How I plot parametric ellipse ,, tangenten and perpendicular.?

Question

Colly Lau 2016-9-7

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https://ww2.mathworks.cn/matlabcentral/answers/302280-how-i-plot-parametric-ellipse-tangenten-and-perpendicular

评论： Ramesh Bala 2018-7-27

1)Give ellipse (x-1)^2+y^2/4=1 after some calculation I got x= cost +1 y= 2sint (parametric equations)

2)Find a unit tangent vector, parametric equations of the tangent and perpendicular in point (1, 2). after some calculation I got unit tangent vector (1,2) tangent (0,-2) perpendicular (1,0)

I got the matlab code from lecture but I try to changes the equations to mine but is not work.

close all % Approximation of an ellipse (parametrized!) (x/2)^2+(y/3)^2=1. for i=5:10 % define the parameter t t = 0:2*pi/i:2*pi; % plot parametric curve plot(sqrt(cos(t)+1)), sqrt(2)*sin(t); axis equal; xlim([-2,2]); ylim([-2,2]); % set a grid on the plot grid on; title(sprintf('Approximation of the ellipse (x/2)^2+(y/3)^2=1 with i = %i', i)); pause(1); end

If somebody have better and easier solution please give me advice..

thank you!