Convert $2 e^{\pi i/6}$ to rectangular form.
I know to some of you this might be easy but its my first time learning this
+26367 Convert
\(2*e^{i \frac{\pi}{6} } \)
to rectangular form.
\(\begin{array}{|rcll|} \hline 2*e^{i \frac{\pi}{6} } &=& 2 \Bigg(\cos\left( \frac{\pi}{6}\right) +i\cos\left(\frac{\pi}{6} \right) \Bigg) \\\\ 2*e^{i \frac{\pi}{6} } &=& 2 \Bigg(\dfrac{\sqrt{3}}{2} +i*\dfrac{1}{2} \Bigg) \\\\ \mathbf{2*e^{i \frac{\pi}{6} }} &=& \mathbf{\sqrt{3}+1} \\ \hline \end{array}\)
