COSH

Supported, behaves as documented

Category: Math and trigonometry · Last tested 2026-09-01

Real compatibility results for the COSH function: executed in Excel for the web, Google Sheets and LibreOffice Calc, with desktop Excel behavior from Microsoft’s official documentation (we do not run desktop Excel — Excel for the web is a different application and is executed separately). Syntax and links to that documentation are below.

Support matrix

Engine	Documented	Live-tested	Verdict
Excel (desktop)	Yes	No — documented only	n/a
Excel for the web	—	Yes (recalc, 2026-09-01)	Supported, behaves as documented
Google Sheets	Yes	Yes (Drive import, 2026-08-31)	Supported, behaves as documented
LibreOffice Calc	Yes	Yes (25.8.7.3, 2026-08-31)	Supported, behaves as documented

LibreOffice version history

We executed the same test cases under each LibreOffice release to show exactly when COSH’s support changed — not documentation claims, real results.

LibreOffice version	Verdict	Tested
24.2.0.3	Supported, behaves as documented	2026-08-31
24.8.7.2	Supported, behaves as documented	2026-08-31
25.2.0.3	Supported, behaves as documented	2026-08-31
25.8.7.3	Supported, behaves as documented	2026-08-31

Executed test cases

Excel for the web (executed 2026-09-01 via OneDrive recalculation)

These values come from Excel for the web, not from desktop Excel. They are two different implementations of the calculation engine, and this run measured only the web one: the corpus was uploaded to OneDrive as .xlsx, recalculated by Excel for the web on open, and downloaded again for readback. Excel for the web is a rolling service with no pinnable version, so the run is identified by its date. Where a value here disagrees with the Expected column — which is Microsoft’s documentation of the desktop product — we cannot tell you whether the web engine diverges from the desktop one or the documentation is wrong about both, because we do not run desktop Excel.

Formula	Description	Result	Expected	Verdict
=ROUND(COSH(4),6)	Microsoft's documented worked example: the hyperbolic cosine of 4	27.308233	27.308233 Provenance Microsoft's page publishes this example's result as 27.308233. Independently derived from the documented formula cosh(x) = (e^x + e^-x)/2: math.cosh(4) = 27.308232836016487, and (math.exp(4)+math.exp(-4))/2 gives the same to machine precision -> 27.308233 at 6 dp	Matched
=ROUND(COSH(EXP(1)),7)	Microsoft's documented worked example: the hyperbolic cosine of e, the base of the natural logarithm	7.6101251	7.6101251 Provenance Microsoft's page publishes this example's result as 7.6101251. Independently derived: math.cosh(math.e) = 7.610125138662288 -> 7.6101251 at 7 dp	Matched
=COSH(0)	The hyperbolic cosine at zero	1	1.0 Provenance From the documented formula (e^0 + e^0)/2 = (1+1)/2 = 1 exactly. cosh is bounded below by 1, so this is also its minimum	Matched
=ROUND(COSH(-4),6)	The hyperbolic cosine of -4, which must equal that of +4	27.308233	27.308233 Provenance cosh is an even function: the documented formula (e^x + e^-x)/2 is unchanged when x is replaced by -x, so COSH(-4) must return exactly the documented COSH(4) value of 27.308233. Verified independently: math.cosh(-4) = 27.308232836016487, bit-identical to math.cosh(4)	Matched

Google Sheets (executed 2026-08-31 via Drive import)

Google Sheets is a rolling service with no pinnable version, so this run is identified by its date. The corpus was imported to Drive as .xlsx, recalculated by Sheets, and exported back for readback.

Formula	Description	Result	Expected	Verdict
=ROUND(COSH(4),6)	Microsoft's documented worked example: the hyperbolic cosine of 4	27.308233	27.308233 Provenance Microsoft's page publishes this example's result as 27.308233. Independently derived from the documented formula cosh(x) = (e^x + e^-x)/2: math.cosh(4) = 27.308232836016487, and (math.exp(4)+math.exp(-4))/2 gives the same to machine precision -> 27.308233 at 6 dp	Matched
=ROUND(COSH(EXP(1)),7)	Microsoft's documented worked example: the hyperbolic cosine of e, the base of the natural logarithm	7.6101251	7.6101251 Provenance Microsoft's page publishes this example's result as 7.6101251. Independently derived: math.cosh(math.e) = 7.610125138662288 -> 7.6101251 at 7 dp	Matched
=COSH(0)	The hyperbolic cosine at zero	1	1.0 Provenance From the documented formula (e^0 + e^0)/2 = (1+1)/2 = 1 exactly. cosh is bounded below by 1, so this is also its minimum	Matched
=ROUND(COSH(-4),6)	The hyperbolic cosine of -4, which must equal that of +4	27.308233	27.308233 Provenance cosh is an even function: the documented formula (e^x + e^-x)/2 is unchanged when x is replaced by -x, so COSH(-4) must return exactly the documented COSH(4) value of 27.308233. Verified independently: math.cosh(-4) = 27.308232836016487, bit-identical to math.cosh(4)	Matched

LibreOffice Calc 25.8.7.3 (tested 2026-08-31)

Formula	Description	Result	Expected	Verdict
=ROUND(COSH(4),6)	Microsoft's documented worked example: the hyperbolic cosine of 4	27.308233	27.308233 Provenance Microsoft's page publishes this example's result as 27.308233. Independently derived from the documented formula cosh(x) = (e^x + e^-x)/2: math.cosh(4) = 27.308232836016487, and (math.exp(4)+math.exp(-4))/2 gives the same to machine precision -> 27.308233 at 6 dp	Matched
=ROUND(COSH(EXP(1)),7)	Microsoft's documented worked example: the hyperbolic cosine of e, the base of the natural logarithm	7.6101251	7.6101251 Provenance Microsoft's page publishes this example's result as 7.6101251. Independently derived: math.cosh(math.e) = 7.610125138662288 -> 7.6101251 at 7 dp	Matched
=COSH(0)	The hyperbolic cosine at zero	1	1.0 Provenance From the documented formula (e^0 + e^0)/2 = (1+1)/2 = 1 exactly. cosh is bounded below by 1, so this is also its minimum	Matched
=ROUND(COSH(-4),6)	The hyperbolic cosine of -4, which must equal that of +4	27.308233	27.308233 Provenance cosh is an even function: the documented formula (e^x + e^-x)/2 is unchanged when x is replaced by -x, so COSH(-4) must return exactly the documented COSH(4) value of 27.308233. Verified independently: math.cosh(-4) = 27.308232836016487, bit-identical to math.cosh(4)	Matched

Docs & syntax

Excel (desktop): official documentation
Google Sheets: official documentation
LibreOffice Calc: official documentation