(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Complex Number Proof.

**Physics Forums | Science Articles, Homework Help, Discussion**