Determine the symmetries of the curve.
-$$r = 8 \cos 5 \theta$$
A) x-axis, y-axis, origin
B) x-axis only
C) Origin only
D) y-axis only

Name: Determine the symmetries of the curve. -\[r = 8 \cos 5 \theta\] A) x-axis, y-axis, origin B) x-axis only C) Origin only D) y-axis only
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Question

Quizplus · Accepted Answer

The curve $ r = 8 \cos 5\theta $ is symmetric about the x-axis because replacing $\theta$ with $-\theta$ results in the same equation. It is not symmetric about the y-axis or the origin.

Determine the Symmetries of the Curve r=8cos⁡5θr = 8 \cos 5 \thetar=8cos5θ

Determine the Symmetries of the Curve $r = 8 \cos 5 \theta$