Polar Form

Summary

showing complex numbers as a point on an argand diagram allows further properties to be found.

the modulus, izi, of a complex number is the length of the line which joins it to the origin.

the argument (θ) of a complex number is the angle formed at the origin between the positive x-axis and the line which indicates the modulus. this angle is measured in radians, and is usually given for values between -π < θ ≤ π.the argument of a complex number z is written arg(z)

Key Skills

  • write complex numbers given in rectangular form in polar form
  • write complex numbers given in polar form in rectangular form

Vocabulary

polar formcomplex numbersargand diagrammodulusargument,radians.