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.
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ahove ahsolutely convergent algehra angle Argand Diagram calculated centre centroid circle circle centre circumcircle circumradius coefficient complex numhers corresponding cos0 cos2 cos2a cosec cosec 20 cosn0 cot2 cyclic quadrilateral deduce denoted hy descrihes Differentiate equal equation Evaluate EXERCISE VIII expansion Express factors find the sum find the values formula geometrical given hy graphs heen hy putting inscrihed integer isin lies hetween logarithms method MISCELLANEOUS EXAMPLES EXERCISE multiple negative nine-point circle ohtained hy partial fractions pedal triangle points which represent positive integer principal value projection prove that log radius real numhers regular polygon represent the complex result roots rough graph satisfied hy sec2 sin0 sin2 sin2a sinn0 solution Solve sum to infinity tan2 variahle write zero