An Introduction to Euler's Treat and the Basic Trigonometric Identities

Given that trigonometry is part of all high school mathematics curriculum world wide, leaning about Euler's Treat and becoming proficient in its application to problems in mathematics, physics and engineering is a fine investment of perhaps an hour of your time.
Anyone who has mastered middle school algebra and a little high school mathematics can master both this book and Euler's Treat. You don't even need to know Calculus, this little book with its appendices explains all you need to know to understand its content.
In this little book, Volume One: The New Mathematics for the Millions, Euler's Treat is presented from the standpoint of algebra and not geometry, as it sometimes is. There are several questions included with this book meant to challenge the reader.
In this Second Edition of this Volume, one of the appendices was moved up into the body of the book and a section about Damped Oscillators has been added. The full implication of the three possible types of damped oscillations will be presented in another book in the Mathematics for the Millions Series.