Trig functions in terms of e
Table of Contents
$$\small \sin(x) = \frac{e^{ix} - e^{-ix}}{2i}, \cos(x) = \frac{e^{ix} + e^{-ix}}{2}, \tan(x) = \frac{e^{ix} - e^{-ix}}{i(e^{ix} + e^{-ix})}$$
Where
- \(e\) is Euler’s number ~= 2.71828, and
- \(i\) is the imaginary unit, \(\sqrt{-1}\)