Advanced Trigonometry

This volume will provide a welcome resource for teachers seeking an undergraduate text on advanced trigonometry, when few are readily available. Ideal for self-study, this text offers a clear, logical presentation of topics and an extensive selection of problems with answers. Contents include the properties of the triangle and the quadrilateral; equations, sub-multiple angles, and inverse functions; hyperbolic, logarithmic, and exponential functions; and expansions in power-series. Further topics encompass the special hyperbolic functions; projection and finite series; complex numbers; de Moivre's theorem and its applications; one- and many-valued functions of a complex variable; and roots of equations. 1930 edition. 79 figures.;Cover; Title Page; Copyright Page; Preface; Contents; I. Properties of The Triangle; II. Properties of The Quadrilateral; III. Equations, Sub-Multiple Angles, Inverse Functions; IV. A Hyperbolic Function and Logarithmic and Exponential Functions; V. Expansions in Power-Series; VI. The Special Hyperbolic Functions; VII. Projection and Finite Series; VIII. Complex Numbers; IX. De Moivre's Theorem and Applications; X. One-Valued Functions of A Complex Variable; XI. Roots of Equations; XII. Factors; XIII. Many-Valued Functions of A Complex Variable; XIV. Miscellaneous Relations.