CSCH in WPS Spreadsheet: Calculate Reciprocal Hyperbolic Sine
Calculate reciprocal hyperbolic sine in WPS Spreadsheet, then scale a decreasing mathematical response with fixed cell references.
Verification status: See the evidence and test scope described in this guide. How formula examples are checked
Quick answer: CSCH returns hyperbolic cosecant. =CSCH(1) has mathematical expected value 0.850918128.
Availability and evidence scope
The official WPS Windows pages, checked October 19, 2026, document this function and advertise ordinary entry and calculation without membership. Their last-updated date is 2026-07-07; that is a documentation date, not its introduction release. They do not name an exact minimum or last supported build. Availability on Mac, Linux, mobile, web or historical builds is not established here.
The examples below are independently calculated mathematical expectations, rounded to nine decimal places where appropriate. They were not executed in WPS, and no native screenshot is claimed. Before relying on an installation, check its function prompt and run a small control example.
Syntax and arguments
=CSCH(number)
One required numeric argument, number, supplies the hyperbolic input. The worked examples use small nonzero numbers. A model’s input should have the intended scale; no degree conversion is involved in the hyperbolic definition.
The documented Windows workflow supports typing the formula in a cell or choosing the function through Formulas → Insert Function. These formulas use English names and comma separators. Inspect the destination formula after filling down so that relative references and fixed settings still point to the intended cells.
Example 1: tabulate a decaying curve
Enter 0.5, 1 and 2 in A2:A4. In B2 enter =CSCH(A2) and fill down. The expected values are 1.919034751, 0.850918128 and 0.275720565. This grid shows a positive curve decreasing toward zero and provides three useful control points for a mathematical worksheet.
Unlike a bounded ordinary sine, reciprocal hyperbolic sine can exceed one for small positive input. The first row is therefore consistent with the function’s definition.
Example 2: scale a response column
For a mathematical response y=3*csch(x/2), enter x values 1, 2 and 4 in D2:D4. Put scale 2 in G1 and multiplier 3 in H1. Fill =$H$1*CSCH(D2/$G$1) down E2:E4. Expected values are 5.757104254, 2.552754385 and 0.827161694.
Keep x and the scale in compatible units. The outer multiplier determines the output scale. This separates two common editing mistakes: changing the horizontal scale inside CSCH and changing the vertical multiplier outside it.
Advanced checks: reciprocal definition and odd symmetry
Compare =CSCH(1) with =1/SINH(1). Both expectations are 0.850918128. Independently, =2/(EXP(1)-EXP(-1)) has the same mathematical value. These expressions expose the definition; they are not claimed to match WPS’s numerical implementation for very small or very large inputs.
At the negative control -1, the expected result is -0.850918128. Adding the results for +1 and -1 should therefore be close to zero. A nonzero residual beyond rounding may reveal inconsistent references or an accidental absolute-value transformation in the input column.
Troubleshooting and limits
- CSCH is reciprocal hyperbolic sine, not inverse hyperbolic sine. Use the model’s definition to choose the operation.
- The mathematical function is undefined at zero because sinh(0)=0. The reviewed WPS documentation does not establish the resulting error code.
- Small nonzero inputs naturally produce large magnitudes; inspect units and the original unrounded input.
- The FAQ’s
#VALUE!advice is to check argument type and stray text. It does not establish blank-cell behavior, exact coercion rules, overflow limits or precision guarantees.