EXPANSION OF Sin(nθ) and Cos(nθ) | COMPLEX NUMBER | SEM 1 | FIRST YEAR ENGINEERING
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📌 Expansion of sin(nθ) and cos(nθ) using Complex Numbers | Engineering Maths Year 1
In this lecture, we explore how to expand sin(nθ) and cos(nθ) using Complex Numbers and Euler’s Formula — a powerful technique in Engineering Mathematics.
🔍 What you'll learn in this video:
✔️ Introduction to Euler's formula
✔️ Derivation of sin(nθ) and cos(nθ) expansions
✔️ Using De Moivre’s Theorem to simplify expressions
✔️ Real and imaginary parts of complex exponentials
✔️ Step-by-step solved examples for better understanding
CHAPTERS
00:00 - Introduction
00:50 - Question No. 1
24:40 - Question No. 2
39:05 - Question No. 3
1:01:14 - Question No. 4
1:19:52 - Outro
🎓 This topic is crucial in solving trigonometric identities, wave functions, and signal processing problems in various engineering branches.
📘 Covered under: Engineering Mathematics – Complex Numbers & Trigonometry
Background Song Credit: @massobeats
Song Name : Honey Jam
📚 Related Keywords:
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