I am puzzled by exercise 5.7. I can do the exercise easily enough, but only if I forget about the "i" in the exponent. I mean, why am I allowed to expand out e^(a+b) = e^a x e^b in real and imaginary terms (using the cos(theta) and i*sin(theta)) when there aren't any "i"s in the exponents?

31 Mar 2008, 18:14

Kurdt

Joined: 19 Mar 2008, 14:09 Posts: 36

Re: Exercise 5.7

Yes that should probably be:

31 Mar 2008, 22:20

Kurdt

Joined: 19 Mar 2008, 14:09 Posts: 36

Re: Exercise 5.7

Ok, so some sort of answer to this would be.

So we have:

Both real an imaginary parts of both sides must be equal and so: