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Trigonometry: A Unit Circle Approach 11th edition [Kietas viršelis]

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  • Formatas: Hardback, 744 pages, aukštis x plotis x storis: 100x100x100 mm, weight: 100 g
  • Išleidimo metai: 12-Jun-2019
  • Leidėjas: Pearson
  • ISBN-10: 0135181135
  • ISBN-13: 9780135181133
Kitos knygos pagal šią temą:
Trigonometry: A Unit Circle Approach 11th editionDidesnis paveikslėlis
  • Formatas: Hardback, 744 pages, aukštis x plotis x storis: 100x100x100 mm, weight: 100 g
  • Išleidimo metai: 12-Jun-2019
  • Leidėjas: Pearson
  • ISBN-10: 0135181135
  • ISBN-13: 9780135181133
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780135181133.html
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For courses in Trigonometry.


Prepare. Practice. Review.

Michael Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The 11th Edition continues to evolve to meet the needs of today’s students.


This series prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of continuous preparation and retention – along with the high-quality exercises that Sullivan texts are known for – gives students the reinforcement they need. 


Also available with MyLab Math 

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. 


Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.


If you would like to purchase both the physical text and MyLab Math, search for:


0135240786 / 9780135240786 Trigonometry Plus MyLab Math with eText - Access Card Package

Package consists of:

  • 0135181135 / 9780135181133 Trigonometry: A Unit Circle Approach
  • 0135189713 / 9780135189719 MyLab Math with Pearson eText - Standalone Access Card - for Trigonometry: A Unit Circle Approach


