Easy Way Series: E-Z Trigonometry

Editor/Author Downing, Douglas
Publication Year: 2010
Publisher: Barron's Educational Series

Price: Core Collection Only
ISBN: 978-0-76-414251-2
Category: Mathematics & Statistics - Mathematics
Book Status: Available

E-Z Trigonometry explains angles and triangles, and demonstrates the solutions to right triangle problems.

This book is found in the following Credo Collections:

• Acknowledgments
• Introduction
• 1. Angles and Triangles
• The Rainstorm
• Measuring Angles
• The Raging River Flood
• Triangles to the Rescue
• Complete Guide to Triangles
• Notes to Chapter 1
• Exercises
• 2. Solving Right Triangle Problems
• The Height of the Tree
• Calculating Heights with Similar Triangles
• The New Ski Jump
• The Shifting Star
• The Distance to the Star
• Notes to Chapter 2
• Exercises
• 3. Trigonometric Functions: sin, cos, and tan
• Too Many Triangles
• The Gremlin's Vile Threat
• The Holiday Lighting Display
• 30-60-90 Triangles
• The Sine Ratio
• The Tangent Ratio
• Functions
• Definition of Trigonometric Functions
• Notes to Chapter 3
• Exercises
• 4. Applications of Trigonometric Functions
• The Balloon Ride
• Velocity Vectors
• Component Vectors
• * The Off-Course River Boat
• * The Message-Delivering System
• * The Distance of Travel of the Capsule
• * The Slippery Slope
• * Friction
• * The Maximum Angle of Tilt
• * The Merry-Go-Round Streamers
• * Centrifugal Force
• Note to Chapter 4
• Exercises
• Recordis Writes Out the Table
• sin 90°
• sin 0°
• The Attack of the Killer Bees
• Measuring Rotations
• The Special Number π
• Coterminal Angles
• The Shifting Sun
• The Radius of the Earth
• Trigonometric Functions
• Cofunctions
• Cotangent Function
• Reciprocal Functions
• The Secant and Cosecant Functions
• Notes to Chapter 5
• Exercises
• 6. Trigonometric Identities
• Pythagorean Identities
• Double-Angle Rules
• Trigonometric Identities
• Note to Chapter 6
• Exercises
• 7. Law of Cosines and Law of Sines
• The Triangle with the Unknown Parts
• Law of Cosines
• Law of Sines
• Exercises
• 8. Graphs of Trigonometric Functions
• The Bouncing Wagon
• The Periodic Function
• The Graph of the Sine Function
• The Graph of the Cosine Function
• Graphs of the Tangent and Cotangent Functions
• Graphs of the Secant and Cosecant Functions
• Alternating Current
• Amplitude
• Frequency
• Phase
• Solving an Equation with a Graphing Calculator
• Exercises
• 9. Waves
• * The Waves on the Lake
• * Wavelength
• * Harmonic Waves
• * Sound Waves
• * Adding Sine Functions of Different Frequencies
• * Standing Waves in Guitar Strings
• * Music
• The Threat of the Terrible Flood
• Note to Chapter 9
• Exercises
• 10. Inverse Trigonometric Functions
• Pal's Pet Pigeons to the Rescue
• Inverse Functions
• The Arctan, Arcsin, and Arccos Functions
• Principal Values
• Graphs of Inverse Trigonometric Functions
• Exercises
• 11. Polar Coordinates
• The Pigeon Messenger Service
• Rectangular Coordinates
• Polar Coordinates
• Equations in Polar Coordinates
• Exercises
• 12. Complex Numbers
• * The Imaginary Number i
• * Properties of Complex Numbers
• * Polar Coordinate Form of Complex Numbers
• * Multiplying Complex Numbers
• * Powers of Complex Numbers
• * Roots of Complex Numbers
• Notes to Chapter 12
• Exercises
• 13. Coordinate Rotation and Conic Sections
• * The Peaceful Bay Town-Planning Problem
• * Rotated Coordinate Systems
• * The New Improved Pigeon-Aiming System
• * Rotations in Polar Coordinates
• * Rotations in Rectangular Coordinates
• * The Two-Unknown Quadratic Equation
• * Circles
• * Ellipses
• * Parabolas
• * Hyperbolas
• * Conic Sections
• * Translation of Axes
• * The Pesky xy Term
• * The Perplexing Parabola with the Tilted Axis
• * The Rotated Equation
• * The Solution of a Second-Degree Two-Unknown Equation
• * The Graph of the Tilted Ellipse
• * The Discriminant
• Three-Dimensional Rotations and Virtual Reality
• Note to Chapter 13
• Exercises
• 14. Spherical Trigonometry
• * Mysterious Triangles and Riddles
• * Great Circles and Small Circles
• * Latitude and Longitude
• * Spherical Triangles
• * Spherical Right Triangles
• * Sailing Along the Shortest Course
• * Law of Sines and Law of Cosines
• * The Altitude of the Sun at the Beach
• * The Celestial Sphere
• * The Lost Assistant at the Unknown Latitude
• * Solving Spherical Triangles
• Notes to Chapter 14
• Exercises
• 15. Polynomial Approximation for sin x and cos x
• * The Quest for the Elusive Algebraic Expression
• * The Infinite-Degree Polynomial
• * The Factorial Function
• * Series Representation of sin x and cos x
• Exercises