The Maths TailorPast-paper stats

STEPComplex NumbersRank #56·Type T

Find a locus of $w = f (z)$ by substituting $z = x + i y$ or by tracking modulus and argument

At a glance

3

Occurrences

questions

3

Years

3

Papers

3

Worked

100%

When this method shows up

Years in which at least one question on this paper triggers the method.

Other top methods in Complex Numbers

Rotation as multiplication: encode equilateral triangles and right angles by a fixed unimodular factor×5
Half-angle factorisation: split $e^{i β} - e^{i α}$ into modulus $2 sin \frac{β - α}{2}$ and argument $\frac{α + β}{2} + \frac{π}{2}$ ×4
Modulus inequalities: bound a sum below or above to force existence or impossibility×3
Pin down a complex root through its symmetric functions and the conjugate-root reflex×3
Roots of unity: factor $z^{n} - 1 = \prod (z - ω^{k})$ and feed in a clever value of $z$ ×2

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