ODEs: We show the connection of the Euler formula to polar coordinates on the xy-plane. The geometric interpretation of multiplication is given, and we show how cosine and sine arise as solutions to y" + y = 0. Finally we give formulae for sine and cosine in terms of exp(itheta) and exp(-itheta) and interpret geometrically.
Tagged under: Mathematics,ordinary,differential,equations,polar,coordinate,Euler,formula,cosine,sine,multiplication,modulus
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