Question

What symmetry does r= 4 cos (theta) have?

Answer 1

Have you tried graphing this function? That's one good way of determining the type of symmetry (if any) that exists here.

Another way would be to notice that the cosine function is even. In other words, you could input either Pi/6 or -Pi/6 and get the same r (radius) value as a result.

So...what symmetry have we here?

Answer 2

so even is respect to the y-axis

Answer 3

Yes, if you're talking about functions graphed in the cartesian plane. No, not in the case of polar coordinates. Again, try graphing r= 4 cos (theta) .