# @Sin (Formula Language)

Given an angle in radians, returns the sine of the angle. In a right triangle, the sine of an acute angle is the ratio of the length of its opposite side to the length of the hypotenuse.

@Sin( angle )

## Parameters

angle

Number or number list. An angle expressed in radians.

## Return value

sine

Number or number list. The sine of angle, to 15 decimal places.

## Usage

If the parameter is a list, the function operates on each element of the list, and the return value is a list with the same number of elements.

## Examples

1. This formula returns 1, the sine of the angle Pi/2 (90 degrees).
``@Sin( @Pi/2 )``
2. You have a triangle ABC. You know the value of angle A in radians, and the lengths of sides a and b. This formula finds angle B, in radians. This formula is a version of the law of sines, which states that for any triangle ABC, (sin A / a) = (sin B / b) = (sin C / c).
``@ASin( ( sideB *( @Sin( angleA ) ) ) / sideA )``
3. This formula returns 1 and -1 in a list.
``@Sin((@Pi / 2) : (@Pi / -2))``