Overview

1. 25. June Revision: Complex Numbers [2021]

Revision begins on our Secrets Enclosed for Complex Numbers! We recapped the core skills for the two main categories of Complex Numbers - Cartesian Form & Modulus/Argument form. Questions involving Cartesian form are mostly grouped into Simultaneous Equations & Polynomials operations. While the ideas are basic, there are many specifics and good habits which we revised - recall the proper process for Simultaneous Equations (obtain a single variable first!) and be mindful of when we can apply Complex Conjugates Theorem (are the coefficients real?). Modulus/Argument (or Polar) forms can have a very wide range of questions. Nonetheless, we make sure that our basics are sound, especially in finding the argument of a complex number (did you check its quadrant?). The common types that we went through include: 1) Modulus/Argument Properties (algebraic vs logarithmic) 2) Sketching on an Argand Diagram (angles & lengths vs coordinates) 3) Purely Real/Imaginary (can you generate the argument for each type?) and of course, the very specific half-angle operation. Do build up your Secrets Enclosed into a one-stop resource to recap all of the core skillsets :)
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