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Polar Equations vs Rectangular Equations | Calculus 2 Lesson 46 - JK Math

How to Convert Polar Equations to Rectangular Equations & Vice Versa (Calculus 2 Lesson 46) In this video we learn how to convert from polar equations to rectangular equations and how to convert from rectangular equations to polar equations. We first discuss how polar equations and rectangular equations are related despite being rooted in different coordinate systems, and then how to convert between them since they are related. We look at several examples of converting between polar and rectangular in both directions, explaining each step along the way. ⬇️ 📝 Download My Free Blank Polar Graphs Here: https://www.jkmathematics.com/blank-p... 🖥️ 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 Review of Rectangular Equations 2:08 What are Polar Equations? 4:10 Rectangular vs Polar Equations (Graphically) 10:32 Conversion Formulas 14:30 Example: r=3 to Rectangular 17:10 Example: θ=π/3 to Rectangular 18:46 Example: r=4secθ to Rectangular 20:48 Example: r=5cscθ to Rectangular 22:55 Example: r=2sinθ to Rectangular 28:21 Example: x=9 to Polar 29:28 Example: y=13 to Polar 30:32 Example: x^2+y^2=10 to Polar 31:19 Example: x^2+y^2+8y=0 to Polar 32:44 Example: 3x-y+2=0 to Polar 34:30 Example: y^2=9x to Polar 36:49 Outro 📝 Examples Video:    • Converting Polar Equations & Rectangu...   ⏩ Next Lesson:    • Graphing Polar Equations | Calculus 2...   📺 Calculus 2 Playlist:    • Calculus 2   📺 Calculus 1 Playlist:    • Calculus 1   🌐 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:   / jkmathematics   Twitter:   / 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.

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