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In this video I prove DeMoivre's Theorem using the principal of mathematical induction. This is also called DeMoivre's Formula or DeMoivre's Identity. This is a fun proof. I hope this helps someone. The book on amazon: https://amzn.to/3OUxpJw The pencils I used in this video: https://amzn.to/3bCpvpt The paper I used in this video: https://amzn.to/3OQ8nuM (the above links are my affiliate links) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com Free Homework Help : https://mathsorcererforums.com/ My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can help support my channel:) Consider becoming a member of the channel: https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join My GoFundMe Page: https://www.gofundme.com/f/support-math-education-for-the-world My Patreon Page: https://www.patreon.com/themathsorcerer Donate via PayPal: https://paypal.com/donate/?cmd=_s-xclicku0026hosted_button_id=7XNKUGJUENSYU ************Udemy Courses(Please Use These Links If You Sign Up!)************* Abstract Algebra Course https://www.udemy.com/course/abstract-algebra-group-theory-with-the-math-sorcerer/?referralCode=B04607DA7A7D0E29272A Advanced Calculus Course https://www.udemy.com/course/advanced-calculusreal-analysis-with-the-math-sorcerer/?referralCode=0ABDD66D061D976EE232 Calculus 1 Course https://www.udemy.com/course/calculus-1-with-the-math-sorcerer/?referralCode=E853B70ED36571CA9768 Calculus 2 Course https://www.udemy.com/course/calculus-2-with-the-math-sorcerer/?referralCode=BAA5520B32FEA9827D54 Calculus 3 Course https://www.udemy.com/course/calculus-3-with-the-math-sorcerer/?referralCode=296462D1897904C4BEB3 Calculus 1 Lectures with Assignments and a Final Exam https://www.udemy.com/course/calculus-1-lectures-with-the-math-sorcerer/?referralCode=5D425153B63A8F506E30 Calculus Integration Insanity https://www.udemy.com/course/calculus-integration-insanity-with-the-math-sorcerer/?referralCode=D533EEE31F90EDDAFF93 Differential Equations Course https://www.udemy.com/course/differential-equations-with-the-math-sorcerer/?referralCode=4F0D91B41F7DACF4EC28 Differential Equations Lectures Course (Includes Assignments + Final Exam) https://www.udemy.com/course/differential-equations-lectures-with-the-math-sorcerer/?referralCode=89E6CCC307A7A8627CD6 College Algebra Course https://www.udemy.com/course/college-algebra-with-the-math-sorcerer/?referralCode=B2929EE97EF68DB9B69F How to Write Proofs with Sets Course https://www.udemy.com/course/how-to-write-proofs-in-set-theory-with-the-math-sorcerer/?referralCode=D503A7E3FB6916CF2D27 How to Write Proofs with Functions Course https://www.udemy.com/course/how-to-write-proofs-with-functions-with-the-math-sorcerer/?referralCode=DBACD59AB7B16D4707CD Trigonometry 1 Course https://www.udemy.com/course/trigonometry-1-with-the-math-sorcerer/?referralCode=79E02DDFD4106A909AF5 Trigonometry 2 Course https://www.udemy.com/course/trigonometry-2-with-the-math-sorcerer/?referralCode=7966E40F319B4FEF6535 Statistics with StatCrunch Course https://www.udemy.com/course/statistics-with-statcrunch-by-the-math-sorcerer/?referralCode=69B27AF43D10924FF63B Math Graduate Programs, Applying, Advice, Motivation https://www.udemy.com/course/math-graduate-programs-applying-advice-motivation/?referralCode=70A1CED973D7910E9161 Daily Devotionals for Motivation with The Math Sorcerer https://www.udemy.com/course/daily-math-devotionals-for-motivation-with-the-math-sorcerer/?referralCode=2653144E315A37A94B8C Thank you:)
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This video 「
DeMoivre's Theorem Induction Proof: (cos(x) + isin(x))^n = cos(nx) + isin(nx)
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