Argument of product and quotient for JEE

Formula

\(\arg(z_1z_2)=\arg z_1+\arg z_2\pmod{2\pi},\quad \arg\left(\dfrac{z_1}{z_2}\right)=\arg z_1-\arg z_2\pmod{2\pi}\)

Variables: \(z_1,z_2\in\mathbb C\setminus\{0\}\)

Polar form operations.