Documentation/Calc Functions/SIN
TDF LibreOffice Document Liberation Project Community Blogs Weblate Nextcloud Redmine Ask LibreOffice Donate
Function name:
SIN
Category:
Mathematical
Summary:
Calculates the trigonometric sine (sin) of an angle expressed in radians.
Syntax:
SIN(Number)
Returns:
Returns a real number in the range [-1, 1] that is the trigonometric sine of the specified angle.
Arguments:
Number is a real number, or a reference to a cell containing that number, that is the angle in radians whose trigonometric sine is to be calculated.
- If Number is non-numeric, then SIN reports a #VALUE! error.
Additional details:
If your angle is expressed in degrees, either multiply by PI()/180 or use the RADIANS function to convert to radians.
The formula for the trigonometric sine of x is:
[math]\displaystyle{ \sin(x)~=~\sum_{n=0}^{\infty }\frac{(-1)^{n}}{(2n+1)!}~x^{2n+1} }[/math]
The figure below illustrates the function SIN.
Examples:
| Formula | Description | Returns |
|---|---|---|
| =SIN(1) | Trigonometric sine of 1 radian. | 0.841470984807896 |
| =SIN(D1) where cell D1 contains the number -0.5. | Trigonometric sine of -½ radian. | −0.479425538604203 |
| =SIN(PI()/2) | Trigonometric sine of π/2 radians. | 1 |
| =SIN(RADIANS(30)) | Trigonometric sine of 30°, after first converting the angle from degrees to radians. | 0.5 |
| =DEGREES(ASIN(SIN(RADIANS(60))) | An angle of 60° is converted to radians, its sine is taken, then the inverse sine of that value is calculated, and finally the result is converted back to degrees. | 60 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
SIN