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ASNH

Returns the hyperbolic arcsine of an expression.
 
 ASNH( numeric-expression )
 
Usage:
Beta=ASNH(T1)
PRINT "Angle = ";ASNH(Z)
 
Example:      ASNH.BAS
 
Description:
The hyperbolic arcsine of a number is the angle whose hyperbolic sine is that number. The angle is returned in radians, regardless of the current trigonometric mode. ASNH returns the principal value, defined (in terms of complex arithmetic) as
 
ASNH(Z) = LOG(Z+SQRT(Z^2+1))
 
which returns an imaginary part in the range -PI/2 to +PI/2. ASNH accepts either a COMPLEX or REAL argument and returns a value of the same type. ASNH is defined at all points for both COMPLEX and REAL arguments. However, intermediate values generated during the calculation of the function can cause over or underflow errors for very large or small values of Z.
 
See Also: