# TI-BASIC:Artanh

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Jump to navigationJump to search**Command Summary**

Calculates the inverse hyperbolic tangent of a value.

**Command Syntax**

tanhֿ¹(*value*)

**Menu Location**

The tanhֿ¹( command is only found in the catalog. Press:

- 2nd CATALOG to access the command catalog.
- T to skip to commands starting with T.
- Scroll down and select tanhֿ¹(

TI-83/84/+/SE

1 byte

The tanhֿ¹( command calculates the inverse hyperbolic tangent of a value. tanhֿ¹(x) is the number y such that x = tanh(y).

tanhֿ¹(x), although it can be defined for all real and complex numbers, is real-valued only for x in the open interval (-1,1). Since Z80 calculators have their hyperbolic functions and inverses restricted to real values, ERR:DOMAIN is thrown when x is outside the interval (-1,1).

The tanhֿ¹( command also works for lists.

tanhֿ¹(0) 0 tanhֿ¹({-.5,.5}) {-.5493061443 .5493061443}

# Error Conditions

**ERR:DOMAIN**when taking the inverse tanh of a number not between -1 and 1.