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

 NOTE: These functions are valid over specific ranges.
• Arcsine. See ASIN Function.
• Arccosine. See ACOS Function
• Arctangent. See ATAN Function.
• Arccotangent. Computed using ATAN function. See below.
• Arcsecant. Computed using ACOS function. See below.
• Arccosecant. Computed using ASIN function. See below.

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. For more information, see ASIN Function. Arcsecant:

Same set of ranged inputs apply to this function. For more information, see ACOS Function. Arccotangent:

For this function, the two different ranges of inputs have different computations, so an `else` condition is added to the transformation. For more information, see ATAN Function. 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