Question

The parametric equations for an ellips are:

x=acos(θ) and y=bsin(θ)
a) Write a program, in MATLAB, that will plot an ellipse (using the above equations). - the program should prompt the user to input the values a and b and it should display them on the graph Refer to EXAMPVES on L 9.2 - Draw the axes on the graph.

Answer 1

To plot an ellipse using the given parametric equations in MATLAB, you can use the provided code, which prompts the user for the values of a and b and displays them on the graph.

Step-by-step explanation:

To plot an ellipse using the given parametric equations x = acos(θ) and y = bsin(θ) in MATLAB, you can use the following code:

a = input('Enter the value of a: ');
b = input('Enter the value of b: ');
theta = 0:0.01:2*pi;
x = a*cos(theta);
y = b*sin(theta);
plot(x, y);
hold on;
axis equal;
xlabel('x');
ylabel('y');
title('Ellipse Plot');
text(a, 0, ['a = ', num2str(a)]);
text(0, b, ['b = ', num2str(b)]);

This program prompts the user to input the values of a and b and plots the ellipse using the parametric equations. The axes are drawn on the graph, and the values of a and b are displayed as text on the graph.