Y-axis symmetry=(r, theta)=(-r,theta) -5-5cos(theta)=r -r=5+5cos(theta) no y-axis symmetry x-axis symmetry=(r,theta)=(r,-theta) cosine is an even function, so yes it is symmetric around x-axis origin symmetry=(r,theta)=(-r,theta) or (r, theta+pi) no, as there is no y-axis symmetry
