Trigonometry
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Euler's Formula

Links complex exponentials to trigonometry.

Formula

eiθ=cos⁡θ+isin⁡θe^{i\theta} = \cos\theta + i\sin\theta

Variables

\thetaAngle
iImaginary unit

Example

e^{iπ} = −1

Did You Know?

Euler's formula e^{iθ}=cosθ+i sinθ links five great constants and was called "the most beautiful equation" by physicists.

eulercomplexidentity