Meaning? Spaced repetition still work there.
Meaning? Spaced repetition still work there.
Almost every human observer would have an instant lightbulb moment and would probably not forget this for years. The observing people would have instantly formed a mental model - the concept.
Everyone else still has to memorize the actual terms.
Well if we look at cos and sin, we know that these correspond to e^x if x = i x So then it’s easy to plug that in to the expression for e and get e^{i x} = 1 + ix - x^2/2! - i x^3/3! ... Taking the imaginary part gives us sin, and taking the real gives us cos.
So all we have to remember really is the pattern for e and to put ix instead of x. e^(ix) = sum((1/n!) * (ix)^n)
This was the Aha! that I got from a professor in my bachelors. Of course there’s still like two or three things to remember, but it’s a whole lot easier to unpack from there than to memorize the expansion of cos
Reading over it I guess that may have been your initial point.