Euler's formula | Derivation without Taylor series | Complex numbers | Magic Masala Maths | 020
Problem statement:
cosX + i.sinX = e^(iX)
Derivation using differential equation.
0:00 Introduction
0:34 How is this represented in complex plane
1:28 Obtaining a differential equation
2:20 Using analogy of circular motion
2:52 Solving the linear differential equation
3:50 Complete the proof
4:50 Conclusion
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Complex number
Polar representation
Euler's formula
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