Casio FX-890P - Page 61

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HYPASN
PURPOSE: Returns the value for which hyperbolic sine (value) = parameter.
FORMAT:
HYPASN
(argument)
Numeric expression
The parenthesis enclosing the argument can be omitted when the argument is a
numeric value or variable.
EXAMPLE: HYPASN (-150)
PARAMETERS: argument must be within the ]-5x10
99
, 5x10
99
[ range
EXPLANATION:
1. The mathematical formula for reverse hyperbolic sine is :
asinh(x) = ln ( x + √ ) where ln is the natural logarithm .
2. The returned value is in the [-230.2585092 , +230.2585092] range.
SEE: HYPSIN, LN
HYPATN
PURPOSE: Returns the value for which hyperbolic tangent (value) = argument.
FORMAT:
HYPATN
(argument)
Numeric expression
The parenthesis enclosing the argument can be omitted when the argument is a
numeric value or variable.
EXAMPLE: HYPATN (-0.3)
PARAMETERS: argument must be within the ]-1 , +1[ range
EXPLANATION:
1. The mathematical formula for reverse hyperbolic tangent is :
atanh(x) = ( ln (1+x) – ln (1-x) ) / 2 where ln is the natural logarithm .
2. The returned value is in the ]-10
100
, +10
100
[ range.
SEE: HYPTAN, LN
HYPCOS
PURPOSE: Returns the value of the hyperbolic cosine of the argument.
FORMAT:
HYPCOS
(argument)
Numeric expression
The parenthesis enclosing the argument can be omitted when the argument is a
numeric value or variable.
EXAMPLE: HYPCOS (30)
PARAMETERS: argument must be within the [-230.2585092 , +230.2585092] range.
EXPLANATION:
1. The mathematical formula for hyperbolic cosine is :
cosh(x) = (e
x
+ e
-x
) / 2 where e is 2.7182818284590452353602874713526...
2. The returned value is in the [-1 , 5x10
99
[ range.
SEE: HYPACS, LN
F
0
x
2
+ 1
F
0
F
0