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Trigonometry,9780077349974
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Trigonometry

by ;
Edition:
2nd
ISBN13:

9780077349974

ISBN10:
0077349970
Format:
Hardcover
Pub. Date:
1/18/2010
Publisher(s):
McGraw-Hill Science/Engineering/Math
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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

Introduction to Trigonometry
Angle Measure and Special Triangles
Properties of Triangles; Similar Triangles
Mid-Chapter Check
RBC: More on Special Triangles
Trigonometry: A View from the Coordinate Plane
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
Right Triangles & Static Trigonometry
A Right Triangle View of Trigonometry
Solving Right Triangles
Mid-Chapter Check
RBC: The Area of a Triangle
Applications of Static Trigonometry
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
Radian Measure & Dynamic Trigonometry
Angle Measure in Radians
Arc Lengths, Velocities, and the Area of a Circular Sector
Mid-Chapter Check
RBC: More on Radians
The Unit Circle
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
Trigonometric Graphs and Models
Graphs of Sine and Cosine Functions
Graphs of Cosecant, Secant, Tangent and Cotangent Functions
Mid-Chapter Check
RBC: Trigonometric Potpourri
Transformations of Trigonometric Graphs
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
Trigonometric Identities
More on Verifying Identities
The Sum and Difference Identities
Mid-Chapter Check RBC: Understanding Identities
The Double Angle and Half Angle Identities
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
Inverse Functions and Trigonometric Equations
One-to-One and Inverse Functions
Inverse Trigonometric Functions and their Applications
Mid -Chapter Check
RBC: More on Equation Solving
Solving Basic Trigonometric Equations
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
Applications of Trigonometry
Oblique Triangles and the Law of Sines
The Law of Cosines; the Area of a Triangle
Mid -Chapter Check
RBC
Vectors and Vector Diagrams
Vectors Applications and the Dot Product
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 - 7
Trigonometric Connections to Algebra
Complex Numbers
Complex Numbers in Trigonometric Form
Demoivre’s Theorem and the nth Roots Theorem
Mid-Chapter Check
RBC
Polar Coordinates and Equations
Graphs of Polar Equations
Parametric Equations and Graphs
Summary/Concept Rev, Mixed Rev, Practice Test
Calc Exploration and Discovery
SCS
Cumulative Review 1 - 8
Appendices
Exponential and Logarithmic Functions
Review and Technology
•Miscellaneous Algebra Review
•Transformations of Basic Graphs
•Solving Equations Graphically
•Regression and Calculator Use
•Families of Polar Graphs
Table of Contents provided by Publisher. All Rights Reserved.


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