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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
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Convert 

\(2*e^{i \frac{\pi}{6} } \)

to rectangular form.

 

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

 

 

laugh

 
 May 22, 2020
edited by heureka  May 22, 2020

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