2.4: MORE ON INEQUALITIES
- Chapter 3: Functions
- Chapter 3.1: THE DEFINITION OF A FUNCTION
- Chapter 3.2: THE GRAPH OF A FUNCTION
- Chapter 3.3: SHAPES OF GRAPHS. AVERAGE RATE OF CHANGE
- Chapter 3.4: TECHNIQUES IN GRAPHING
- Chapter 3.5: METHODS OF COMBINING FUNCTIONS. ITERATION
- Chapter 3.6: INVERSE FUNCTIONS
- Chapter 4: Polynimoial and Rational Functions.Applications to Optimization
- Chapter 4.1: LINEAR FUNCTIONS
- Chapter 4.2: QUADRATIC FUNCTIONS
- Chapter 4.3: USING ITERATION TO MODEL POPULATION GROWTH (Optional Section)
- Chapter 4.4: SETTING UP EQUATIONS THAT DEFINE FUNCTIONS
- Chapter 4.5: MAXIMUM AND MINIMUM PROBLEMS
- Chapter 4.6: POLYNOMIAL FUNCTIONS
- Chapter 4.7: RATIONAL FUNCTIONS
- Chapter 5: Exponential and Logarithmic Functions
- Chapter 5.1: EXPONENTIAL FUNCTIONS
- Chapter 5.2: THE EXPONENTIAL FUNCTION y ex
- Chapter 5.3: LOGARITHMIC FUNCTIONS
- Chapter 5.4: PROPERTIES OF LOGARITHMS
- Chapter 5.5: EQUATIONS AND INEQUALITIES WITH LOGS AND EXPONENTS
- Chapter 5.6: COMPOUND INTEREST
- Chapter 5.7: EXPONENTIAL GROWTH AND DECAY
- Chapter 6: The Trigonometric Functions
- Chapter 6.1: RADIAN MEASURE
- Chapter 6.2: TRIGONOMETRIC FUNCTIONS OF ANGLES
- Chapter 6.3: EVALUATING THE TRIGONOMETRIC FUNCTIONS
- Chapter 6.4: ALGEBRA AND THE TRIGONOMETRIC FUNCTIONS
- Chapter 6.5: RIGHT-TRIANGLE TRIGONOMETRY
- Chapter 7: Graphs of the Trigonometric Functions
- Chapter 7.1: TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS
- Chapter 7.2: GRAPHS OF THE SINE AND COSINE FUNCTIONS
- Chapter 7.3: GRAPHS OF y A sin(Bx C) AND y A cos(Bx C)
- Chapter 7.4: SIMPLE HARMONIC MOTION
- Chapter 7.5: GRAPHS OF THE TANGENT AND THE RECIPROCAL FUNCTIONS
- Chapter 8: Analytical Trigonometry
- Chapter 8.1: THE ADDITION FORMULAS
- Chapter 8.2: THE DOUBLE-ANGLE FORMULAS
- Chapter 8.3: THE PRODUCT-TO-SUM AND SUM-TO-PRODUCT FORMULAS
- Chapter 8.4: TRIGONOMETRIC EQUATIONS
- Chapter 8.5: THE INVERSE TRIGONOMETRIC FUNCTIONS
- Chapter 9: Additional Topics In Trigonometry
- Chapter 9.1: RIGHT-TRIANGLE APPLICATIONS
- Chapter 9.2: THE LAW OF SINES AND THE LAW OF COSINES
- Chapter 9.3: VECTORS IN THE PLANE: A GEOMETRIC APPROACH
- Chapter 9.4: VECTORS IN THE PLANE: AN ALGEBRAIC APPROACH
- Chapter 9.5: PARAMETRIC EQUATIONS
- Chapter 9.6: INTRODUCTION TO POLAR COORDINATES
- Chapter 9.7: CURVES IN POLAR COORDINATES
Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) 4th Edition - Solutions by Chapter
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition
Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition - Solutions by ChapterGet Full Solutions
Two angles having the same initial side and the same terminal side
The factor Ae-a in an equation such as y = Ae-at cos bt
a(b + c) = ab + ac and related properties
Vectors with the same magnitude and direction.
A variable that affects a response variable.
Focal length of a parabola
The directed distance from the vertex to the focus.
See Ellipse, Hyperbola, Parabola.
Reciprocal of the period of a sinusoid.
The amount of time required for half of a radioactive substance to decay.
NINT (ƒ(x), x, a, b)
A calculator approximation to ?ab ƒ(x)dx
For a basic trigonometric function f, an identity relating f(x) to f(-x).
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.
Angle generated by a counterclockwise rotation.
A variable (in statistics) that takes on numerical values for a characteristic being measured.
tan ?= sin ?cos ?and cot ?= cos ? sin ?
Any number that can be written as a decimal.
Resolving a vector
Finding the horizontal and vertical components of a vector.
Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true
A set of points in Cartesian space equally distant from a fixed point called the center.