(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Using Euler's relation, prove that any complex number z=x+yi can be written in the form z= re[itex]^{i\theta}[/itex] where r and [itex]\theta[/itex] are real. Describe the significance of r and [itex]\theta[/itex] with reference to the complex plane.

b) Write z= 3+4i in the form z = re[itex]^{i\theta}[/itex]

(pretty sure I can get this one if I can get help on the proof.

2. Relevant equations

e[itex]^{i\theta}[/itex]= cos[itex]\theta[/itex]+isin[itex]\theta[/itex]

3. The attempt at a solution

I tried to prove it, got what it wanted me to get but I feel like I did it wrong because I don't know how to go about doing part b. there's also a part c but I didn't feel the need to put it up here because if someone can just explain to me the proof for these equations I think I should be able to get parts b and c

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# Homework Help: Complex Number Proof.

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