1006 MrG What's a Polar Graph?

2602 days ago by MATH4R2013

#1) Graph Circles with Horizontal Symmetry var('theta') polar_plot([cos(theta),2*cos(theta),3*cos(theta)],(theta,0,2*pi),aspect_ratio=1) 
       
#2) Graph Circles with Vertical Symmetry polar_plot([sin(theta),2*sin(theta),3*sin(theta)],(theta,0,2*pi),aspect_ratio=1) 
       
#3) Graph Roses with Horizontal Symmetry show(polar_plot([cos(2*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([cos(3*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([cos(4*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([cos(5*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([cos(6*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([cos(7*theta)],(theta,0,2*pi),aspect_ratio=1)) 
       










#4) Graph Roses with Vertical Symmetry show(polar_plot([sin(2*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([sin(3*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([sin(4*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([sin(5*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([sin(6*theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([sin(7*theta)],(theta,0,2*pi),aspect_ratio=1)) 
       










#5) Graph Cardiods with Horizontal Symmetry show(polar_plot([2+2*cos(theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([2+1*cos(theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([2+3*cos(theta)],(theta,0,2*pi),aspect_ratio=1)) 
       




#6) Graph Cardiods with Vertical Symmetry show(polar_plot([2+2*sin(theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([2+1*sin(theta)],(theta,0,2*pi),aspect_ratio=1)) show(polar_plot([2+3*sin(theta)],(theta,0,2*pi),aspect_ratio=1)) 
       




#7) Name the conic section: polar_plot([4/(2-cos(theta))],(theta,0,2*pi),aspect_ratio=1)