How to plot every combination of a function?

x= A + cos(theta) y= sin(theta) - A

The x and y coordinates are parametrised by A and theta

Is there a way to plot graphs for every combination of 0<A<20 and 0<theta<360 ?

Answer 1

[Image Analyst]

Have you tried meshgrid to give every combination:

a = 1:2:20
th = 0:20:360;
[A, theta] = meshgrid(a, th);
x= A + cos(theta);
y= sin(theta) - A
plot(x, y);

[Jannen Paiva]

Would this also work if x and y were parametrised by any number of variables? eg. (a, b, c, th1, th2)

Answer 2

[Star Strider]

For all values of both variables, you get a patch plot:

x = @(theta,A) A + cosd(theta); 
y = @(theta,A) sind(theta) - A;

theta = linspace(0, 360, 360);

figure(1)
subplot(2,1,1)
patch([theta, fliplr(theta)], [x(theta,0), fliplr(x(theta,20))], 'b')
title('X')
axis([0  360    ylim])
grid
subplot(2,1,2)
patch([theta, fliplr(theta)], [y(theta,0), fliplr(y(theta,20))], 'b')
title('Y')
axis([0  360    ylim])
grid