+0

# Confused on this question

0
84
1

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

May 22, 2020

#1
+25480
+1

Convert

$$2*e^{i \frac{\pi}{6} }$$

to rectangular form.

$$\begin{array}{|rcll|} \hline 2*e^{i \frac{\pi}{6} } &=& 2 \Bigg(\cos\left( \frac{\pi}{6}\right) +i\cos\left(\frac{\pi}{6} \right) \Bigg) \\\\ 2*e^{i \frac{\pi}{6} } &=& 2 \Bigg(\dfrac{\sqrt{3}}{2} +i*\dfrac{1}{2} \Bigg) \\\\ \mathbf{2*e^{i \frac{\pi}{6} }} &=& \mathbf{\sqrt{3}+1} \\ \hline \end{array}$$

May 22, 2020
edited by heureka  May 22, 2020