Answer to Question #96510 in Complex Analysis for Olajide Olaitan

Question

Given that (z_1=r_1(cos∅_1+isin∅_1 and (z_2=r_2(cos∅_2+isin∅_2) evaluate (z_1z_2)

Answer 1

$z_1*z_2 = r_ 1 (cos θ_ 1 + j sin θ_ 1 ) \displaystyle\times{r}_{{2}}{\left( \cos{\ }\theta_{{2}}+{j}\ \sin{\ }\theta_{{2}}\right)} ) = r_ 1 r_ 2 ​ (cos[θ_ 1 ​ +θ_ 2 ] \displaystyle{\left.+{j}\ \sin{{\left[\theta_{{1}}+\theta_{{2}}\right]}}\right)} ])$ is the final answer.