I am required to create a graph of 4 different equations, y1, y2, y3, y4 shown below, where the only difference is this R value. When I start with a domain of theta going from 0-90 degrees (the first graph) you can clearly see a distinction between all 4 equations. When I change the domain from 0-180 degrees, all 4 equations result in identical outputs that overlap. It seems as I get closer to a domain of 180 degrees, the equations become more and more similar. Does anyone know what is causing this problem? Thanks in advance.
if trueR1 = 3;R2 = 3.5;R3 = 4;R4 = 10;theta = 0:1:180;y1 = ((pi/2)*sin(theta*pi/180)*(1+ ((cos(theta*pi/180))/(((R1^2) - (sin(theta*pi/180).^2)).^0.5))));y2 = ((pi/2)*sin(theta*pi/180)*(1+ ((cos(theta*pi/180))/(((R2^2) - (sin(theta*pi/180).^2)).^0.5))));y3 = ((pi/2)*sin(theta*pi/180)*(1+ ((cos(theta*pi/180))/(((R3^2) - (sin(theta*pi/180).^2)).^0.5))));y4 = ((pi/2)*sin(theta*pi/180)*(1+ ((cos(theta*pi/180))/(((R4^2) - (sin(theta*pi/180).^2)).^0.5))));figure; hold all;plot(theta, y1, theta, y2, theta, y3,theta, y4)
Code:
theta = 0:1:90 :
theta = 0:1:180 :
theta = 0:1:170 :
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