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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ABCD absolutely convergent algebra angle approximately Argand Diagram calculated centroid CHAPTER circle centre circumcircle circumradius coefﬁcient complex numbers corresponding cos2 cos6 cosec cosec 26 cosine curve cyclic quadrilateral deduce deﬁned deﬁnition denoted Differentiate equal Evaluate EXERCISE VIII expansion Express factors ﬁgures Find the sum ﬁnd the values ﬁrst ﬁxed formula geometrical given Hence hyperbolic functions inscribed integer integer or zero isin LBAC length logarithms logx method MISCELLANEOUS EXAMPLES EXERCISE multiple nine-point circle notation obtained partial fractions perpendicular points which represent polynomial positive integer power series principal value projection Prove that lim radius real numbers regular polygon relation represent the complex result rough graph satisﬁed sec2 sides sin2 sin6 sinx solution Solve sum to inﬁnity tan2 Theorem triangle ABC write