# Trigonometry Enhanced with Graphing Utilities, 1st edition

• Michael Sullivan

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## Overview

This book uses the graphing utility to enhance the study of mathematics. Technology is used as a tool to solve problems, motivate concepts, and explore mathematical ideas. Trigonometry Enhanced with Graphing Utilities provides clear and focused coverage. Many of the problems are solved using both algebra and a graphing utility, and the text illustrates the advantages and benefits of each approach. Technology is used to solve problems when no algebraic solution is available and to help students visualize certain concepts.

1. Functions and Graphs.

Rectangular Coordinates; Graphing Utilities. Graphs of Equations. The Straight Line; Circles. Functions. More about Functions. Graphing Techniques. One- to-One Functions; Inverse Functions.

2. Trigonometric Functions.

Angles and Their Measure. Trigonometric Functions; Unit Circle Approach. Properties of the Trigonometric Functions. Right Triangle Trigonometry. Graphs of the Trigonometric Functions. The Inverse Trigonometric Functions.

3. Analytic Trigonometry.

Trigonometric Identities. Sum and Difference Formulas. Double-angle and Half-angle Formulas. Product-to-Sum and Sum-to-Product Formulas. Trigonometric Equations.

4. Applications of Trigonometric Functions.

Solving Right Triangles. The Law of Sines. The Law of Cosines. The Area of a Triangle. Sinusoidal Graphs; Simple Harmonic Motion. Damped Vibrations.

5. Polar Coordinates; Vectors.

Polar Coordinates. Polar Equations and Graphs. The Complex Plan; Demoivre's Theorem. Vectors. The Dot Product.

6. 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.

7. Exponential and Logarithmic Functions.

Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decayi. Nonlinear Curve Fitting. Logarithmic Scales.

Appendix.

Topics from Algebra and Geometry. Solving Equations. Completing the Square. Complex Numbers. Linear Curve Fitting.