# Documentation/Calc Functions/ASIN

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## Function name:

ASIN

## Category:

Mathematical

## Summary:

Returns the inverse trigonometric sine (the arcsine) of a number. This function calculates the principal value.

## Syntax:

ASIN(**Number**)

## Returns:

This function returns the inverse trigonometric sine of **Number**, that is the angle (in radians) whose sine is **Number**. The angle returned is between -PI/2 and +PI/2, i.e. [-π/2,+π/2].

## Arguments:

**Number** is the real number, or a reference to a cell containing that number, must be from -1 to 1, whose inverse trigonometric sine value is to be calculated.

If the value of **Number** is outside this range, it returns an invalid numeric value (#NUM!) error.

## Additional details:

- To return the angle in degrees, use the DEGREES function.
- Alternatively multiply by 180/PI() to convert the result from radians to degrees.

The GIF below illustrates the function ASIN.

## Examples:

Formula | Description | Returns |
---|---|---|

=ASIN(0) | Inverse trigonometric sine of 0 | 0 (radians) |

=ASIN(1) | Inverse trigonometric sine of 1 | 1.5707963267949 (PI/2 radians or π/2) |

=DEGREES(ASIN(0.5)) | Inverse trigonometric sine of 0.5. Further, converting angle in radians to degrees. | 30° (degrees) |

=ASIN(-0.5)*180/PI() | Inverse trigonometric sine of -0.5. Further, converting angle in radians to degrees by multiplying by 180/PI(). | -30° (degrees) |

=ASIN(2) | Inverse trigonometric sine of 2 will return an invalid numeric value (#NUM!) error because 2 is out of its domain. | #NUM! |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

ASIN