Hyperbolic tangent
The hyperbolic tangent is written with exponential functions as
Explanation
Substitution of the definitions for the hyperbolic sine and the hyperbolic cosine gives
Example 1
You can see that tanh (0) = 0, because
The hyperbolic tangent is written with exponential functions as
Substitution of the definitions for the hyperbolic sine and the hyperbolic cosine gives
You can see that tanh (0) = 0, because