CSCH in Collabora Office: Calculate Reciprocal Hyperbolic Sine Values

• Introduced: original Collabora release and launch date are not established by the sources reviewed.
• Availability: documented in Collabora Office 26.04 help, scoped to the desktop-help release.
• Platform scope: support in every online or mobile deployment is not inferred from desktop documentation.
• Checked: October 14, 2026. Function-specific documentation and independent numerical examples; no native Collabora test was performed.

=CSCH(number)

number is the hyperbolic argument. SINH is the related forward hyperbolic sine. CSCH is its reciprocal, not its inverse function.

ASINH instead answers which argument produced a given hyperbolic sine. At an input of one, CSCH is approximately 0.850918128 while ASINH is approximately 0.881373587. The close-looking values arise from different operations and should not be interchanged.

Hyperbolic inputs should follow the model’s scaling. Do not add a degree-to-radian conversion simply because the function name contains cosecant; that would alter the numeric argument.

Enter −2, −1, −0.5, 0.5, 1, 2 in A2:A7. Enter in B2 and fill down:

=CSCH(A2)

The function is odd: reversing the sign reverses the result. For increasing positive inputs, the values in this table decrease toward zero. Unlike ordinary circular CSC, hyperbolic CSCH can have a magnitude below one.

The rounded table is for display. Keep the formula cell’s full stored value for subsequent calculations rather than entering the printed decimal again.

=CSCH(1)
=1/SINH(1)
=CSCH(1)*SINH(1)

Expected results, approximately: 0.850918128, 0.850918128 and 1. The final product is a simple reciprocal check at a valid nonzero input.

The mathematical definition involves a reciprocal of hyperbolic sine. This does not mean every algebraically equivalent implementation has identical overflow or rounding behavior for extreme inputs. The examples here use ordinary values, without claiming a performance or stability comparison.

Suppose a worksheet defines the illustrative response 10*CSCH(x/2) for positive x. Put 1, 2 and 4 in A2:A4 and enter in B2:

=10*CSCH(A2/2)

Fill down. Expected outputs, approximately: 19.190347513, 8.509181282 and 2.757205648. The divisor 2 controls the argument scale; the multiplier 10 scales the result afterward.

These operations have different roles. =CSCH(10*A2/2) changes the hyperbolic argument and is not the same expression. Keep named or clearly labeled scale and amplitude cells if the parameters are adjustable.

A positive-only model should not silently accept negative x just because CSCH can compute a signed result. Function validity and model validity are separate checks. Zero remains excluded from this particular expression.

At a nonzero ordinary value y=CSCH(x), the inverse relationship is x=ASINH(1/y). For a controlled example:

=ASINH(1/CSCH(2))
=ASINH(1/CSCH(-2))

Expected results: approximately 2 and −2. These controls verify both signs.

The expression first takes a reciprocal, then applies the inverse hyperbolic sine. Calling CSCH itself an inverse would hide that required reciprocal. If a very large argument underflows to a stored zero output, this reconstruction no longer has a valid denominator; do not treat the identity as an unrestricted machine-precision guarantee.

CSCH is mathematically undefined at zero. At positive 0.1, the expected result is approximately 9.983352757, substantially larger than its value at one. Inputs near zero can therefore magnify small input changes.

For another identity control, =COTH(1)^2-CSCH(1)^2 is expected to give approximately 1. COTH is the related hyperbolic cotangent. Use the identity only at valid inputs and allow for normal rounding.

The direct reference reviewed defines the function but does not give a full zero-input error-label or extreme-range table. No native Collabora boundary benchmark was performed. Validate the worksheet’s domain explicitly, retain precision and do not reinterpret a large output as reliable merely because it is finite.

• Collabora Office 26.04: CSCH.
• Editorial testing standards.

The official section supplies the product-specific definition and angle-unit guidance where applicable. Worked models, identities and rounded outputs are independently calculated expectations. Native execution and broader client compatibility remain unverified.