SIN Function (OpenOffice Calc)

Math Beginner OpenOffice Calc Introduced in OpenOffice.org 3.0
trigonometry sine radians periodic math

The SIN function in OpenOffice Calc returns the sine of an angle (in radians). Learn syntax, degree conversion, examples, and best practices.

Compatibility

What the SIN Function Does

  • Computes the sine of an angle
  • Angle must be in radians
  • Useful for geometry, waves, oscillations, and rotations
  • Works across sheets
  • Pairs naturally with COS, TAN, and PI

SIN is ideal when you need periodic or angular calculations.

Syntax

SIN(number)

Arguments:

  • number — Angle in radians
If your angle is in degrees, convert it using:
Degrees * PI() / 180

Basic Examples

Sine of an angle in radians

=SIN(PI() / 2)

Result: 1

Sine of 30 degrees

=SIN(30 * PI() / 180)

Result: 0.5

Sine using a cell reference

=SIN(A1)

(Assumes A1 is in radians.)

Convert degrees to radians inside SIN

=SIN(RADIANS(A1))

Advanced Examples

Sine wave function

=SIN(2 * PI() * Frequency * Time)

Damped sine wave

=EXP(-Decay * Time) * SIN(2 * PI() * Frequency * Time)

Triangle rotation (polar to Cartesian)

X:

=Radius * COS(AngleRadians)

Y:

=Radius * SIN(AngleRadians)

Oscillation model

=Amplitude * SIN(2 * PI() * t / Period)

SIN across sheets

=SIN(Sheet1.A1)

SIN in array formulas

=SIN(A1:A10)

Confirm with Ctrl+Shift+Enter.

Sine of a sum (wave interference)

=SIN(A1 + A2)

Sine for animation steps

=SIN(ROW() / 10)

Common Errors and Fixes

SIN returns unexpected values

Almost always caused by:

  • Using degrees instead of radians
  • Forgetting to convert: Degrees * PI() / 180
  • Incorrect parentheses

SIN returns Err:502 (Invalid argument)

Occurs when:

  • Input is text
  • Input is empty
  • A malformed reference is used

SIN ignores values you expected it to include

SIN ignores:

  • Text numbers ("123")
  • Empty cells
  • Logical values
  • Errors

SIN includes values you expected it to ignore

SIN includes:

  • Dates
  • Times
  • Numeric results of formulas

Err:508 — Missing parenthesis

Usually caused by:

  • Missing )
  • Using commas instead of semicolons

Best Practices

  • Always convert degrees to radians
  • Use SIN for waves, rotations, and periodic behavior
  • Use named ranges for angles and frequencies
  • Keep parentheses clean in multi‑step trig formulas
  • Pair SIN with COS for coordinate transformations
If your angle is in degrees, always multiply by PI()/180 — this is the #1 source of trig errors in Calc.

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