Question

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 cos 5θ

Answer 1

symmetric only to x-axis

Explanation:

Answer 2

Explanation:

r=3 cos 5∅

change ∅ to -∅

r=3cos(-5∅)=3 cos (5∅)

so it does not change.

Hence it is symmetric to x-axis.

change r to -r

-r=3 cos 5∅

or r=-3 cos 5∅

so eq. changes .

Hence it not symmetric to y-axis.