Trigonometry for Engineering Technology With Mechanical, Civil, and Architectural Applications
-
- Englisch ausgewählt
Fr. 101.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
07.09.2012
Verlag
Industrial PressSeitenzahl
250
Maße (L/B/H)
26.9/20.6/2.3 cm
Gewicht
771 g
Sprache
Englisch
ISBN
978-0-8311-3454-9
Gary Powers has taught a wide range of classes for more than 15 years at South Hills School of Business and Technology, a two-year, post-secondary school located in State College, PA., including Geometry, Trigonometry, Physics, Dimensional Metrology, Machining, CNC Programming, and Mechanical Design. His students regularly serve internships with and are hired by a variety of engineering and manufacturing firms. Previously, Gary was employed for 16 years by Corning, Inc. as a manufacturing supervisor and process engineer. He holds a B.S. in Aerospace Engineering from the U.S. Naval Academy, and after graduating from the Naval Nuclear Power School he served in the submarine force. Gary is a member of the American Society of Engineering Education. Contents
Chapter 1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
Why Is Trigonometry Important?
1
Types of Trigonometry
1
Examples of Applications
2
Chapter 2
Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5
Introduction
5
What Is an Angle?
5
Angular Units
6
Formats for Expressing Degrees
7
Naming Angles
8
Measuring Angles
10
Using Your Calculator
12
Entering and Converting Degrees with the TI-30XA
13
Entering and Converting Degrees with the TI-30XIIS
14
Adding and Subtracting Angles
17
Chapter 3
Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
21
Right Triangles
21
Other Types of Triangles
22
The Sum of Interior Angles
23
Pythagorean Theorem
26
Chapter 4
Preparation for Right Angle Trigonometry . . . . . . . . . .
31
Similar Triangles
31
Corresponding Sides
32
Proportional Sides
35
Naming Sides in a Right Triangle
39
Chapters 2–4, Practice Worksheet . . . . . . . . . . . . . . . . .
41
Chapter 5
Functions of Trigonometry . . . . . . . . . . . . . . . . . . . . . . .
47
Sine Function
47
Cosine Funtion
48
Tangent Function
51
Function Practice
53
Summary of Trigonometry Functions
55
Other Trigonometric Functions
55
Chapter 6
Solving for Unknown Sides . . . . . . . . . . . . . . . . . . . . . . .
57
b
Introduction
57
Solving for an Unknown Side
58
Create an Equation to Solve for an Unknown Side
59
Solving for an Unknown Side
61
Trigonometry Functions in Your Calculator
62
Positive and Negataive Trigonometry Values
63
Alternate Solution to Solving for an Unknown Side
65
Cofunctions
66
Complete the Solution
67
Practice in Solving for Unknown Sides
68
Chapter 7
Solving for Unknown Angles . . . . . . . . . . . . . . . . . . . . . .
73
Introduction
73
Solving for an Unknown Angle
74
Create an Equation to Solve for an Unknown Angle
75
Inverse Trigonometry Functions in Your Calculator
77
How to Avoid Rounding an Intermediate Calculation
78
Errors Caused by Intermediate Rounding
78
Complete the Solution
79
Problem Solving Steps
80
Naming Conventions for Inverse Functions
80
Practice in Solving for Unknown Angles
81
Chapter 6-7, Practice Worksheet
85
Chapter 8
Mechanical Applications . . . . . . . . . . . . . . . . . . . . . . . . .
89
Mechanical Technology Applications
89
Drill Point Depth
90
Angularity Measurement with a Sine Bar
92
Drill Depth for Engraving
95
Identify X and Y Locations on a Part
97
Hole Locations on a Bolt-Hole Circle
99
V-Block Inspection
102
Dovetail Slide Inspection
105
Tapers
107
Practice Worksheet
109
Chapter 9
Civil Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
113
Civil Technology Applications
113
Horizontal Distance and Slope Angle
114
The Height of a Structure
117
Distance across an Obstruction
119
Northing and Easting of a Survey Point
122
Bearing Format for Directions
126
Slope Angle and Grade
128
Contour Lines
129
Practice Worksheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
132
Chapter 10
Architectural and Construction Applications . . . . . . . .
137
Architectural and Construction Applications
137
Roof Pitch
138
Roof Truss Dimensions
140
3-4-5 Triangles
144
Stair Dimensions
147
Practice Worksheet for Chapter 10 . . . . . . . . . . . . . . . . . . .
150
Chapter 11
Graphing Trigonometry Functions. . . . . . . . . . . . . . . . .
157
Mechanical Waves
158
Radian Units
165
Rotational Motion
166
Sound Waves
169
Alternating Current
171
Graph of Cosine Function
174
Noch keine Bewertungen vorhanden
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.