Tangent Exponential Formulation

Theorem
Let $z$ be a complex number.

Let $\tan z$ denote the tangent function and $i$ denote the imaginary unit: $i^2 = -1$.

Then:

Also see

 * Sine Exponential Formulation
 * Cosine Exponential Formulation
 * Cotangent Exponential Formulation
 * Secant Exponential Formulation
 * Cosecant Exponential Formulation


 * Arctangent Logarithmic Formulation