![]() You can rotate a complex number by multiplying with the exponential function e iθ because Euler's identity says So (x, y) becomes a complex number x + yi. My favorite way to remember this transformation in the 2D case is by using the complex plane. Solve that equation for θ, then plug it back into the first formula to get the rotated coordinates.ĮDIT: You should notice that there are infinitely many solutions for θ, but only 2 are unique with respect to your problem (up to additional rotations of 2π).
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