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Master Math: Pre-Calculus and Geometry

By Debra Ross

Copyright © 1996 by Debra Anne Ross

All rights reserved under the Pan-American and International Copyright Conventions. This book maynot be reproduced, in whole or in part, in any form or by any means electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system now known orhereafter invented, without written permission from the publisher, The Career Press.

MASTER MATH: PRE-CALCULUS AND GEOMETRY ISBN 1-56414-218-3 Cover design by The Visual Group Printed in the U.S.A. byBook-mart Press

Library of Congress Cataloging-in-Publication Data

Ross, Debra Anne, 1958Master math: pre-calculus and geometry / by Debra Anne Ross. p. cm. Includes index. ISBN 1-56414-218-3(pbk.) 1. Geometry. 2. Trigonometry. I. Title. QA445.R585 1996 515'.1--dc20 96-22994 CIP

Acknowledgments

I am indebted to Dr. Melanie McNeil, Professor of Chemical Engineering at San Jose StateUniversity, for reviewing this text for accuracy.

Table of Contents

Introduction

1

Chapter 1 Geometry

3

1.1. Lines and Angles

4

1.2. Polygons

10

1.3. Triangles

13

1.4.Quadrilaterals (Four Sided Polygons)

18

1.5. Circles

22

1.6. Perimeter and Area of Planar Two-Dimensional Shapes

29

1.7. Volume and Surface Area of Three-Dimensional Objects

341.8. Vectors

40

Chapter 2 Trigonometry

43

2.1. Introduction

43

2.2. General Trigonometric Functions

44

2.3. Addition, Subtraction and Multiplication of Two Angles 2.4.Oblique Triangles

52

53

2.5. Graphs of Cosine, Sine, Tangent, Secant, Cosecant and Cotangent

54

2.6. Relationship Between Trigonometric and Exponential Functions

58

2.7. HyperbolicFunctions

60

Chapter 3 Sets and Functions

62

3.1. Sets

62

3.2. Functions

65

Chapter 4 Sequences, Progressions and Series

70

4.1. Sequences

70

4.2. Arithmetic...
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