Trignometry Notes

Topics: Angle, Triangle, Trigonometry Pages: 283 (36796 words) Published: January 18, 2013
Notes from Trigonometry
Steven Butler
c 2001 - 2003

Contents
DISCLAIMER

vii

Preface
1 The
1.1
1.2
1.3
1.4

viii
usefulness of mathematics
What can I learn from math? .
Problem solving techniques . . .
The ultimate in problem solving
Take a break . . . . . . . . . .

2 Geometric foundations
2.1 What’s special about triangles?
2.2 Some definitions on angles . . .
2.3 Symbols in mathematics . . . .
2.4 Isoceles triangles . . . . . . . .
2.5 Right triangles . . . . . . . . .
2.6 Angle sum in triangles . . . . .
2.7 Supplemental problems . . . . .
3 The
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8

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5
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Pythagorean theorem
The Pythagorean theorem . . . . . . . . . . . . . .
The Pythagorean theorem and dissection . . . . . .
Scaling . . . . . . . . . . . . . . . . . . . . . . . . .
The Pythagorean theorem and scaling . . . . . . .
Cavalieri’s principle . . . . . . . . . . . . . . . . . .
The Pythagorean theorem and Cavalieri’s principle
The beginning of measurement . . . . . . . . . . . .
Supplemental problems . . . . . . . . . . . . . . . .

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