SOLUTION: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ can you please show all your work and explain or else i won't understand.

Question 1101965: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 2 cos 5θ

can you please show all your work and explain or else i won't understand. like in a step by step way
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Here's the plot:

And here is a plot of :

------------------------------------------------
Any cosine function must be symmetrical about the y-axis
and is no different
-----------------------------------
Start at and rotate positive:
- - - - - - - -
----------------------------------------
0 - - - - - - - - - - - - - - 2
pi/2 - - - - - - - - - - - - 0
pi - - - - - - - - - - - - - -2
3pi/2 - - - - - - - - - - - - 0
2pi - - - - - - - - - - - - - 2
-----------------------------
And, if you rotate in the negative direction, you get
exactly the same result, so there is symmetry about
the y-axis

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SOLUTION: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5&#952; can you please show all your work and explain or else i won't understand.

SOLUTION: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ can you please show all your work and explain or else i won't understand.