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TANH function


Hyperbolic tangent function. TANH(x) returns the hyperbolic tangent of the angle x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function.

The hyperbolic tangent can be defined as:

$$ \operatorname{tanh}(x) = \frac{\operatorname{sinh}(x)}{\operatorname{cosh}(x)} $$

where sinh is the hyperbolic sine function and cosh is the hyperbolic cosine function.

The argument x can be a real number, a complex number, or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the TANH function applied to all elements.




TANH function

Relation with COSH and SINH functions

Hyperbolic functions COSH, SINH, TANH

Related functions

External links