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How do I convert the complex number \(\sqrt{2}i\) to polar form and how do I convert it back to a compkex number?

 Nov 19, 2016
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How do I convert the complex number  to polar form and how do I convert it back to a complex number?

\(\sqrt2 i\)

 

I muffle through these I am sure there is a better technique but this is a very easy one.  :)

 

\(\sqrt{2}\:i=\sqrt{2}(0+1i)\\ cos\theta=0\;\;\;\;\;sin\theta=+1\\ \theta=\frac{\pi}{2}\\ \sqrt{2}\:i=\sqrt{2}(cos\frac{\pi}{2}+isin\frac{\pi}{2})=\sqrt2e^{i\pi/2}\\ \)

 

Converting it back is dead simple, just do the same thing backwards :)

 Nov 19, 2016

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