# _ASIN

The _ASIN function returns the angle measured in radians based on an input SINe value ranging from -1 to 1.

## Description

• The sine_value! must be measured >= -1 and <= 1, or else it will generate a return value of -1.#IND, which is basically QB64's way of telling us that the number doesn't exist.
• ARCSINE is the inverse function of SINe, and turns a SINe value back into an angle.
• Note: Due to rounding with floating point math, the _ASIN may not always give a perfect match for the SIN angle which generated this. You can reduce the number of rounding errors by increasing the precision of your calculations by using DOUBLE or _FLOAT precision variables instead of SINGLE.

## Availability

• Version 1.000 and up

## Examples

Example: Converting a radian angle to its SINe and using that value to find the angle in degrees again using _ASIN:

DEFDBL A-Z INPUT "Give me an Angle (in Degrees) => "; Angle PRINT C = SIN(_D2R(Angle)) '_D2R is the command to convert Degrees to Radians, which is what SIN expects PRINT "The SINE of the Angle is: "; C A = _ASIN(C) PRINT "The ASIN of "; C; " is: "; A PRINT "Notice, A is the Angle in Radians. If we convert it to degrees, the value is "; _R2D(A)

Example by SMcNeill

Give me an Angle (in Degrees) => ? 60 The SINE of the Angle is: .8660254037844386 The ACOS of .8660254037844386 is: 1.047197551196598 Notice, A is the Angle in Radians. If we convert it to degrees, we discover the value is 60