anonymous
  • anonymous
Thanks for helping! Help with symmetries! Identify, graph, and state the symmetries of each polar equation. Write the scale that you are using for the polar axis. r=9cos(5 theta)
Mathematics
jamiebookeater
  • jamiebookeater
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UsukiDoll
  • UsukiDoll
cosine is the only even function ( a mirrored symmetry) while tangent and sine are odd functions (symmetry at the origin)
anonymous
  • anonymous
It asks me for symmetry about the polar axis, etc.

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UsukiDoll
  • UsukiDoll
first we need to graph this... you may need to let theta = pi/2, pi , 3pi/2 , 2pi , pi/4, pi/3, pi/6 to figure out your r and graph it (r, theta)
anonymous
  • anonymous
http://assets.openstudy.com/updates/attachments/557cd647e4b05cad71f0df73-lyralei-1434246339610-capture.png
anonymous
  • anonymous
Like this?
UsukiDoll
  • UsukiDoll
umm let me check in a bit. I am with someone atm
anonymous
  • anonymous
ok cool
UsukiDoll
  • UsukiDoll
is that desmos?
anonymous
  • anonymous
yea
UsukiDoll
  • UsukiDoll
cool. so we have a flower in the graph
anonymous
  • anonymous
yup
anonymous
  • anonymous
I know for a fact it has symmetry about the polar axis
anonymous
  • anonymous
but I need help with the rest
UsukiDoll
  • UsukiDoll
yeah.. I see a petal on the far right |dw:1434251562785:dw| oh wow my draw is broken
UsukiDoll
  • UsukiDoll
that one shows symmetry on that one petal only
anonymous
  • anonymous
yup
anonymous
  • anonymous
But there was an equation thing for it that I used and it worked.
UsukiDoll
  • UsukiDoll
equation thing?
anonymous
  • anonymous
since cos is always equal
anonymous
  • anonymous
r=9cos(5(-theta))=
anonymous
  • anonymous
9cos(-5 theta)
anonymous
  • anonymous
9cos(5 theta)
UsukiDoll
  • UsukiDoll
and it's also the only even function...
anonymous
  • anonymous
yup

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