Reference Guide

Full Command and Function Reference 3-17
Input/Output:
Level 1/Argument 1 Level 1/Item 1
z
→
asin z
'symb'
→
'ASIN(symb)'
See also: ACOS, ATAN, ISOL, SIN
ASIN2C
Type: Command
Description: Transforms an expression by replacing asin(x) subexpressions with π/2–acos(x) subexpressions.
Access: Trigonometry, …Ñ
Input: An expression
Output: The transformed expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
See also: ACOS2S, ASIN2T, ATAN2S
ASIN2T
Type: Command
Description: Transforms an expression by replacing asin(x) subexpressions with the following:
x
1 x
2
–
------------------
 
 


atan
Access: Trigonometry, …Ñ
Input: An expression.
Output: The transformed expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
See also: ASIN2C, ACOS2S, ATAN2S
ASINH
Type: Analytic Function
Description: Arc Hyperbolic Sine Analytic Function: Returns the inverse hyperbolic sine of the argument.
The inverse of SINH is a relation, not a function, since SINH sends more than one argument to
the same result. The inverse relation for SINH is expressed by ISOL as the general solution:
ASINH(Z)*(–1)^n1+ π *i*n1
The function ASINH is the inverse of a part of SINH, a part defined by restricting the domain of
SINH such that:
• each argument is sent to a distinct result, and
• each possible result is achieved.
The points in this restricted domain of SINH are called the principal values of the inverse relation.
ASINH in its entirety is called the principal branch of the inverse relation, and the points sent by
ASINH to the boundary of the restricted domain of SINH form the branch cuts of ASINH.