9780077457303

Loose Leaf Trigonometry

by ;
  • ISBN13:

    9780077457303

  • ISBN10:

    0077457307

  • Edition: 2nd
  • Format: Loose-leaf
  • Copyright: 6/9/2010
  • Publisher: McGraw-Hill Education

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Summary

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.

Table of Contents

Coburn and Herdlick

Trigonometry, 2e

Chapter 1: Introduction to Trigonometry

1.1 Angle Measure and Special Triangles

1.2 Properties of Triangles; Similar Triangles

Mid-Chapter Check

RBC: More on Special Triangles

1.3 Trigonometry: A View from the Coordinate Plane

1.4 Fundamental 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

2.1 A Right Triangle View of Trigonometry

2.2 Solving Right Triangles

Mid-Chapter Check

RBC: The Area of a Triangle

2.3 Applications of Static Trigonometry

2.4 Extending 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

3.1 Angle Measure in Radians

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

Mid-Chapter Check

RBC: More on Radians

3.3 The Unit Circle

3.4 The 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

4.1 Graphs of Sine and Cosine Functions

4.2 Graphs of Cosecant, Secant, Tangent and Cotangent Functions

Mid-Chapter Check

RBC: Trigonometric Potpourri

4.3 Transformations of Trigonometric Graphs

4.4 Trigonometric 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

5.1 More on Verifying Identities

5.2 The Sum and Difference Identities

Mid-Chapter Check RBC: Understanding Identities

5.3 The Double Angle and Half Angle Identities

5.4 The 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

6.1 One-to-One and Inverse Functions

6.2 Inverse Trigonometric Functions and their Applications

Mid -Chapter Check

RBC: More on Equation Solving

6.3 Solving Basic Trigonometric Equations

6.4 General 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

7.1 Oblique Triangles and the Law of Sines

7.2 The Law of Cosines; the Area of a Triangle

Mid -Chapter Check

RBC

7.3 Vectors and Vector Diagrams

7.4 Vectors 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

8.1 Complex Numbers

8.2 Complex Numbers in Trigonometric Form

8.3 Demoivre’s Theorem and the nth Roots Theorem

Mid-Chapter Check

RBC

8.4 Polar Coordinates and Equations

8.5 Graphs of Polar Equations

8.6 Parametric Equations and Graphs

Summary/Concept Rev, Mixed Rev, Practice Test

Calc Exploration and Discovery

SCS

Cumulative Review 1 – 8

Appendices

A.1 Exponential 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

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