Trigonometry, 5th edition

  • Mark Dugopolski

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Trigonometry with Integrated Review helps you develop the problem solving, critical thinking, and confidence you need to succeed in trigonometry class and beyond.

Published by Pearson (July 15th 2020) - Copyright © 2020

ISBN-13: 9780136880820

Subject: Precalculus, College Algebra & Trigonometry

Category: Trigonometry

Table of contents

P. Algebraic Prerequisites
P.1 The Cartesian Coordinate System
P.2 Functions
P.3 Families of Functions, Transformations, and Symmetry
P.4 Compositions and Inverses

1. Angles and the Trigonometric Functions
1.1 Angles and Degree Measure
1.2 Radian Measure, Arc Length, and Area
1.3 Angular and Linear Velocity
1.4 The Trigonometric Functions
1.5 Right Triangle Trigonometry
1.6 The Fundamental Identity and Reference Angles

2. Graphs of the Trigonometric Functions
2.1 The Unit Circle and Graphing
2.2 The General Sine Wave
2.3 Graphs of the Secant and Cosecant Functions
2.4 Graphs of the Tangent and Cotangent Functions
2.5 Combining Functions

3. Trigonometric Identities
3.1 Basic Identities
3.2 Verifying Identities
3.3 Sum and Difference Identities for Cosine
3.4 Sum and Difference Identities for Sine and Tangent
3.5 Double-Angle and Half-Angle Identities
3.6 Product and Sum Identities

4. Solving Conditional Trigonometric Equations
4.1 The Inverse Trigonometric Functions
4.2 Basic Sine, Cosine, and Tangent Equations
4.3 Equations Involving Compositions
4.4 Trigonometric Equations of Quadratic Type

5. Applications of Trigonometry
5.1 The Law of Sines
5.2 The Law of Cosines
5.3 Area of a Triangle
5.4 Vectors
5.5 Applications of Vectors

6. Complex Numbers, Polar Coordinates, and Parametric Equations
6.1 Complex Numbers
6.2 Trigonometric Form of Complex Numbers
6.3 Powers of Roots of Complex Numbers
6.4 Polar Equations
6.5 Parametric Equations
New - 6.6 Fun with Polar and Parametric Equations

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