ploting e^(ix) = cos x + i sin x ?

Question

i am using matlab program to plot the equ e^(ix) = cos x + i sin x ?
but the left side graph is not eqval to right side.

function esinx()
x = 0;
for i = 1:1000
e(i) = exp(x);
sinw(i) = sin(x);
esin(i) = exp(x) * sin(x);
x = x + 0.01;
end
subplot(3,1,1); plot(e);
subplot(3,1,2); plot(sinw);
subplot(3,1,3); plot(esin);
%end

Answer 1

Your plot should wind up being a circle with the horizontal being the real axis and the vertical being the complex. The radius is one.

http://en.wikipedia.org/wiki/Euler's_identity

Answer 2

I don't have access to my math proggies right now, but a thought came to mind, and you probably already thought of this, but it's an easy oversight.....are you sure you're looking at the same scales on each plot?

Answer 3

Think of it as a wave with wavelength of 1.
The projection on the real axis is cosine and on the imaginary is sinus.

Answer 4

kid, just draw a full circle of radius 1

Answer 5

in this case i is not a varible. it is sqrt of -1