You’ve Never Seen Taylor Series Derived Like This (Using SHM)
Автор: ISAC learning (NMS Sir)
Загружено: 2026-01-27
Просмотров: 1717
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In this video, I present a unique and intuitive proof of the Taylor series expansion of sin θ using Simple Harmonic Motion (SHM) — a derivation rarely, if ever, shown in standard textbooks or online lectures.
Instead of starting with pure calculus, we begin with the physics of SHM and uncover how the mathematical structure of motion naturally leads to the Taylor expansion of sine.
This approach reveals a deep and beautiful connection between classical mechanics and mathematical analysis, showing that Taylor series is not just an abstract tool, but something that emerges naturally from physical laws.
📌 Ideal for:
Physics enthusiasts
JEE / Olympiad aspirants
Undergraduate students
Anyone who loves seeing mathematics through physics
If you’ve only seen Taylor series derived mechanically before, this perspective will completely change how you understand it.
Watch till the end for the full insight.
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