Trigonometry (2^nd Ed.)

Engineers trying to learn trigonometry may think they understand a concept but then are unable to apply that understanding when they attempt to complete exercises. This innovative book helps them overcome common barriers to learning the concepts and builds confidence in their ability to do mathematics. The second edition presents new sections on modeling at the end of each chapter as well as new material on Limits and Early Functions. Numerous Parallel Words and Math examples are included that provide more detailed annotations using everyday language. Your Turn exercises reinforce concepts and allow readers to see the connection between the problems and examples. Catch the Mistake exercises also enable them to review answers and find errors in the given solutions. This approach gives them the skills to understand and apply trigonometry.

CHAPTER 1 Right Triangle Trigonometry
1.1 Angles, Degrees and Triangles
1.2 Similar Triangles
1.3 Definition 1 of Trigonometric Functions: Right Triangle Ratios
1.4 Evaluating Trigonometric Functions: Exactly and with Calculators
1.5 Solving Right Triangles

CHAPTER 2 Trigonometric Functions
2.1 Angles in the Cartesian Plane
2.2 Definition 2 of Trigonometric Functions: Cartesian Plane
2.3 Trigonometric Functions of Non Acute Angles
2.4 Basic Trigonometric Identities

CHAPTER 3 Radian Measure and Circular Functions
3.1 Radian Measure
3.2 Arc Length and Area of a Circular Sector
3.3 Linear and Angular Velocities
3.4 Definition 3 of Trigonometric Functions: Circular Functions

CHAPTER 4 Graphing Trigonometric Functions
4.1 Basic Graphs of Sine and Cosine Functions: Amplitude and Period
4.2 Translations of the Sine and Cosine functions: Phase shift
4.3 Graphs of Tangent, Cotangent, Cosecant, and Secant Functions

CHAPTER 5 Trigonometric Identities
5.1 Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Sum and Difference Identities
5.4 Double and Half Angle Identities
5.5 Product and Sum Identities

CHAPTER 6 Solving Trigonometric Equations
6.1 Inverse Trigonometric Functions
6.2 Solving Basic Trigonometric Equations
6.3 Solving More Complicated Trigonometric Equations

CHAPTER 7 Applications of Trigonometric Functions and Vectors
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Area of a Triangle
7.4 Vectors
7.5 Dot Product

CHAPTER 8 Complex Numbers, Polar Coordinates, and Parametric Equations
8.1 Complex Numbers
8.2 Trigonometric (Polar) Form of Complex Numbers
8.3 Products, Quotients, Powers and Roots of Complex Numbers
8.4 Polar Equations and Graphs
8.5 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