Hyperbolic Tangent Function is Odd

Theorem
Let $\tanh: \C \to \C$ be the hyperbolic tangent function on the set of complex numbers.

Then $\tanh$ is odd:


 * $\tanh \left({-x}\right) = -\tanh x$

Also see

 * Hyperbolic Sine Function is Odd
 * Hyperbolic Cosine Function is Even
 * Hyperbolic Cotangent Function is Odd
 * Hyperbolic Secant Function is Even
 * Hyperbolic Cosecant Function is Odd


 * Tangent Function is Odd