Question

What are the polar form and rectangular form?

Answer 1

Rectangular form:

• The rectangular form of a complex number is $z=x+iy$

Where $x$ is a real part, $y$ is an imaginary part and $i=\sqrt{-1}$

Polar form:

• A complex number is expressed in terms of an angle and its distance from the origin.
• The polar form of a complex number is $z=r\left(\cos \theta +i\sin \theta \right)$

Where $r=\sqrt{x^2+y^2}$ and $\theta ={\tan }^{-1}\left(\frac{y}{x}\right)$