Documentation/Calc Functions/ASIN/en

Function name:
ASIN

Category:
Mathematical

Summary:
Calculates the inverse trigonometric sine (arcsine or arcsin) of a real number. The value returned is the principal value and lies in the range [-&pi;/2, &pi;/2] radians.

Syntax:
ASIN(Number)

Returns:
Returns a real number in the range [-&pi;/2, &pi;/2] that is the inverse trigonometric sine of Number in radians.

Arguments:
Number is a real number in the range [-1, 1], or a reference to a cell containing that number, whose inverse trigonometric sine is to be calculated.


 * If Number is non-numeric, then ASIN reports a #VALUE! error.


 * If Number lies outside the range [-1, 1], then ASIN reports a #NUM! error.

Additional details:
The formula for the inverse trigonometric sine of x is: $$\arcsin(x) ~=~ \sum_{n=0}^{\infty } \left ( \frac{(2n)!}{2^{2n}(n!)^2(2n+1)} \right )x^{2n+1}$$
 * To return the angle in degrees, use the DEGREES function.
 * Alternatively multiply by 180/PI to convert the result from radians to degrees.

The figure below illustrates the function ASIN.

Related LibreOffice functions:
ACOS

ACOT

ATAN

ATAN2

SIN

ODF standard:
Section 6.16.7, part 2

Equivalent Excel functions:
ASIN