Answer
$\sqrt 2+i\sqrt 2$
Work Step by Step
$\cos 45^{\circ}=\frac{\sqrt 2}{2}$ and $\sin 45^{\circ}=\frac{\sqrt 2}{2}$
Substituting these values in the question,
$2(\cos 45^{\circ}+i\sin 45^{\circ})=2(\frac{\sqrt 2}{2}+i\frac{\sqrt 2}{2})=\sqrt 2+i\sqrt 2$
