SIN in Calligra Sheets: Calculate the Sine of an Angle

SIN gives the sine of an angle supplied in radians. Use =SIN(PI()/2) for an expected result of 1 or =SIN(RADIANS(30)) for an expected result of 0.5. The second formula first converts 30 degrees into radians. These are expected mathematical results, not values observed from a native Calligra test.

=SIN(angle)

• angle (required): One numeric expression, floating-point value or reference to a numeric cell representing an angle in radians. No extra parameters or documented defaults; the result is floating-point.
• Return: Dimensionless sine, mathematically between -1 and 1 for real angles. The displayed number of decimals depends on cell formatting. SIN does not accept a degree-unit flag.
• Source: The official KDE stable-KF6 Calligra function handbook documents SIN(Float), shows SIN(0) = 0 and SIN(PI()/2) = 1. KDE’s 26.08.2 source registers SIN in the trig module. These sources were checked 2026-10-11. Inclusion in a release’s source tree does not certify behavior in every separately packaged binary.

Formula/locale details: Start the expression with = when entering a formula cell; the official English handbook displays semicolons between multiple function arguments, although SIN itself takes just one. This tutorial uses a period as the English decimal mark, such as 0.5. In other locales, entry separators, function display and decimal marks may differ. Use the installed Insert → Function picker to check. PI() and RADIANS() are separately documented Calligra functions, not magic syntax variants of SIN.

1. Open an empty sheet and enter the text headers shown in A1 through C1.
2. Enter numeric degree values in B2:B6, not text strings such as "30°".
3. In C2 enter =SIN(RADIANS(B2)) and copy/fill to C6. RADIANS converts degrees to radians before SIN evaluates the angle.
4. Format C2:C6 to six decimal places, if desired; rounding here is for display, not a separate calculation.

Why B6 is positive: 120° lies in quadrant II, where the sine is positive. With a radian input directly, =SIN(PI()/6) should give 0.5. Entering =SIN(30) instead means 30 radians, not 30°, and returns a very different number.

Suppose a movement is 100 units long at 30° above the horizontal. Enter E2 = 100 for length and F2 = 30 for angle in degrees. In G2 enter:

=E2*SIN(RADIANS(F2))

The expected vertical displacement is 50 units. It uses vertical = length × sin(angle); =E2*COS(RADIANS(F2)) would instead return the horizontal component (approximately 86.602540 units). This is useful for surveying, force resolution, graphics and elementary physics. It assumes a standard mathematical angle measured counterclockwise from the positive horizontal axis; a compass bearing or spreadsheet-specific coordinate convention may require an adjustment.

For a signed downward direction, set F2 to -30; the expected vertical component becomes -50. Always use the same angle convention throughout the workbook.

• Wrong unit: SIN takes radians. If source data are degrees, use SIN(RADIANS(cell)) or multiply degrees by PI()/180, rather than using raw degree values.
• Tiny residual instead of zero: Trigonometry uses finite floating-point approximations. SIN(PI()) may produce a small magnitude close to zero instead of exactly 0; for an equality check, compare with a tolerance such as ABS(SIN(PI()))<0.000000001 rather than expecting an exact zero. The actual residual in Calligra 26.08.2 was not tested.
• Text or missing input: Import numeric values as numbers; text containing a degree symbol or unexpected separators may not parse. Do not claim one universal error code for all invalid types.
• Wrong sign: Check whether the angle was entered as clockwise/compass bearing or counterclockwise mathematical angle.
• Unrecognized formula / #VALUE!: Inspect the initial =, function name, parentheses, references and locale; the KDE Simple Sums chapter discusses formula-entry errors.
• Red arrow / truncated display: The KDE manual describes narrow-cell formatting warnings. Increase column width; this need not be a calculation problem.
• Old result: Check automatic recalculation, or use Tools → Recalculate Sheet as described in the manual. Installed UI labels may vary.

The mathematical definition and radian input of SIN agree across Calligra Sheets, Excel and LibreOffice Calc. For example, the official LibreOffice help documents SIN(RADIANS(30)) as 0.5; Microsoft’s documented RADIANS converts degrees to radians. Spreadsheet import/export does not guarantee identical handling of text, floating-point rounding, localized names, or argument separators. Numerical outputs should be compared within a reasonable tolerance after moving a workbook. No cross-application workbook was executed for this guide.

• KDE official SIN syntax and sample, stable KF6 handbook, accessed 2026-10-11.
• KDE official RADIANS reference, degree conversion, accessed 2026-10-11.
• Pinned Calligra 26.08.2 trigonometry source registration, source-only inclusion proof.
• KDE Gear 26.08.2 announcement, released 2026-10-08.
• KDE Simple Sums, formula entry and troubleshooting, checked 2026-10-11.
• LibreOffice Calc trigonometric functions and Microsoft Excel RADIANS reference, cross-software context checked 2026-10-11.

• Calligra Sheets — function documentation
• KDE Simple Sums chapter
• KDE official RADIANS reference
• Pinned Calligra 26.08.2 trigonometry source registration
• KDE Gear 26.08.2 announcement
• LibreOffice Calc trigonometric functions

Verification status: Official documentation checked; example outcomes were independently reasoned or arithmetically checked where applicable. Not executed in Calligra Sheets.

• No genuine Calligra Sheets screenshots are included; this guide does not use mock application images.