📚 How to graph polar equations using symmetry (rose curve)

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The graph of r=a⋅sin⁡nθ and r=a⋅cos⁡nθ, a≠0 are called rose curves. If n is even, the rose has 2n petals. If n is odd, the rose has n, petals. For example:

Q. Check for symmetry and then graph the polar equation:

r=2 cos⁡2θ

[ChelseaLi]

Doesn’t this example have symmetry about the y axis though