Trigonometry by Michael Corral
Trigonometry - Table of Contents
CHAPTER 1: RIGHT TRIANGLE TRIGONOMETRY
- 1.1 Angles
- 1.2 Trigonometric Functions of an Acute Angle
- 1.3 Applications and Solving Right Triangles
- 1.4 Trigonometric Functions of Any Angle
- 1.5 Rotations and Reflections of Angles
CHAPTER 2: GENERAL TRIANGLES
- 2.1 The Law of Sines
- 2.2 The Law of Cosines
- 2.3 The Law of Tangents
- 2.4 The Area of a Triangle
- 2.5 Circumscribed and Inscribed Circles
CHAPTER 3: IDENTITIES
- 3.1 Basic Trigonometric Identities
- 3.2 Sum and Difference Formulas
- 3.3 Double-Angle and Half-Angle Formulas
- 3.4 Other Identities
CHAPTER 4: RADIAN MEASURE
- 4.1 Radians and Degrees
- 4.2 Arc Length
- 4.3 Area of a Sector
- 4.4 Circular Motion: Linear and Angular Speed
CHAPTER 5: GRAPHING AND INVERSE FUNCTIONS
- 5.1 Graphing the Trigonometric Functions
- 5.2 Properties of Graphs of Trigonometric Functions
- 5.3 Inverse Trigonometric Functions
CHAPTER 6: ADDITIONAL TOPICS
- 6.1 Solving Trigonometric Equations
- 6.2 Numerical Methods in Trigonometry
- 6.3 Complex Numbers
- 6.4 Polar Coordinates
APPENDICES
- Appendix A: Answers and Hints to Selected Exercises
- Appendix B: Graphing with Gnuplot
What You Will Learn in Trigonometry
Trigonometry by Michael Corral is an authoritative, open-access textbook designed for high school students, college undergraduates, and self-learners in pure and applied mathematics. Serving as an essential open study guide, this volume provides a rigorous mathematical framework for trigonometric ratios and geometric problem solving practice.
The textbook systematically covers right triangle trigonometry, general angles, radian measure, trigonometric functions, identities, law of sines, law of cosines, vectors, polar coordinates, and complex numbers. By combining clear geometric explanations with over 500 graded practice problems and solutions, Corral enables readers to execute complex trigonometric calculations and proofs with confidence.
Treasured globally by educators and students for its accessible tone and thorough treatment of foundational concepts, this modern text serves as an outstanding self-study guide. Corral’s clear pedagogical structure equips learners with vital mathematical tools required for mastering modern trigonometric and geometric principles.
Book Details & Specifications
Title:
Trigonometry by Michael Corral
Publisher:
mecmath.net
Year:
2009
Pages:
174
Type:
PDF
Language:
English
ISBN-10 #:
1475074573
ISBN-13 #:
978-1475074574
License:
GNU
Amazon:
Amazon
About the Author: Michael Corral
The author Michael Corral
is an experienced educator and author known for creating high-quality open educational resource (OER) textbooks in elementary mathematics and calculus.
His open-access works stand as authoritative trigonometry, geometry, and calculus preparation study guides.
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