TI-BASIC:Artanh

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TANHINVERSE.GIF

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:

  1. 2nd CATALOG to access the command catalog.
  2. T to skip to commands starting with T.
  3. Scroll down and select tanhֿ¹(

Calculator Compatibility

TI-83/84/+/SE

Token Size

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.

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