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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...
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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