Three Distinct Series xv
The Flagship Series xvi
Preface to the Instructor xvii
Get the Most Out of MyLab Math xxii
Resources for Success xxiii
Applications Index xxv
1 Graphs and Functions
1(100)
1.1 The Distance and Midpoint Formulas
2(7)
Use the Distance Formula
Use the Midpoint Formula
1.2 Graphs of Equations in Two Variables; Circles
9(15)
Graph Equations by Plotting Points
Find Intercepts from a Graph
Find Intercepts from an Equation
Test an Equation for Symmetry with Respect to the x-Axis, the y-Axis, and the Origin
Know How to Graph Key Equations
Write the Standard Form of the Equation of a Circle
Graph a Circle
Work with the General Form of the Equation of a Circle
1.3 Functions and Their Graphs
24(20)
Describe a Relation
Determine Whether a Relation Represents a Function
Use Function Notation; Find the Value of a Function
Find the Difference Quotient of a Function
Find the Domain of a Function Defined by an Equation
Identify the Graph of a Function
Obtain Information from or about the Graph of a Function
1.4 Properties of Functions
44(13)
Identify Even and Odd Functions from a Graph
Identify Even and Odd Functions from an Equation
Use a Graph to Determine Where a Function Is Increasing, Decreasing, or Constant
Use a Graph to Locate Local Maxima and Local Minima
Use a Graph to Locate the Absolute Maximum and the Absolute Minimum
Use a Graphing Utility to Approximate Local Maxima and Local Minima and to Determine Where a Function Is Increasing or Decreasing
Find the Average Rate of Change of a Function
1.5 Library of Functions; Piecewise-defined Functions
57(10)
Graph the Functions Listed in the Library of Functions
Analyze a Piecewise-defined Function
1.6 Graphing Techniques: Transformations
67(14)
Graph Functions Using Vertical and Horizontal Shifts
Graph Functions Using Compressions and Stretches
Graph Functions Using Reflections about the jc-Axis and the y-Axis
1.7 One-to-One Functions; Inverse Functions
81(20)
Determine Whether a Function Is One-to-One
Obtain the Graph of the Inverse Function from the Graph of a One-to-One Function
Verify an Inverse Function
Find the Inverse of a Function Defined by an Equation
Chapter Review
93(5)
Chapter Test
98(1)
Chapter Projects
99(2)
2 Trigonometric Functions
101(88)
2.1 Angles, Arc Length, and Circular Motion
102(13)
Angles and Degree Measure
Convert between Decimal and Degree, Minute, Second Measures for Angles
Find the Length of an Arc of a Circle
Convert from Degrees to Radians and from Radians to Degrees
Find the Area of a Sector of a Circle
Find the Linear Speed of an Object Traveling in Circular Motion
2.2 Trigonometric Functions: Unit Circle Approach
115(17)
Find the Exact Values of the Trigonometric Functions Using a Point on the Unit Circle
Find the Exact Values of the Trigonometric Functions of Quadrantal Angles
Find the Exact Values of the Trigonometric Functions of π/4 = 45°
Find the Exact Values of the Trigonometric Functions of π/6 = 30° and π/3 = 60°
Find the Exact Values of the Trigonometric Functions for Integer Multiples of π/6 = 30°, π/4 = 45°, and π/3 = 60°
Use a Calculator to Approximate the Value of a Trigonometric Function
Use a Circle of Radius r to Evaluate the Trigonometric Functions
2.3 Properties of the Trigonometric Functions
132(15)
Determine the Domain and the Range of the Trigonometric Functions
Determine the Period of the Trigonometric Functions
Determine the Signs of the Trigonometric Functions in a Given Quadrant
Find the Values of the Trigonometric Functions Using Fundamental Identities
Find the Exact Values of the Trigonometric Functions of an Angle Given One of the Functions and the Quadrant of the Angle
Use Even-Odd Properties to Find the Exact Values of the Trigonometric Functions
2.4 Graphs of the Sine and Cosine Functions
147(15)
Graph the Sine Function y = sinx and Functions of the Form y = A sin(ωx)
Graph the Cosine Function y = cosx and Functions of the Form y = A cos(ωx)
Determine the Amplitude and Period of Sinusoidal Functions
Graph Sinusoidal Functions Using Key Points
Find an Equation for a Sinusoidal Graph
2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
162(7)
Graph the Tangent Function y = tan* and the Cotangent Function y = cot*
Graph Functions of the Form y = A tan(ωx) + B and y = A cot(ωx) + B
Graph the Cosecant Function y = cscx and the Secant Function y = sec*
Graph Functions of the Form y = A csc(ωx) + B and y = A sec(ωx) + B
2.6 Phase Shift; Sinusoidal Curve Fitting
169(20)
Graph Sinusoidal Functions of the Form y = A sin (ωx -- π) + B
Build Sinusoidal Models from Data
Chapter Review
181(5)
Chapter Test
186(1)
Cumulative Review
187(1)
Chapter Projects
188(1)
3 Analytic Trigonometry
189(72)
3.1 The Inverse Sine, Cosine, and Tangent Functions
190(13)
Define the Inverse Sine Function
Find the Value of an Inverse Sine Function
Define the Inverse Cosine Function
Find the Value of an Inverse Cosine Function
Define the Inverse Tangent Function
