What are the Euler formulas? By what very important idea did we obtain them?

Chapter 11, Problem 2

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QUESTION: What are the Euler formulas? By what very important idea did we obtain them?

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QUESTION: What are the Euler formulas? By what very important idea did we obtain them?

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Euler formula is as follows:

\({e^{i\theta }} = \cos \theta  + i\sin \theta \) where \(\theta \) belongs to real number and \(i\) is the imaginary number (\(i = \sqrt { - 1}) \).

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