Create a Unique Polar Graph with Our Precal Project Help

[jcoolio12]

Hey guys. For my honors precal class, we just started learning about graphing polars and all that nonsense and we have a project due thursday where we have to make up out own polar formula and then draw the graph. I really want to do something cool but I can't think of anything. Please help!

 

[gb7nash]

Your question is pretty vague. If all you have to do is pick something to graph, just do r = cos(theta)

 

[jcoolio12]

Well I mean like I want something cool looking when u put it in the calculator

 

[LCKurtz]

"Cool" is in the eye of the beholder. What about

r = cos(2θ)+cos(4θ)

 

[jcoolio12]

@LCKurtz, thank you very much. I sat for like 30mins doing random formulas and half the time I'd just get circles and others just a bunch of scattered lines and stuff. but thanks, that's the one I'll use

 

[LCKurtz]

@LCKurtz, thank you very much. I sat for like 30mins doing random formulas and half the time I'd just get circles and others just a bunch of scattered lines and stuff. but thanks, that's the one I'll use

You're welcome. If you change the cos(4θ) so sin(4θ) you get a nice looking dragonfly.

 

[jcoolio12]

Alright, I turned in the project today. I colored it all beautifully and with my teacher's favorite colors so I hope it all goes well. I'll keep you posted!

 

[tedbradly]

http://www.wolframalpha.com/input/?i=r+%3D+cos%28100*%CE%B8%29^%CE%B8+%2B+%CE%B8*200

Though it's too late, that looks cool to me.

 

[TylerH]

http://www.wolframalpha.com/input/?i=r=cos(31t/32)+polar

In general, r=cos((m)t/n), where m is coprime to n, looks pretty freakin' awesome.