# Relationship between e, sin and cos

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## Converting from e to sin/cos

It is often useful when doing signal processing to understand the relationship between e, sin and cos. Sometimes difficult calculations involving even or odd functions of can be greatly simplified by using the relationship to simplify things. The relationship is as follows:

## Converting from sin/cos to e

The reverse conversion is also often helpful:

We can test to see that this works as follows:

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