Trigonometry
著者
書誌事項
Trigonometry
john Wiley & Sons, c2007
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注記
Includes indexes
内容説明・目次
内容説明
Often, trigonometry students leave class believing that they understand a concept but are unable to apply that understanding when they get home and attempt their homework problems. This mainstream yet innovative text is written by an experienced professor who has identified this gap as one of the biggest challenges that trigonometry professors face. She uses a clear voice that speaks directly to students - similar to how instructors communicate to them in class. Students learning from this text will overcome common barriers to learning trigonometry and will build confidence in their ability to do mathematics.
目次
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. Vectors. 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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