Triangle Functions: A Beginner's Guide

Author: Masashi Sakae
Publisher:
Publish Date: 2005-02-01
Features: This series starts from the basics, following a step-by-step approach to explain fundamental scientific principles and the latest scientific knowledge in an easy-to-understand manner. It emphasizes the cultivation of learning methods and interest. Approach it with questions from your daily life—no need to memorize theorems or rigidly recall formulas. It becomes less tedious and confusing, allowing you to effortlessly enter the fascinating, colorful world of science. To flexibly apply trigonometric functions, it is essential to have a solid understanding of related knowledge such as differentiation, integration, and complex numbers. However, adhering to the principle of "Super Beginner," all the knowledge points covered in this book do not exceed the scope of high school mathematics, with many of them reviewing junior high school concepts. In short, the goal is to lower the entry barrier to suit every beginner. In fact, this book is based on the author's lecture notes from their high school teaching experience. High school mathematics, especially from a practical perspective, rarely involves real-world problems. However, trigonometric ratios are an exception—they are always connected to specific issues, frequently applied in practical tasks like land surveying. Thus, the author places trigonometric ratios in the section. In the second part, "Trigonometric Functions," there are many very similar formulas, which often makes students develop a dislike for mathematics from this point onward. Therefore, this part of the book focuses on the derivation process of formulas rather than rote memorization. Through learning this book, readers will not only master the formulas related to trigonometric ratios and trigonometric functions but also genuinely feel their practicality. Additionally, the book introduces many outstanding mathematicians from ancient and modern times.