Trigonometry

by Sullivan, Michael

• ISBN13: 9780130953933
• ISBN10: 0130953938
• Edition: 5th
• Format: Hardcover
• Copyright: 1998-12-01
• Publisher: Pearson College Div

Summary

For undergraduate courses in College Algebra, Algebra and Trigonometry, Trigonometry, and Precalculus. A proven motivator for students of diverse mathematical backgrounds, this text explores mathematics within the context of real-life, using understandable, realistic applications consistent with the abilities of any student. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. The use of a graphing calculator is optional.

Table of Contents

Graphs and Functions

The Distance and Midpoint Formulas

Graphs of Equations; Circles

Functions and Their Graph

Properties of Functions

Library of Functions; Piecewise-defined Functions

Graphing Techniques: Transformations

One-to-One Functions; Inverse Functions Chapter Review Chapter Test Cumulative Review Chapter Projects

Trigonometric Functions

Angles and Their Measure

Trigonometric Functions: Unit Circle Approach

Properties of the Trigonometric Functions

Graphs of the Sine and Cosine Functions

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Cumulative Review Chapter Projects

Analytic Trigonometry

The Inverse Sine, Cosine, and Tangent Functions

The Inverse Trigonometric Functions (continued)

Trigonometric Identities

Sum and Difference Formulas

Double-Angle and Half-Angle Formulas

Product-to-Sum and Sum-to-Product Formulas

Trigonometric Equations (I)

Trigonometric Equations (II) Chapter Review Chapter Test Cumulative Review Chapter Projects

Applications of Trigonometric Functions

Applications Involving Right Triangles

Law of Sines

Law of Cosines

Area of a Triangle

Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Cumulative Review Chapter Projects

Polar Coordinates; Vectors

Polar Coordinates

Polar Equations and Graphs

The Complex Plane; DeMoivres Theorem

Vectors

The Dot Product

Vectors in Space

The Cross Product Chapter Review Chapter Test Cumulative Review Chapter Projects

Analytic Geometry

Conics

The Parabola

The Ellipse

The Hyperbola

Rotation of Axes; General Form of a Conic

Polar Equations of Conics

Plane Curves and Parametric Equations Chapter Review Chapter Test Cumulative Review Chapter Projects

Exponential and Logarithmic Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Logarithmic and Exponential Equations

Compound Interest

Exponential Growth and Decay Models; Newtons Law; Logistic Growth and Decay Models

Building Exponential, Logarithmic, and Logistic Functions from Data Chapter Review Chapter Test Cumulative Review Chapter Projects

Review

Algebra Essentials

Geometry Essentials

Factoring Polynomials

Solving Equations

Complex Numbers; Quadratic Equations in the Complex Number System

Interval Notation; Solving Inequalities

nth Roots; Rational Exponents; Radical Equations

Lines

Building Linear Functions from Data

Graphing Utilities

The Viewing Rectangle

Using a Graphing Utility to Graph Equations

Using a Graphing Utility to Locate Intercepts and Check for Symmetry

Using a Graphing Utility to Solve Equations

Square Screens

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