Respuesta :

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)

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