- 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
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ISBN: 9780534402303
Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CD-ROM) (Available 2010 Titles Enhanced Web Assign) | 4th Edition - Solutions by Chapter
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Key Calculus Terms and definitions covered in this textbook
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Acute triangle
A triangle in which all angles measure less than 90°
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Bearing
Measure of the clockwise angle that the line of travel makes with due north
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Binomial
A polynomial with exactly two terms
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Branches
The two separate curves that make up a hyperbola
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Chord of a conic
A line segment with endpoints on the conic
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Cosecant
The function y = csc x
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Cotangent
The function y = cot x
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Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
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Law of sines
sin A a = sin B b = sin C c
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Measure of spread
A measure that tells how widely distributed data are.
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Odd function
A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).
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Open interval
An interval that does not include its endpoints.
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Perihelion
The closest point to the Sun in a planet’s orbit.
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Permutations of n objects taken r at a time
There are nPr = n!1n - r2! such permutations
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Product of complex numbers
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
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Projection of u onto v
The vector projv u = au # vƒvƒb2v
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Reflection through the origin
x, y and (-x,-y) are reflections of each other through the origin.
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Rose curve
A graph of a polar equation or r = a cos nu.
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Translation
See Horizontal translation, Vertical translation.
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Trigonometric form of a complex number
r(cos ? + i sin ?)