Trigonometry: Functions and Applications

by Paul A. Foerster

Book Overview

No Synopsis Available.

• Format: Hardcover
• Language: English
• ISBN: 0201251094
• ISBN13: 9780201251098
• Release Date: January 1990
• Publisher: Addison-Wesley Publishing
• Length: 463 Pages
• Weight: 1.80 lbs.

Customer Reviews

An Easy-to-Understand Introduction to Trigonometry w/selected answers

Contents Include: Chapter 1: TRIGONOMETRIC FUNCTIONS 1-1 Review of Functions 1-2 Mathematical Models and Periodic Functions 1-3 Measurement of Rotation 1-4 Definition of the Trigonometric Functions 1-5 Approximate Values of the Trigonometric Functions 1-6 Right Triangle Problems Chapter 2: APPLICATIONS OF TRIGONOMETRIC AND CIRCULAR FUNCTIONS 2-1 Introduction to Sine and Cosine Graphs 2-2 Sinusoids -- Amplitude and Period 2-3 Sinusoids -- Phase Shift and Vertical Shift 2-4 General Sinusoidal Graphs 2-5 Radian Measure of Angles 2-6 Circular Functions and Inverses 2-7 Graphs of Circular Function Sinusoids 2-8 Sinusoids by Computer Graphics 2-9 Graphs of Tangent, Cotangent, Secant, and Cosecant Functions 2-10 General Inverse Sine and Cosine Relations 2-11 Evaluation of Sinusoidal Functions 2-12 Sinusoidal Functions as Mathematical Models Chapter 3: PROPERTIES OF TRIGONOMETRIC AND CIRCULAR FUNCTIONS 3-1 Three Properties of Trigonometric Functions 3-2 Trigonometric Identities and Equations 3-3 Properties Involving Functions of More than One Argument 3-4 Multiple Argument Properties 3-5 Half-Argument Properties 3-6 Sum and Product Properties 3-7 Linear Combination of Cosine and Sine with Equal Arguments 3-8 Simplification of Trigonometric Expressions 3-9 General Trigonometric Expressions Chapter 4: COMPOSITION OF ORDINATES, ROTARY MOTION, AND INVERSE FUNCTIONS 4-1 Composition of Ordinates 4-2 Composition of Ordinates by Computer Graphics 4-3 Properties Verified by Computer Graphing 4-4 Angular Velocity 4-5 Inverse Circular Function Graphs 4-6 Exact Values of Inverse Functions 4-7 Properites of Inverse Circular Functions 4-8 Real World Applications on Inverse Circular Functions Chapter 5: TRIANGLE PROBLEMS 5-1 Right Triangle Review 5-2 Oblique Triangles -- Law of Cosines 5-3 Area of a Triangle 5-4 Oblique Triangles -- Law of Sines 5-5 The Ambiguous Case 5-6 General Solution of Triangles 5-7 Vectors 5-8 Vectors -- Resolution into Components 5-9 Real-World Triangle Problems Chapter 6: MATHEMATICAL APPLICATIONS OF TRIGONOMETRIC AND CIRCULAR FUNCTIONS 6-1 Polar Coordinates 6-2 Polar Graphs by Computer 6-3 Polar-Cartesian Transformations 6-4 Systems of Polar Equations 6-5 Imaginary and Complex Numbers 6-6 Complex Numbers in Polar Form 6-7 Complex Numbers for Vectors 6-8 Introduction to Power Series 6-9 Taylor Series for Sine, Cosine, and Exponential Functions Tables I - Trigonometric Functions and Degrees-to-Radians II - Circular Functions and Radians-to-Degrees includes some answers to selected problems