How would you explain the multiplication problem solving in mathematically precise language? (Multiplication problem is in the image provided)
![How would you explain the multiplication problem solving in mathematically precise language Multiplication problem is in the image provided class=](https://us-static.z-dn.net/files/d9a/1bc90c225f1aba41aaf6b75ccbd4074f.png)
We need to find the product of z1 and z2, where
[tex]\begin{gathered} z_1=r_1(\cos \theta_1+i\sin \theta_1) \\ z_2=r_2(\cos \theta_2+i\sin \theta_2) \end{gathered}[/tex]At first, we will multiply r1 and r2
Then we will add Cita1 and Cita2
[tex]z_1z_2=(r_1r_2)\lbrack\cos (\theta_1+\theta_2)+i\sin (\theta_1+\theta_2)\rbrack[/tex]Then to multiply 2 complex numbers in the polar form
1. Multiply their magnitudes (r1, r2)
2. Add their angles (Cita1 and Cita2)