Sine Exponential Formulation

Theorem
For any complex number $x$:
 * $\sin x = \dfrac {e^{i x} - e^{-i x} } {2 i}$

where $\sin x$ is the sine and $i^2 = -1$.

Also presented as
This result can also be presented as:
 * $\sin x = \dfrac 1 2 i \left({e^{-i x} - e^{i x} }\right)$

Also see

 * Cosine Exponential Formulation
 * Tangent Exponential Formulation
 * Cotangent Exponential Formulation
 * Secant Exponential Formulation
 * Cosecant Exponential Formulation


 * Arcsine Logarithmic Formulation