This exercise addresses the division of two complex numbers. It is divided in two parts. In the first, numbers are written in the Cartesian form and in the second in the polar form.

In the Cartesian form

Consider two complex numbers in the Cartesian form:

x_1 = \alpha_1 + j\beta_1

x_2 = \alpha_2 + j\beta_2

Fill the boxes with the values of the real and the imaginary parts of each complex number.

\alpha_1 =        \beta_1 =        \alpha_2 =        \beta_2 =

In the polar form

Consider two complex numbers in the polar form:

x_1 = r_1.e^{j\omega_1}

x_2 = r_2.e^{j\omega_2}

Fill the boxes with the values of the radius and the phase of the complex numbers.

r_1 =       \omega_1 =        r_2 =        \omega_2 =