Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 3θ

y-axis

Step-by-step explanation:

Theta = 10

2cos(30) = sqrt(3)

Theta = -10

2cos(-30) = sqrt(3)

Theta = 180 - 10 = 170

2cos(3×170) = -sqrt(3)

It is symmetric about the y-axis.

Step-by-step explanation:

Replace r with -r and θ with -θ.

-r = 2 cos 3(-θ)

-r =  -2 cos 3θ

r = 2 cos 3θ

The same equation results so it is symmetric about the y-axis.

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