ATANH()

SyntaxATANH(number)

Definition. This function returns the inverse hyperbolic tangent of a number (see Figure 16-9). The number must be between –1 and 1.

Argument

  • number (required) Any real number between –1 and 1

Background. The inverse hyperbolic functions are the inverse functions of the hyperbolic functions. The formula for the inverse hyperbolic tangent is:

image with no caption

Note

Inverse hyperbolic functions have the prefix ar in the same way that the inverse trigonometric functions have the prefix arc.

The function is odd and is defined only for –1 < x < 1.

Figure 16-9. The function is odd and is defined only for –1 < x < 1.

Examples. Examples of this function are:

  • =ATANH(0) returns 0.

  • =ATANH(0.5) returns 0.54930614.

  • =ATANH(-0.5) returns -0.54930614.

  • =ATANH(0.999) returns 3.80020117.

  • =ATANH(-0.999) returns -3.80020117.

See Also

ACOSH(), ASINH(), COSH(), SINH(), TANH()

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