Trigonometry, Student Solutions Manual / Edition 2

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Cynthia Young's 3rd Edition of Trigonometry focuses on revisions and additions including hundreds of new exercises, more opportunities to use technology, and themed modeling projects that help connect content to real-world issues. The text builds upon the previous two editions with more in-depth and enhanced coverage on ways to help overcome common learning barriers in trigonometry and build confidence for readers. The text features truly unique, strong pedagogy and as with the previous two issues, is written in a clear, single voice.

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Product Details

  • ISBN-13: 9780470433829
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 9/8/2009
  • Edition description: Student
  • Edition number: 2
  • Pages: 528
  • Product dimensions: 7.70 (w) x 9.80 (h) x 1.10 (d)

Meet the Author

Cynthia Young received her BA in Math Education from UNC in 1990, has two masters, one in Mathematical Sciences from UCF in 1993 and a second in Electrical Engineering from the University of Washington in 1997. Finally, she received a PhD in Applied Mathematics from the University of Washington in 1996. She is already a tenured professor at UCF and is very actively involved in the supervision of UCF's graduate and undergraduate research assistants. Before becoming an award-winning Associate Professor at UCF, Cynthia taught High School. Cynthia received numerous grants and was named the principal investigator on six military and academic research projects. She has been an administrator/advisor to the Florida Space Institute at the Kennedy Space Center since 1998. Cynthia is a veteran presenter at conferences and conventions and has published over a dozen journal articles. In addition, she has been a contributor to several texts, including a College Algebra workbook for McGraw-Hill. Lastly, she edited the Marcel Decker's Optical Engineering Encyclopedia.
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Table of Contents

CHAPTER 1.  Right Triangle Trigonometry.

Angles, Degrees and Triangles.
Similar Triangles.
Definition 1 of Trigonometric Functions: Right Triangle Ratios.
Evaluating Trigonometric Functions: Exactly and with Calculators.
Solving Right Triangles.

CHAPTER 2.  Trigonometric Functions.

Angles in the Cartesian Plane.
Definition 2 of Trigonometric Functions: Cartesian Plane.
Trigonometric Functions of Non-Acute Angles.
Basic Trigonometric Identities.

CHAPTER 3.  Radian Measure and Circular Functions.

Radian Measure.
Arc Length and Area of a Circular Sector.
Linear and Angular Velocities.
Definition 3 of Trigonometric Functions: Circular Functions.

CHAPTER 4.  Graphing Trigonometric Functions.

Basic Graphs of Sine and Cosine Functions: Amplitude and Period.
Translations of the Sine and Cosine functions: Phase shift.
Graphs of Tangent, Cotangent, Cosecant, and Secant Functions.

CHAPTER 5.  Trigonometric Identities.

Fundamental Identities.
Verifying Trigonometric Identities.
Sum and Difference Identities.
Double and Half Angle Identities.
Product and Sum Identities.

CHAPTER 6.  Solving Trigonometric Equations.

Inverse Trigonometric Functions.
Solving Basic Trigonometric Equations.
Solving More Complicated Trigonometric Equations.

CHAPTER 7.  Applications of Trigonometric Functions and Vectors.

The Law of Sines.
The Law of Cosines.
Area of a Triangle.
Dot Product.

CHAPTER 8.  Complex Numbers, Polar Coordinates, and Parametric Equations.

Complex Numbers.
Trigonometric (Polar) Form of Complex Numbers.
Products, Quotients, Powers and Roots of Complex Numbers.
Polar Equations and Graphs.
Parametric Equations and Graphs.

APPENDIX.  Algebraic Prerequisites and Review.

A.1 Cartesian Plane.
A.2 Graphing Equations: Point Plotting and Symmetry.
A.3 Functions.
A.4 Graphs of Functions: Common Functions, Transformations, and Symmetry.
A.5 Operation on Functions and Composition of Functions.
A.6  One-to-One Functions and Inverse Functions.
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