Polar Representation of a Complex Number

With the modulus and argument of a complex number and the representation of the complex number in the argand plane, we have a new form of representation of the complex number, called the polar form of a complex number. The complex number z = a + ib, can be represented in polar form as z = r(Cosθ + iSinθ).  Here r is the modulus (r = \sqrt{a^2 + n^2}\), and θ is the argument of the complex number(θ = Tan−1baTan−1ba).