exp(iat+b) = cos(at+b) + isin(at+b)

pls i need 2 know

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- Nov 25th 2009, 12:06 PM #1

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- Nov 25th 2009, 12:11 PM #2

- Nov 25th 2009, 12:17 PM #3

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- Nov 25th 2009, 12:39 PM #4
To make the question easier make

And let .

It is also important to note that when .

Then

.

So .

Rearranging and integrating gives

, where

.

Now to find the constant, recall that when .

So

.

Therefore

.

Thus this proves Euler's Formula:

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