Create a Unique Polar Graph with Our Precal Project Help

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In summary, the conversation was about a student seeking help with a project for their honors precalculus class involving graphing polar formulas. After some suggestions, the student settled on using the formula r = cos(2θ)+cos(4θ) and created a colorful graph using their teacher's favorite colors. The conversation also mentioned another cool formula, r=cos((m)t/n), where m is coprime to n.
  • #1
jcoolio12
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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!
 
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  • #2
Your question is pretty vague. If all you have to do is pick something to graph, just do r = cos(theta)
 
  • #3
Well I mean like I want something cool looking when u put it in the calculator
 
  • #4
"Cool" is in the eye of the beholder. What about

r = cos(2θ)+cos(4θ)
 
  • #5
@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
 
  • #6
jcoolio12 said:
@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.
 
  • #7
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!
 
  • #8
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.
 

FAQ: Create a Unique Polar Graph with Our Precal Project Help

1) What is the purpose of a precalculus project?

The purpose of a precalculus project is to apply and demonstrate the concepts and skills learned throughout the course in a real-world context. It allows students to deepen their understanding of precalculus and develop critical thinking and problem-solving skills.

2) What topics are typically covered in a precalculus project?

A precalculus project may cover a wide range of topics including functions, equations, logarithms, trigonometry, and calculus concepts such as limits and derivatives. The specific topics may vary depending on the project requirements and the level of the course.

3) How can I ensure that my precalculus project is successful?

To ensure a successful precalculus project, it is important to carefully read the project instructions and understand the requirements. Plan and organize your project, and seek help from your teacher or classmates if needed. Make sure to show all your work and explain your thought process in solving the problems.

4) Can I use technology in my precalculus project?

It depends on the project guidelines. Some projects may allow the use of technology such as graphing calculators or computer software, while others may require students to solve problems by hand. It is important to follow the project instructions and guidelines provided by your teacher.

5) How can a precalculus project benefit me in the long run?

A precalculus project can benefit you in several ways. It can help you develop critical thinking and problem-solving skills that are essential in any field of science or mathematics. It can also prepare you for advanced math courses, such as calculus, and help you build a strong foundation for future academic and career pursuits.

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