Plane trigonometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Wiley
1968
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 282 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Niles, Nathan O. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Plane trigonometry |c Nathan O. Niles |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York u.a. |b Wiley |c 1968 | |
| 300 | |a XV, 282 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Trigonométrie plane | |
| 650 | 4 | |a Plane trigonometry | |
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Datensatz im Suchindex
| _version_ | 1804123068447064064 |
|---|---|
| adam_text | CONTENTS
Chapter 1 Fundamental Concepts 1
1.1. Introduction. 1.2. Directed lines. 1.3. The rectangular co¬
ordinate system. 1.4. The generation of positive and negative
angles. 1.5. Radian measure. 1.6. The standard position of an
angle. 1.7. Functions.
Chapter 2 Trigonometric Functions (Angles) 21
2.1. Definition of the trigonometric functions of any angle.
2.2. Signs of the trigonometric functions. 2.3. Given one trig¬
onometric function, to determine the others. 2.4. Exact values
of the trigonometric functions at 30°, 45°, and 60°. 2.5. Trig¬
onometric functions at quadrantal angles. 2.6. Trigonometric
functions of positive acute angles. 2.7. Values of the trigono¬
metric functions of any angle. 2.8. Trigonometric functions of
( 6).
Chapter 3 The Right Triangle 51
3.1. Introduction. 3.2. Trigonometric functions of an acute
angle of a right triangle. 3.3. Significant figures. 3.4 A. Solu¬
tion of right triangles—arithmetic. 3.4 B. Slide rule solution
of the right triangle. 3.5. Elementary applications.
Chapter 4 Trigonometric Functions (Real Numbers) 75
4.1. Introduction. 4.2. The unit circle. 4.3. Trigonometric
functions of real numbers. 4.4. Real numbers and directed
angles. 4.5. Values of the trigonometric functions of any real
number.
xiii
xiv CONTENTS
Chapter 5 Fundamental Identities 93
5.1. Introduction. 5.2. Eight fundamental identities. 5.3. Ele¬
mentary identities. 5.4. Trigonometric elimination of param¬
eters.
Chapter 6 Variations and Graphs of the
Trigonometric Functions 107
6.1. Variation of sin Gand cost). 6.2. The graph of y = sin x.
6.3. The graph of y = a sin (fax + a). 6.4. The graph of y =
cos i. 6.5. Variation of tangent 8. 6.6. Graphs of tan x, cot x,
and esc x.
Chapter 7 Trigonometric Functions (Composite
Arguments) 125
7.1. Introduction. 7.2. The cosine of the difference and sum of
two angles. 7.3. Addition formulas for the sine and tangent
functions. 7.4. Trigonometric functions of the double argu¬
ment. 7.5. Trigonometric functions of the half argument.
7.6. Product and sum formulas. 7.7. Summary. 7.8. Miscella¬
neous identities.
Chapter 8 Logarithms 149
8.1. Logarithms. 8.2. Log tables. 8.3. Logarithmic computa¬
tion. 8.4. Logarithmic solution of right triangles. 8.5. Change
of base, exponential and logarithmic equations.
Chapter 9 Oblique Triangles 165
9.1. Introduction. 9.2. The Law of Sines. 9.3. Application of
the Law of Sines. 9.4. The Law of Cosines. 9.5. Application
of the Law of Cosines.
Chapter 10 Inverse Trigonometric Functions 189
10.1. Inverse functions. 10.2. Inverse trigonometric functions.
10.3. Relations involving inverse trigonometric functions.
10.4. Graphs of the inverse trigonometric functions.
Chapter 11 Trigonometric Equations 201
11.1. Introduction. 11.2. Equations involving simple algebraic
operations. 11.3. Equations involving trigonometric reductions.
11.4. Equations of the form a sin () + b cos O = c.
CONTENTS xv
Chapter 12 Vectors and Complex Numbers 209
12.1. Vectors. 12.2. Complex numbers. 12.3. Polar form of
complex numbers. 12.4. Multiplication, integral powers, and
division of complex numbers. 12.5. Roots of complex numbers.
Appendix 233
A.I. The mil. A.2. The Law of Tangents. A.3. Tangents of the
half angles. A.4. Sets.
Tables 243
Answers to Exercises 265
Index 279
|
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| dewey-full | 514/.5 |
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| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV008728626 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:23:53Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005758865 |
| oclc_num | 280 |
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| owner_facet | DE-824 |
| physical | XV, 282 S. graph. Darst. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Wiley |
| record_format | marc |
| spelling | Niles, Nathan O. Verfasser aut Plane trigonometry Nathan O. Niles 2. ed. New York u.a. Wiley 1968 XV, 282 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Trigonométrie plane Plane trigonometry HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005758865&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Niles, Nathan O. Plane trigonometry Trigonométrie plane Plane trigonometry |
| title | Plane trigonometry |
| title_auth | Plane trigonometry |
| title_exact_search | Plane trigonometry |
| title_full | Plane trigonometry Nathan O. Niles |
| title_fullStr | Plane trigonometry Nathan O. Niles |
| title_full_unstemmed | Plane trigonometry Nathan O. Niles |
| title_short | Plane trigonometry |
| title_sort | plane trigonometry |
| topic | Trigonométrie plane Plane trigonometry |
| topic_facet | Trigonométrie plane Plane trigonometry |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005758865&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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