The Complete Idiot's Guide to Trigonometry

Izolda Fotiyeva
Dmitriy Fotiyev 


ALPHA | 2012 | 385 páginas | RAR - PDF | 5,12 Mb

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Contents

Part 1: The Basic Tools.. 1
1 What Is Trigonometry?...3

2 Geometry Tools Needed to Study Trigonometry...9
3 Algebra Tools Needed to Study Trigonometry....23

Part 2: Triangle Trigonometry..... 37
4 Trigonometric Functions and Right Triangles..... 39
5 Relations Among Trigonometric Ratios......55
6 The Law of Sines.... 71
7 The Law of Cosines.....85

Part 3: Trigonometric Functions and the Unit Circle...... 101
8 Angles and Rotations....103
9 The Unit Circle Approach...... 121
10 Trigonometric Functions of Any Angle... 133

Part 4: Graphs of Trigonometric Functions.. 145
11 Graphs of Sine and Cosine Functions.... 147
12 Graphs of Other Trigonometric Functions... 163
13 Graphs of Inverse Trigonometric Functions.... 179

Part 5: Trigonometric Identities and Equations...193
14 Kaleidoscope of Identities...195
15 Verifying Trigonometric Identities..205
16 Solving Trigonometric Equations... 217
17 Sum and Difference Formulas... 227

18 Double-Angle and Power-Reducing Formulas... 239
19 Half-Angle and Product-to-Sum Formulas.........249

Part 6: Polar Coordinates and Complex Numbers..........259
20 Polar Coordinates.......261

21 Complex Numbers and Operations with Them.... 275
22 Trigonometry and Calculators......291