Advanced trigonometry

This volume provides a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this text offers a clear, logical presentation of topics such as the properties of the triangle and the quadrilateral; sub-multiple angles and inverse functions; hyperbolic, logarithmic, and exponential functions; much more.

Originally published: London : G. Bell and Sons, Ltd., 1930.

Includes index.

Chapter I. Properties of the Triangle -- Methods of solution -- Circumcentre, incentre, orthocentre, nine-point centre, polar circle -- Centroid -- Distance between special points -- Errors -- Chapter II. Properties of the Quadrilateral -- Cyclic quadrilateral -- General quadrilateral -- Circumscribable quadrilateral -- Chapter III. Equations, Sub-Multiple Angles, Inverse Functions -- General solutions -- Sub-multiple angles -- Inverse functions -- Chapter IV. A Hyperbolic Function and Logarithmic and Exponential Functions -- Area-function for rect. hyperbola -- Differentiation -- Addition theorem -- Properties of log x and e[superscript x] -- Useful inequalities -- Euler's constant -- Chapter V. Expansions in Power-Series -- Convergence -- Expansions of sin x and cos x -- Expansion of log (1 + x) -- Expansion of tan[superscript -1]x -- Evaluation of [pi] -- Expansion of e[superscript x] -- [characters not reproducible](1 + x/n)[superscript n] -- Chapter VI. The Special Hyperbolic Functions -- Definitions, sh x, ch x, th x -- Formulae -- Calculus applications -- sh[superscript -1]x, ch[superscript -1]x, th[superscript -1]x -- Chapter VII. Projection and Finite Series -- Projection…