## anonymous one year ago 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)

1. anonymous

@Hero @jim_thompson5910 @phi @zepdrix @SithsAndGiggles @wio @sleepyjess @Data_LG2

2. UsukiDoll

cosine is the only even function ( a mirrored symmetry) while tangent and sine are odd functions (symmetry at the origin)

3. anonymous

4. 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)

5. anonymous
6. anonymous

Like this?

7. UsukiDoll

umm let me check in a bit. I am with someone atm

8. anonymous

ok cool

9. UsukiDoll

is that desmos?

10. anonymous

yea

11. UsukiDoll

cool. so we have a flower in the graph

12. anonymous

yup

13. anonymous

I know for a fact it has symmetry about the polar axis

14. anonymous

but I need help with the rest

15. UsukiDoll

yeah.. I see a petal on the far right |dw:1434251562785:dw| oh wow my draw is broken

16. UsukiDoll

that one shows symmetry on that one petal only

17. anonymous

yup

18. anonymous

But there was an equation thing for it that I used and it worked.

19. UsukiDoll

equation thing?

20. anonymous

since cos is always equal

21. anonymous

r=9cos(5(-theta))=

22. anonymous

9cos(-5 theta)

23. anonymous

9cos(5 theta)

24. UsukiDoll

and it's also the only even function...

25. anonymous

yup