Advanced Search

Question: Converting cartesian coordinates on a circle to polar form

Question:Converting cartesian coordinates on a circle to polar form

daljit97 65 Maple
polar-coordinates
May 11 2021
3

Suppose you have some functions like:

S^1 --> S^1: w(x,y) = (x^2 - y^2, 2xy)

Then this is equivalent of

w(exp(i 2Pi t)) = exp(i 4 Pi t)

Or if I have S^1 --> S^1: w(x,y) = (-y,x), we would get:

w(exp(i 2Pi t)) = exp(i 2 Pi (t+1/4))

 

How can I obtain the second form of the expression in Maple given the first one?
Please Wait...