Find the Value of an Inverse Tangent Function
Use Properties of Inverse Functions to Find Exact Values of Certain Composite Functions
Find the Inverse Function of a Trigonometric Function
Solve Equations Involving Inverse Trigonometric Functions
3.2 The Inverse Trigonometric Functions (Continued)
203(6)
Define the Inverse Secant, Cosecant, and Cotangent Functions
Find the Value of Inverse Secant, Cosecant, and Cotangent Functions
Find the Exact Value of Composite Functions Involving the Inverse Trigonometric Functions
Write a Trigonometric Expression as an Algebraic Expression
3.3 Trigonometric Equations
209(10)
Solve Equations Involving a Single Trigonometric Function
Solve Trigonometric Equations Using a Calculator
Solve Trigonometric Equations Quadratic in Form
Solve Trigonometric Equations Using Fundamental Identities
Solve Trigonometric Equations Using a Graphing Utility
3.4 Trigonometric Identities
219(8)
Use Algebra to Simplify Trigonometric Expressions
Establish Identities
3.5 Sum and Difference Formulas
227(13)
Use Sum and Difference Formulas to Find Exact Values
Use Sum and Difference Formulas to Establish Identities
Use Sum and Difference Formulas Involving Inverse Trigonometric Functions
Solve Trigonometric Equations Linear in Sine and Cosine
3.6 Double-angle and Half-angle Formulas
240(11)
Use Double-angle Formulas to Find Exact Values
Use Double-angle Formulas to Establish Identities
Use Half-angle Formulas to Find Exact Values
3.7 Product-to-Sum and Sum-to-Product Formulas
251(10)
Express Products as Sums
Express Sums as Products
Chapter Review
255(3)
Chapter Test
258(1)
Cumulative Review
259(1)
Chapter Projects
260(1)
4 Applications of Trigonometric Functions
261(54)
4.1 Right Triangle Trigonometry; Applications
262(13)
Find the Value of Trigonometric Functions of Acute Angles Using Right Triangles
Use the Complementary Angle Theorem
Solve Right Triangles
Solve Applied Problems
4.2 The Law of Sines
275(11)
Solve SAA or ASA Triangles
Solve SSA Triangles
Solve Applied Problems
4.3 The Law of Cosines
286(7)
Solve SAS Triangles
Solve SSS Triangles
Solve Applied Problems
4.4 Area of a Triangle
293(6)
Find the Area of SAS Triangles
Find the Area of SSS Triangles
4.5 Simple Harmonic Motion; Damped Motion; Combining Waves
299(16)
Build a Model for an Object in Simple Harmonic Motion
Analyze Simple Harmonic Motion
Analyze an Object in Damped Motion
Graph the Sum of Two Functions
Chapter Review
309(3)
Chapter Test
312(1)
Cumulative Review
313(1)
Chapter Projects
313(2)
5 Polar Coordinates; Vectors
315(77)
5.1 Polar Coordinates
316(9)
Plot Points Using Polar Coordinates
Convert from Polar Coordinates to Rectangular Coordinates
Convert from Rectangular Coordinates to Polar Coordinates
Transform Equations between Polar and Rectangular Forms
5.2 Polar Equations and Graphs
325(15)
Identify and Graph Polar Equations by Converting to Rectangular Equations
Test Polar Equations for Symmetry
Graph Polar Equations by Plotting Points
5.3 The Complex Plane; De Moivre's Theorem
340(9)
Plot Points in the Complex Plane
Convert a Complex Number between Rectangular Form and Polar Form or Exponential Form
Find Products and Quotients of Complex Numbers
Use De Moivre's Theorem
Find Complex Roots
5.4 Vectors
349(15)
Graph Vectors
Find a Position Vector
Add and Subtract Vectors Algebraically
Find a Scalar Multiple and the Magnitude of a Vector
Find a Unit Vector
Find a Vector from Its Direction and Magnitude
Model with Vectors
5.5 The Dot Product
364(7)
Find the Dot Product of Two Vectors
Find the Angle between Two Vectors
Determine Whether Two Vectors Are Parallel
Determine Whether Two Vectors Are Orthogonal
Decompose a Vector into Two Orthogonal Vectors
Compute Work
5.6 Vectors in Space
371(10)
Find the Distance between Two Points in Space
Find Position Vectors in Space
Perform Operations on Vectors
Find the Dot Product
Find the Angle between Two Vectors
Find the Direction Angles of a Vector
5.7 The Cross Product
381(11)
Find the Cross Product of Two Vectors
Know Algebraic Properties of the Cross Product
Know Geometric Properties of the Cross Product
Find a Vector Orthogonal to Two Given Vectors
Find the Area of a Parallelogram
Chapter Review
387(3)
Chapter Test
390(1)
Cumulative Review
391(1)
Chapter Projects
391(1)
6 Analytic Geometry
392(67)
6.1 Conies
393(1)
Know the Names of the Conies
6.2 The Parabola
394(9)
Analyze Parabolas with Vertex at the Origin
Analyze Parabolas with Vertex at (h, k)
Solve Applied Problems Involving Parabolas
6.3 The Ellipse
403(10)
Analyze Ellipses with Center at the Origin
Analyze Ellipses with Center at (h, k)
Solve Applied Problems Involving Ellipses
6.4 The Hyperbola
413(13)
Analyze Hyperbolas with Center at the Origin
Find the Asymptotes of a Hyperbola
Analyze Hyperbolas with Center at (h, k)
Solve Applied Problems Involving Hyperbolas
6.5 Rotation of Axes; General Form of a Conic
426(8)
Identify a Conic
Use a Rotation of Axes to Transform Equations
Analyze an Equation Using a Rotation of Axes
