CSC in Collabora Office: Calculate Cosecants and Hypotenuse Ratios

• 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.

=CSC(number)

number is an angle in radians. RADIANS converts degrees, while SIN supplies the related forward ratio. Where sine is nonzero, CSC(x) equals 1/SIN(x).

Cosecant is not arcsine. ASIN takes a sine value and returns a principal angle; CSC takes an angle and returns a reciprocal ratio. Choosing the wrong operation can give a plausible-looking but unrelated number.

Enter 30, 45, 90, 150, 210 in A2:A6. Enter in B2 and fill down:

=CSC(RADIANS(A2))

The 30- and 150-degree angles have equal sine values, so they also have equal cosecants. At 210 degrees the sine is negative, giving a negative reciprocal. The results are ratios, not returned degree angles.

At ordinary valid real inputs, the mathematical magnitude of cosecant is at least one. This follows because the sine’s magnitude cannot exceed one. It is a useful check on calculations, though not a claim about every extreme floating-point input or text coercion.

=CSC(PI()/4)
=1/SIN(PI()/4)
=CSC(RADIANS(30))*SIN(RADIANS(30))

Expected results, approximately: 1.414213562, 1.414213562 and 1. The third formula checks the reciprocal relationship without comparing two manually rounded display strings.

If A2 already contains a radian angle, use =CSC(A2). Converting that same radian value with RADIANS would scale it again and change the intended angle.

Suppose the side opposite an acute angle is 6 units. Put the angle in degrees in A2. The hypotenuse is:

=6*CSC(RADIANS(A2))

For 30, 45 and 60 degrees, the expected lengths are approximately 12, 8.485281374 and 6.928203230 units.

All three hypotenuses exceed the opposite side. At 30 degrees the hypotenuse is twice that side, providing an easy control. The geometric model requires an acute positive angle and a positive length; it does not interpret a negative cosecant as a negative physical hypotenuse.

State the input units in the worksheet. A degree/radian mix-up is not something IFERROR can reliably diagnose, because the wrong-unit formula may still produce a finite number.

At an allowed angle, cosecant and cotangent satisfy CSC(x)^2 = 1+COT(x)^2. For a 30-degree control:

=CSC(RADIANS(30))^2
=1+COT(RADIANS(30))^2

Expected results: 4 and 4, within numerical precision. COT supplies the cotangent ratio.

This is a validation identity at valid inputs. It does not make a singular angle valid, and the two separately calculated sides need not match bit-for-bit after floating-point rounding.

Mathematically, CSC is undefined at integer multiples of PI radians because sine is zero. At 1 degree, CSC is approximately 57.298688499; at 0.1 degrees, it is approximately 572.958086019. A small angle change near zero can therefore have a large effect on the ratio.

For a review helper, calculate =ABS(SIN(RADIANS(A2))) and flag values below a chosen tolerance, such as 0.01. At 0.1 degrees this helper is below 0.01; at 30 degrees it is 0.5 and passes that particular screen.

The tolerance is a worksheet policy, not a documented universal CSC limit. Choose it for the intended precision and model. A floating-point approximation to a nominal singular angle may give a tiny nonzero denominator, so a large finite answer should not automatically be treated as trustworthy.

The guide does not assign an exact native error label to every singular or extreme input. Its examples use ordinary finite angles, independently calculated rather than executed in Collabora.

• Collabora Office 26.04: CSC.
• 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.