Answer
$(8.3880+3.8881i)$
Work Step by Step
$[4.6(\cos12^{\circ}+i\sin12^{\circ})][2.0(\cos13^{\circ}+i\sin13^{\circ}]$
Using the product theorem, the expression becomes
$4.6(2.0)[\cos(12^{\circ}+13^{\circ})+i\sin(12^{\circ}+13^{\circ})]$
Simplifying, $9.2(\cos25^{\circ}+i\sin25^{\circ})$
Using a calculator, $9.2(0.90631+0.42262i)$
Simplifying further, $(8.3880+3.8881i)$
