- #1
aaj92
- 25
- 0
Homework Statement
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.
Homework Equations
e[itex]^{i\theta}[/itex]= cos[itex]\theta[/itex]+isin[itex]\theta[/itex]
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