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Complex Numbers - polar to cartesian form - matlab

MatthewTG

How do i change the polar form of complex numbers to cartesian form?

Reply 1

xyz9856

Original post by MatthewTG

How do i change the polar form of complex numbers to cartesian form?

re^ixpi=r(cos(x)+isin(x))

x is your argument, r is modulus of z (magnitude of the line), sub in values and you'll have it in the form x+yi

Reply 2

MatthewTG

Original post by xyz9856

re^ixpi=r(cos(x)+isin(x))

x is your argument, r is modulus of z (magnitude of the line), sub in values and you'll have it in the form x+yi

how do i do it in matlab?

Reply 3

yanzzz123

Here is an example matlab function:

function [real,imaginary] = comp_polar_to_cart(r, theta)
% This function converts complex numbers from polar to cartesian coordinates.
% Input: r - modulus
% theta - complex angle (in rad)

% Output: real - real part
% imaginary - imaginary part

% error check
if numel(r) ~= numel(theta)
error('The input arguments must be of the same length!');
elseif numel(size(r) - size(theta)) ~= 0
error('The input arguments must be of the same dimension!');
end

% Cartesian coordinates:
real = r .* cos(theta);
imaginary = r .* sin(theta);

(edited 7 years ago)

Reply 4