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