Answer
$$8.3380 + 3.8881i$$
Work Step by Step
$$\eqalign{
& \left[ {4.6\left( {\cos 12^\circ + i\sin 12^\circ } \right)} \right]\left[ {2.0\left( {\cos 13^\circ + i\sin 13^\circ } \right)} \right] \cr
& {\text{Multiply use the product theorem}} \cr
& = \left( {4.6 \times 2.0} \right)\left[ {\cos \left( {12^\circ + 13^\circ } \right) + i\sin \left( {12^\circ + 13^\circ } \right)} \right] \cr
& = 9.2\left[ {\cos 25^\circ + i\sin 25^\circ } \right] \cr
& {\text{Use a calculator}} \cr
& \approx 8.3380 + 3.8881i \cr} $$
