So far, we have written complex numbers in the rectangular form : z = a + bi.
They can also be expressed in an equivalent polar form : z = R(cosθ + i sinθ), where R is the modulus and θ is the argument.
This can further be expressed in an equivalent exponential form : z = Reiθ, the relationship between the polar form and exponential form is given by Euler's Formula.
Use the applet below to explore the polar form of complex numbers.