Question

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = 3 cos 5θ

Answer 1

Question #54286, Math / Analytic Geometry

Determine if the graph is symmetric about the $x$-axis, the $y$-axis, or the origin.

$$r = 3 \cos 5 \theta$$

Solution:

If we will draw the graph, we can easily determine his symmetry:

$$\boxed{r(a) = 3 \cos(5a)}$$

- Graph is symmetric about the $x$-axis;

- Graph isn't symmetric about the $y$-axis;

- Graph isn't symmetric about the origin (point $[0,0]$);

www.AssignmentExpert.com