PREFACE In preparing this text in trigonometry the author has con-stantly kept in mind (1) the student, (2) the subject matter, and (3) the teacher. THE STUDENT The aim has been to present trigonometry to the student in such a way as to make it interesting and understandable. The following features are designed to enlist his interest and arouse his desire to pursue the course: 1. The book aims to create in the student an early appreciation of the value of trigonometry and to set him thinking about its significance. The practical applications are emphasized in order to make the student familiar with the important role which trigonometry plays in modern civilization. Special effort is made to lead him to see the purpose of studying each new topic. The material is related to the mathematics which the student has had and to the subjects which he may take up in the future. 2. The approach to the whole subject and to the various topics is primarily psychological, but with due regard to the logical development. Care has been taken to arrange the material in such a way as not to discourage the student by introducing difficult topics too early in the course, or by presenting more than one type of difficulty at a time. General suggestions are offered to help the student to understand the principles and their uses. The purpose is to stimulate the student to depend more upon himself and less upon the teacher. 3. The book gives a historical View of the growth of trigonometry. The first chapter contains a brief historical sketch of the subject as a whole, tracing the notable periods in its development and noting the contributions of the great makers of the science as we have it at present. Throughout the book many historical references are introduced in a natural way with the topic under discussion, making the subject more human and attractive.