Documentation/Calc Functions/ACOS
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Function name:
ACOS
Category:
Mathematical
Summary:
Returns the inverse trigonometric cosine (the arccosine) of a number. This function calculates the principal value.
Syntax:
ACOS(Number)
Returns:
This function returns the inverse trigonometric cosine of Number, that is the angle (in radians) whose cosine is Number. The angle returned is between 0 and PI, i.e. [0,π].
Arguments:
Number is the real number, or a reference to a cell containing that number, between -1 and +1, whose inverse trigonometric cosine value is to be calculated.
If the value of Number is outside this range, the function 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 ACOS.
Examples:
Formula | Description | Returns |
---|---|---|
=ACOS(-1) | Inverse trigonometric cosine of -1 | 3.14159265358979 (PI radians or π) |
=ACOS(0.5) | Inverse trigonometric cosine of 0.5 | 1.0471975511966 (radians) |
=DEGREES(ACOS(0.5)) | Inverse trigonometric cosine of 0.5. Further, converting angle in radians to degrees. | 60° (degrees) |
=ACOS(-0.5)*180/PI() | Inverse trigonometric cosine of -0.5. Further, converting angle in radians to degrees by multiplying by 180/PI(). | 120° (degrees) |
=ACOS(2) | Inverse trigonometric cosine 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:
ACOS