Inverse Hyperbolic Tangent/Examples/i

Example of Inverse Hyperbolic Tangent

 * $\tanh^{-1} \paren i = \dfrac {\paren {4 k + 1} \pi i} 4$

Proof
By definition of inverse hyperbolic tangent:
 * $\tanh^{-1} \paren i := \set {z \in \C: \tanh z = i}$

Thus: