CONTENTS 



CHAPTER I 



FAGS 



Resolution of a Quadratic Expression into Factors . . 1 



Partial Fractions .... ... 2 



Binomial Theorem ....... 5 



Approximations . 9 



Exponential and Logarithmic Series . ... 13 



CHAPTER II 



Solution of Triangles .... ... 19 



Angles greater than 90 23 



Compound Angles 28 



The Expression a sin + b cos 6 ; the Equation a sin 



6 sin 6- c .30 



Multiple Angles 33 



CHAPTER III 



Complex Quantities, and the Powers of i . . .38 

 Trigonometrical Form of a Complex Quantity ... 41 

 De Moivre's Theorem 42 



CHAPTER IV 



Graphical Representation of a Complex Quantity . . 48 



a bi and =-. operating on sin pt . 50 

 a bi 



Hyperbolic Functions 57 



