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