ASech Function

Description

The function \(ASech\) calculates inverse hyperbolic secans of the argument.

ASech returns the angle to the hyperbolic secans of real or complex numbers. The argument can be a single number or a data field. For data fields, the inverse hyperbolic secans of each individual element is calculated and the results are returned in a data field of the same size.

ASech for real numbers

Parameter

The argument must be a positive number greater than 0 and less than or equal to 1.

Result

The result is given in degrees (full circle = 360°) or radians / radians (full circle = 2 · π). The unit of measurement used is set in the toolbar with the DEG or RAD buttons or an optional parameter. The setting in the toolbar applies to the entire worksheet.

At 0, the result returned is ∞ (infinity). For other arguments, outside the range specified above, the result is NaN (Not a number).

Optional Parameter

Optionally, a second parameter can be specified with the keywords DEG or RAD to set the unit of measure for this function call. The specification of the parameter has priority over the global setting in the toolbar. You can use it on a worksheet different functions use different units of measurement independent of the presetting in the toolbar.

Syntax

ASech (value)

ASech (value, RAD)

ASech (value, DEG)

Example

ASech for complex numbers

For complex numbers, the result is always given as radians, regardless of the default setting in the toolbar. The result is also a complex number.

Syntax

ACsch (re + im)

Example

ACsch(3 + 4i)= 0.16-1.45i