Quote:
Originally Posted by Dubslow
You are over thinking it. Reexamine proposition 47.
Because 300 % 8 == 4, the answer pretty simply follows as 1/sqrt(2) * (1i).
Edit: crosspost.
In the most fundamental view, exponentials are nothing more than geometry/trigonometry, and handling them as such is pretty typically the most convenient way to treat them (at least computationally in the complex plane). For more context about the fundamentality of the exponential function in the complex plane, see e.g. this wonderful little write up: https://np.reddit.com/r/math/comment...gjq/?context=3

Really? (i+1)^2 = 2i and go from there ...
Chris