This example illustrates how to apply the inverse trigonometric (Arc) functions to your transformations. 

Functions:

Also:


NOTE: These functions are valid over specific ranges.

The following functions are computed using the above functions.

Source:

In the following sample, input values are in radians. In this example, all values are rounded to two decimals for clarity.


Y
-1.00
-0.75
-0.50
0.00
0.50
0.75
1.00

Transformation:

Arcsine:

Valid over the range (-1 <= Y <= 1)

Arccosine: 

Valid over the range (-1 <= Y <= 1)

Arctangent: 

Valid over the range (-1 <= Y <= 1)

Arccosecant:

This function is valid over a set of ranged inputs, so you can use a conditional column for the computation. 

Arcsecant:

Same set of ranged inputs apply to this function. 

Arccotangent:

For this function, the two different ranges of inputs have different computations, so an else condition is added to the transformation. 

Results:

YacotYasecYacscYatanYacosYasinY
-1.00-41.86180.00-90.00-45.00180.00-90.00
-0.75-49.99nullnull-37.00139.00-49.00
-0.50-60.29nullnull-27.00120.00-30.00
0.00nullnullnull0.0090.000.00
0.5063.44nullnull27.0060.0030.00
0.7553.13nullnull37.0041.0049.00
1.0045.000.0090.0045.000.0090.00