Algebra Series - Concepts and Formulas™
Graphical Interpretation of Complex Numbers, Calculations of Roots (ALG-CF21)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas fully covering graphical interpretation of complex numbers and the calculations of roots, explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet anticipates and answers questions about how to use the concepts - how to solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• The Complex (Argand) plane
• The real and imaginary axes
• Standard form of a complex number
• Rectangular (Cartesian) form of a complex number
• The Modulus of a complex number
• Argand diagrams
• Graphical addition and subtraction of complex numbers
• The Triangle method of combining complex numbers
• The Polygon method of combining complex numbers
• Trigonometric form of a complex number
• The Argument of a complex number
• Polar form of a complex number
• How to multiply complex numbers in trigonometric form
• How to divide complex numbers in trigonometric form
• De Moivre's theorem
• How to calculate nth roots of complex numbers