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Arg z = π/4

Arg z = π/4
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2015-03-21 20:49
Complex NumberGeometric ConstructionLocus
This example demonstrates the locus of complex number z when its argument equals π/4. The key mathematical concept involved is the argument of a complex number. Using the Angle and If commands, the locus of z is constructed. Suitable for high school mathematics education, particularly in the complex number section.

GeoGebra Commands & Parameters

  1. Angle(Vector[(1, 0)], Vector[z]) → α
  2. If(abs(α - 0.79) < 0.1, 0, 1) → b

AI Drawing Prompt Reference

Draw a complex number z with an argument of π/4. First, create a unit vector (1,0), then calculate the angle α between this vector and z. Use an if statement to select points where the difference between α and π/4 is less than 0.1, which represents the locus of z.
The prompt above was compiled from the original drawing commands and is for reference only.