polar transform of complex numbers in matlab

To perform a polar coordinate transform on a complex number in Matlab, we can use the polar function which takes in two arguments, the radius and angle in radians.

Here's an example code snippet that transforms a complex number z into polar coordinates:

main.m
z = 3 + 4i;   % example complex number
r = abs(z);   % compute the radius
theta = angle(z);   % compute the angle in radians
polar(theta, r);   % plot the polar coordinates
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The abs function computes the magnitude (or modulus or radius) of the complex number, while the angle function computes the angle of the complex number in radians.

The polar function creates a polar plot of the given radius and angle values.

This code snippet will plot the polar coordinates of the example complex number (3+4i) with the radius of 5 and the angle of 53.13 degrees (or 0.93 radians) from the positive real axis.

Here is the resulting plot: