Slight mistake for Phasor

I just realized that I had made a slight mistake when talking about the Phasor (to both 2K and 2D). The correct representation of a phasor should be:

Ae^iθ

where A is the amplitude of the wave, θ is the phase, e is the natural exponential and "i" is the square root of negative one (You will study this soon in maths under imaginary numbers).

I forgot to write the "i" just before the "θ" when teaching this to my classes.

For mathematics buffs, the following equation is considered one of the most beautiful equations in all of mathematics. Can you tell me why?

e^iπ – 1 = 0

note: the "n" like symbol above is actually "pi". Font not very clear.