Polar form of a complex numberBy admin / 25/02/2019 Table of Contents Toggle The polar coordinates of a P are (r,θ) where r is known as modulus and θ is the argument of a complex number Z.From above figure a = r cosθ b = r sinθor The plane is known as Argand plane or Argand Diagram or complex plane or Gaussian plane. The polar coordinates of a P are (r,θ) where r is known as modulus and θ is the argument of a complex number Z. From above figure a = r cosθ b = r sinθ or The plane is known as Argand plane or Argand Diagram or complex plane or Gaussian plane.