Can someone prove Euler's formula without calculus?

Question

anonymous · Answer

I'm in pre-calc trying to understand $$\Large e^{ix}=cosx+isinx$$ because ik for any postiive integer a, that $$\Large e^{ai}=e^{a}e^{i}=\cos(a)+isin(a)$$ which shows why Euler's identity works how it does, I saw this proven by the Taylor series, but I haven't reached that yet, or anything else in calc for that matter so if its not possible to explain without, let me know

anonymous · Answer

http://en.wikipedia.org/wiki/Euler's_formula go here there are all types of proofs in it

anonymous · Answer

you can see this link it's very useful http://arcsecond.wordpress.com/2009/02/07/eulers-formula-without-calculus-pt-1-exponentiation/

anonymous · Answer

Thanks you both! Idk who to give the medal to

anonymous · Answer

@rathanreddy got here first

anonymous · Answer

@Mohamed7IBrahim   he gave the correct answer

anonymous · Answer

point, but see i was on the page you provided, but i just ddin't read the part where it was proven without it, lol

anonymous · Answer

there is 3 parts you can get the link for second and third at article end