t5_5.asv

The matlab source code.It s very usefulness.

t=0:pi/10:2*pi;
r1=5*cos(t)+4;
subplot(2,2,1);
polar(t,r1,'bp');
title('{\rho}=5{\theta}+4');
subplot(2,2,2);
r2=12./sqrt(t);
polar(t,r1,'gp');
title('{\rho}=12/{\theta}');
subplot(2,2,3);
k1=-pi/3:pi/20:pi/3;
r3=5*sin(k1).*sin(k1)./cos(k1);
polar(k1,r3,'rp');
title('{\gamma}=5sin{\phi}');
subplot(2,2,4);
k2=-pi/6:pi/20:pi/6;
r4=3*sin(k2).*cos(k2)./(sin(k2).*sin(k2).*sin(k2)+cos(k2).*cos(k2).*cos(k2));
polar(k2,r4,'k');
title('{\gamma}=3sin{\phi}cos{\phi}');