SOLUTION: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5 θ I believe this is symmetric around the x axis, is that correct?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5 θ I believe this is symmetric around the x axis, is that correct?      Log On


   

Question 982466: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 2 cos 5 θ
I believe this is symmetric around the x axis, is that correct?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Sine or cosine function potentially has left-right symmetry and up-down symmetry, depending on the algebraic translations present in the equation or function. One would not expect symmetry through the origin -- or at least, less likely .

graph%28300%2C300%2C-3%2C3%2C-3%2C3%2C2%2Acos%285x%29%29

Your example is symmetric about both axes.