Answer
$$30.8580 + 18.5414i$$
Work Step by Step
$$\eqalign{
& \left( {12\operatorname{cis} 18.5^\circ } \right)\left( {3\operatorname{cis} 12.5^\circ } \right) \cr
& {\text{Multiply use the product theorem}} \cr
& = 12 \times 3\operatorname{cis} \left( {18.5^\circ + 12.5^\circ } \right) \cr
& = 36\operatorname{cis} \left( {31^\circ } \right) \cr
& {\text{Write in trigonometric form}} \cr
& = 36\left[ {\cos 31^\circ + i\sin 31^\circ } \right] \cr
& {\text{Use a calculator}} \cr
& \approx 30.8580 + 18.5414i \cr} $$
