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

 

 

 

 

atan

-----------------

 

 

 

 

1 – x2

 

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

Analytic Function

 

 

 

Type:

 

 

 

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.

Full Command and Function Reference 3-17