View these graphs with domain and range reversed to see how the domain of COS is restricted to make an inverse function possible. Consider the vertical band in the lower graph as the restricted domain Z = (x, y). COS sends this domain onto the whole complex plane in the range

W = (u, v) = COS(x, y) in the upper graph.

Access:

!¾

 

( ¾is the left-shift of the T key).

Flags:

Principal Solution (–1), Numerical Results (–3), Angle Mode (–17, –18)

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

 

z

→

acos z

 

 

'symb'

→

'ACOS(symb)'

 

 

 

 

 

See also:

ASIN, ATAN, COS, ISOL

 

 

ACOS2S

Type:

Command

Description:

Transforms an expression by replacing acos(x) in subexpressions with π/2–asin(x).

Access:

Trigonometry, …Ñ

Input:

The expression to transform.

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).

Example:

Simplify the following expression:

 

Full Command and Function Reference 3-7