There is an example in my textbook (Mathematical Methods for Physicists) that goes like this:
$$z=x+iy=r\cos\theta+ir\sin\theta=r(\cos\theta+i\sin\theta)=re^{i\theta}$$ It states that $re^{i\theta}$ is the polar form of a complex number, and $x+iy$ is the rectangular form of the complex number. Now I follow along with this just fine, but it made me confused about the other examples of the complex exponentials. Is something like $e^{{i\pi\over 2}}=i$ also in polar form? I think my confusion may come from there being an angle in the exponential, and I'm kind of rusty on polar coordinates (I've been working on that, though!).