The conversation between human and AI assistant.
How can we learn all the trigonometric formulae with Euler's formula?
That sounds great. Can you walk me through the process of deriving the formula for sine?
Definitely. We start with Euler's formula and substitute -x for x, which gives us e^(-ix) = cos(x) - i*sin(x). Then, we add the two equations together: e^(ix) + e^(-ix) = 2*cos(x).