Mathegoras

Complex numbers › Complex arithmetic › Dividing complex numbers

Simplify a complex exponential ratio

High school · ●●○○○ 20 pts

Let θ\theta be an angle such that tan⁡θ=2\tan \theta = 2. Simplify e2iθ−1e2iθ+1\frac{e^{2i \theta} - 1}{e^{2i \theta} + 1} and write the result in the form a+bia+bi with real numbers aa and bb. Find aa and bb.

Sign in to save your progress.

complex exponentialsEuler's formulatrigonometric identities