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Trigonometry of Complex Values

Exponential and Trigonometric

\(\displaystyle \texttt{sin}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{cos}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}} \)
\(\displaystyle \texttt{sin}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{cos}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}} \)
\(\displaystyle \texttt{sin}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{cos}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}} \)
\(\displaystyle \texttt{sin}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{cos}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \)
\(\displaystyle \texttt{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}} \)
\(\texttt{e}^{\mathbb{i} \theta} = \texttt{cos}(\theta) + \mathbb{i}\texttt{cos}(\theta)\)
\(\texttt{e}^{\mathbb{i} \theta} = \texttt{cos}(\theta) + \mathbb{i}\texttt{cos}(\theta)\)