Euler's Formula for the complex exponential
18:46
YouTubeDr. Bevin Maultsby
Euler's Formula for the complex exponential
Let's derive Euler's formula e^(it) = cos(t) + i sin(t) and look at related properties. We finish by using this formula to prove the double angle identity from trigonometry. We start by setting x = it in the power series for e to the x, simplify the powers of i, and then group the terms into real and imaginary parts. When we do that, we ...
1.6K viewsNov 15, 2023
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