Identify Conies without Rotating the Axes
6.6 Polar Equations of Conies
434(7)
Analyze and Graph Polar Equations of Conies
Convert the Polar Equation of a Conic to a Rectangular Equation
6.7 Plane Curves and Parametric Equations
441(18)
Graph Parametric Equations
Find a Rectangular Equation for a Plane Curve Defined Parametrically
Use Time as a Parameter in Parametric Equations
Find Parametric Equations for Plane Curves Defined by Rectangular Equations
Chapter Review
454(2)
Chapter Test
456(1)
Cumulative Review
457(1)
Chapter Projects
457(2)
7 Exponential and Logarithmic Functions
459(1)
7.1 Exponential Functions
460(17)
Evaluate Exponential Functions
Graph Exponential Functions
Define the Number e
Solve Exponential Equations
7.2 Logarithmic Functions
477(13)
Change Exponential Statements to Logarithmic Statements and Logarithmic Statements to Exponential Statements
Evaluate Logarithmic Expressions
Determine the Domain of a Logarithmic Function
Graph Logarithmic Functions
Solve Logarithmic Equations
7.3 Properties of Logarithms
490(9)
Work with the Properties of Logarithms
Write a Logarithmic Expression as a Sum or Difference of Logarithms
Write a Logarithmic Expression as a Single Logarithm
Evaluate Logarithms Whose Base Is Neither 10 Nor e
7.4 Logarithmic and Exponential Equations
499(7)
Solve Logarithmic Equations
Solve Exponential Equations
Solve Logarithmic and Exponential Equations Using a Graphing Utility
7.5 Financial Models
506(10)
Determine the Future Value of a Lump Sum of Money
Calculate Effective Rates of Return
Determine the Present Value of a Lump Sum of Money
Determine the Rate of Interest or the Time Required to Double a Lump Sum of Money
7.6 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
516(11)
Model Populations That Obey the Law of Uninhibited Growth
Model Populations That Obey the Law of Uninhibited Decay
Use Newton's Law of Cooling
Use Logistic Models
7.7 Building Exponential, Logarithmic, and Logistic Models from Data
527(7)
Build an Exponential Model from Data
Build a Logarithmic Model from Data
Build a Logistic Model from Data
Chapter Review
534(4)
Chapter Test
538(1)
Cumulative Review
538(1)
Chapter Projects
539
Appendix A Review
1(1)
A.1 Algebra Essentials
1(13)
Work with Sets
Graph Inequalities
Find Distance on the Real Number Line
Evaluate Algebraic Expressions
Determine the Domain of a Variable
Use the Laws of Exponents
Evaluate Square Roots
Use a Calculator to Evaluate Exponents
A.2 Geometry Essentials
14(8)
Use the Pythagorean Theorem and Its Converse
Know Geometry Formulas
Understand Congruent Triangles and Similar Triangles
A.3 Factoring Polynomials; Completing the Square
22(5)
Know Formulas for Special Products
Factor Polynomials
Complete the Square
A.4 Solving Equations
27(10)
Solve Equations by Factoring
Solve Equations Involving Absolute Value
Solve a Quadratic Equation by Factoring
Solve a Quadratic Equation by Completing the Square
Solve a Quadratic Equation Using the Quadratic Formula
A.5 Complex Numbers; Quadratic Equations in the Complex Number System
37(8)
Add, Subtract, Multiply, and Divide Complex Numbers
Solve Quadratic Equations in the Complex Number System
A.6 Interval Notation; Solving Inequalities
45(11)
Use Interval Notation
Use Properties of Inequalities
Solve Inequalities
Solve Combined Inequalities
Solve Inequalities Involving Absolute Value
A.7 Nth Roots; Rational Exponents
56(8)
Work with nth Roots
Simplify Radicals
Rationalize Denominators and Numerators
Solve Radical Equations
Simplify Expressions with Rational Exponents
A.8 Lines
64
Calculate and Interpret the Slope of a Line
Graph Lines Given a Point and the Slope
Find the Equation of a Vertical Line
Use the Point-Slope Form of a Line; Identify Horizontal Lines
Use the Slope-Intercept Form of a Line
Find the Equation of a Line Given Two Points
Graph Lines Written in General Form Using Intercepts
Find Equations of Parallel Lines
Find Equations of Perpendicular Lines
Appendix B Graphing Utilities
1(1)
B.1 The Viewing Rectangle
1(2)
B.2 Using a Graphing Utility to Graph Equations
3(2)
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
5(1)
B.4 Using a Graphing Utility to Solve Equations
6(2)
B.5 Square Screens
8(1)
B.6 Using a Graphing Utility to Graph Inequalities
9(1)
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
9(2)
B.8 Using a Graphing Utility to Graph a Polar Equation
11(1)
B.9 Using a Graphing Utility to Graph Parametric Equations
11
Answers 1(1)
Photo Credits 1(1)
Subject Index 1
Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicagos South Side and currently resides in Oak Lawn, Illinois. Mike has four children; the two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son, Mike Sullivan, III, co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than ten books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where Mike enjoys gardening.

 

Mike Sullivan, III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.