# Mathematics - Complex Exponential (Euler's formula)

## 1 - About

Euler's formula provides a powerful connection between analysis and trigonometry, and provides an interpretation of the sine and cosine functions (the sinusoidal functions) as weighted sums of the exponential function.

$$e^{i\theta} = \cos \theta + i\sin \theta \\ e^{i\pi} = -1$$

where:

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