Coordinate Transformation (Cartesian Coordinates → Polar Coordinates)
Converts the Cartesian representation of a complex number, x + yi, to polar coordinates, reθi.

| Polar coordinates: | |
| reθi | |
| r | |
| θ | radians |
| \(\normalsize (1)\ Cartesian\ coordinates:\ x+yi\\ \hspace{60px}x=r\cos\theta,\hspace{20px}y=r\sin\theta\\ (2)\ Polar\ coordinates:\ re^{{\theta}i}\\ \hspace{60px}r=\sqrt{x^2+y^2},\hspace{20px}\theta=\tan^{\small-1}{\large\frac{y}{x}}\\\) |
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