Trigonometry

Hardcover | January 18, 2010

byJohn Coburn, J.D. (John) Herdlick

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Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts. Written in a readable, yet mathematically mature manner appropriate for college level students, Coburn’s Trigonometry uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburn’s hallmark applications are born out of the author’s extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area. Benefiting from the feedback of hundreds of instructors and students across the country, Trigonometry, Second Edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in trigonometry.

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Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text en...

Format:HardcoverDimensions:11.2 × 8.6 × 1.1 inPublished:January 18, 2010Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0077349970

ISBN - 13:9780077349974

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Table of Contents

Coburn and Herdlick

Trigonometry, 2e

Chapter 1: Introduction to Trigonometry

1.1Angle Measure and Special Triangles

1.2Properties of Triangles; Similar Triangles

Mid-Chapter Check

RBC: More on Special Triangles

1.3Trigonometry: A View from the Coordinate Plane

1.4Fundamental Identities and Families of Identities

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery: The Range of Sine, Cosine, and Tangent

SCS: Creating New Identities

Chapter 2: Right Triangles & Static Trigonometry

2.1A Right Triangle View of Trigonometry

2.2Solving Right Triangles

Mid-Chapter Check

RBC: The Area of a Triangle

2.3Applications of Static Trigonometry

2.4Extending Beyond Acute Angles

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery: Solving Triangles

SCS: Standard Angles, Reference Angles, and the Trig Functions

Cumulative Review 1 - 2

Chapter 3: Radian Measure & Dynamic Trigonometry

3.1Angle Measure in Radians

3.2Arc Lengths, Velocities, and the Area of a Circular Sector

Mid-Chapter Check

RBC: More on Radians

3.3The Unit Circle

3.4The Trigonometry of Real Numbers

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery: Signs, Quadrants and Reference Arcs

SCS: Trigonometry of the Real Numbers and the Wrapping Function

Cumulative Review 1 - 3

Chapter 4: Trigonometric Graphs and Models

4.1Graphs of Sine and Cosine Functions

4.2Graphs of Cosecant, Secant, Tangent and Cotangent Functions

Mid-Chapter Check

RBC: Trigonometric Potpourri

4.3 Transformations of Trigonometric Graphs

4.4Trigonometric Applications and Models

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS

Cumulative Review 1 - 4

Modeling With Technology: Trigonometric Equation Models

Chapter 5: Trigonometric Identities

5.1More on Verifying Identities

5.2The Sum and Difference Identities

Mid-Chapter Check RBC: Understanding Identities

5.3The Double Angle and Half Angle Identities

5.4The Product-to-Sum and Sum-to-Product Identities

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS

Cumulative Review 1 - 5

Chapter 6: Inverse Functions and Trigonometric Equations

6.1One-to-One and Inverse Functions

6.2Inverse Trigonometric Functions and their Applications

Mid -Chapter Check

RBC: More on Equation Solving

6.3Solving Basic Trigonometric Equations

6.4General Trigonometric Equations and Applications

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS: Trigonometric Equations and Inequalities

Cumulative Review 1 - 6

Chapter 7: Applications of Trigonometry

7.1Oblique Triangles and the Law of Sines

7.2The Law of Cosines; the Area of a Triangle

Mid -Chapter Check

RBC

7.3Vectors and Vector Diagrams

7.4Vectors Applications and the Dot Product

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS

Cumulative Review 1 - 7

Chapter 8: Trigonometric Connections to Algebra

8.1Complex Numbers

8.2Complex Numbers in Trigonometric Form

8.3Demoivre's Theorem and the nth Roots Theorem

Mid-Chapter Check

RBC

8.4Polar Coordinates and Equations

8.5Graphs of Polar Equations

8.6Parametric Equations and Graphs

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS

Cumulative Review 1 - 8

Appendices

A.1Exponential and Logarithmic Functions

A.2 Review and Technology

.Miscellaneous Algebra Review

.Transformations of Basic Graphs

.Solving Equations Graphically

.Regression and Calculator Use

.Families of Polar Graphs