Mark Wickens

HYP ASN, HYP ACS, HYP ATN

Purpose

Returns the value of the corresponding inverse hyperbolic function value for the argument.

Format

HYP ASN     (argument)
             └──┬───┘ 
       Numeric expression
   
HYP ACS     (argument)
             └──┬───┘ 
       Numeric expression
   
HYP ATN     (argument)
             └──┬───┘ 
       Numeric expression

*The parenthesis enclosing the argument can be omitted when the argument is a numeric value of variable.

Example

HYP ASN(10)

Parameters

argument: Numeric expression

• HYP ASN:

  argument

  < 5 × 10⁹⁹ (5E+99)

• HYP ACS: 1 ≦ argument < 5 × 10⁹⁹ (5E+99)
• HYP ATN: -1 < argument < 1

Explanation

Returns the value of the corresponding inverse hyperbolic function for the argument.

• HYP ASN(x): sinh⁻¹𝑥=logₑ(𝑥+√(𝑥²+1))
• HYP ACS(x): cosh⁻¹𝑥=logₑ(𝑥+√(𝑥²-1))
• HYP ATN(x): tanh⁻¹𝑥=½∙logₑ((1+𝑥)/(1-𝑥))

See

• ANGLE
• HYP SIN
• HYP COS
• HYP TAN

Sample Program

10  INPUT "INPUT NUMBER (1 OR GREATER)"; N
20  PRINT "HAS(";N;")="; HYPASN N
30  PRINT "HAC(";N;")="; HYPACS N
40  END

Displays inverse hyperbolic function value for numeric input of 1 or greater.