Graphing Polar Equations Examples | Calculus 2 - JK Math

Example Problems For How To Graph Polar Equations (Calculus 2) In this video we look at practice problems of graphing polar equations. This includes polar equations that represent basic polar graphs such as lines and circles, as well as more complex and special polar graphs such as limacons with an inner loop, cardioids, limacons with a dimple, convex limacons, rose curves, and lemniscates. We look at graphing basic polar equations first, and then we look at one example of graphing a more complex polar equation using points and symmetry, and the rest of the examples focus on being able to identify special polar equations and graphing them with a quick sketch. ⬇️ 📝 Download My Free Blank Polar Graphs Here: https://www.jkmathematics.com/blank-polar-coordinates-worksheet 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture! Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 Example 1: r=3 and r=-2 2:23 Example 2: θ=2π/3 and θ=-π/4 5:31 Example 3: r=2secθ and r=-3cscθ 8:13 Example 4: r=2cosθ and r=-4cosθ 11:16 Example 5: r=3sinθ and r=-sinθ 13:33 Example 6: r=1-sinθ (Using Points & Symmetry) 27:57 Example 7: r=1+2sinθ (Quick Sketch) 34:25 Example 8: r=3-3cosθ (Quick Sketch) 39:04 Example 9: r=2cos(6θ) (Quick Sketch) 44:07 Example 10: r^2=9sin(2θ) (Quick Sketch) 47:40 Outro 📝 Lesson Video For These Examples: https://youtu.be/xx4JN8x2E24 ⏩ Next Lesson: https://youtu.be/3WQF8nWtt3M 📺 Calculus 2 Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE7KQ922piyRIDAj30XYcOIu 📺 Calculus 1 Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE6krGDQthaQRpLZFLD4ob54 🌐 Visit My Website: https://www.jkmathematics.com ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: Facebook: https://www.facebook.com/jkmathematics Twitter: https://twitter.com/jk_mathematics Instagram: @jk_mathematics Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! -Josh from JK Math #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.