## Lukecrayonz 3 years ago @dpaInc hi!

1. Lukecrayonz

We just did this, but the assignment got reset for some reason, so we are going to have to do the same type of problems again, wanna help again?

2. dpaInc

3. dpaInc

fire away...

4. Lukecrayonz

@dpaInc Name the polar symmetry of the graph with the polar equation r=2+2costheta

5. dpaInc

we gotta test for symmetry... about polar axis... change the theta to -theta...

6. dpaInc

about the origin... change the r to -r

7. Lukecrayonz

So when you change it and nothing happens, that means..

8. dpaInc

it's symmetrical if the equation is the same...

9. dpaInc

i forgot... 1 more

10. dpaInc

about the vertical line theta = pi/2, change theta to pi-theta

11. Lukecrayonz

Pi/theta? Or pi minus theta?

12. dpaInc

for the last one, change theta to pi-theta this checks for symmetry about the vetical line through the pole.

13. dpaInc

cosine is even so cos(theta) = cos(-theta)

14. dpaInc

HINT^^

15. dpaInc

16. Lukecrayonz

Yes :D

17. dpaInc

18. Lukecrayonz

Polar axis: Symmetrical Origin: Not symmetrical Vertical line through the pole: Not symmetrical

19. dpaInc

very good my son....

20. dpaInc

go now and teach the ways of the force to others....

21. Lukecrayonz

More questions though.