Difference between revisions of "ASIN"

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imported>SMcNeill
(Created page with '{{DISPLAYTITLE:_ASIN}} The '''_ASIN''' function returns the angle measured in radians based on an input SINe value ranging from -1 to 1. {{PageSyntax}} ::::: radian_angle!…')
 
imported>SMcNeill
Line 39: Line 39:
* [[_D2G]] {{text|(degree to gradient}}, [[_D2R]] {{text|(degree to radian)}}
* [[_D2G]] {{text|(degree to gradient}}, [[_D2R]] {{text|(degree to radian)}}
* [[_G2D]] {{text|(gradient to degree)}}, [[_G2R]] {{text|(gradient to degree}}
* [[_G2D]] {{text|(gradient to degree)}}, [[_G2R]] {{text|(gradient to degree}}
* [[_R2D]] {{text|(radian to degree)}}, [[_RDG]] {{text|(radian to gradient}}
* [[_R2D]] {{text|(radian to degree)}}, [[_R2G]] {{text|(radian to gradient}}
* [[COS]] {{text|(cosine)}}, [[SIN]] {{text|(sine)}}, [[TAN]] {{text|(tangent)}}
* [[COS]] {{text|(cosine)}}, [[SIN]] {{text|(sine)}}, [[TAN]] {{text|(tangent)}}
* [[_ACOS]] {{text|(arc cosine)}}, [[_ASIN]] {{text|(arc sine)}}, [[ATN]] {{text|(arc tangent)}}
* [[_ACOS]] {{text|(arc cosine)}}, [[_ASIN]] {{text|(arc sine)}}, [[ATN]] {{text|(arc tangent)}}
* [[_ACOSH]] {{text|(arc hyperbolic  cosine)}}, [[_ASINH]] {{text|(arc hyperbolic  sine)}}, [[ATNH]] {{text|(arc hyperbolic  tangent)}}
* [[_ACOSH]] {{text|(arc hyperbolic  cosine)}}, [[_ASINH]] {{text|(arc hyperbolic  sine)}}, [[_ATANH]] {{text|(arc hyperbolic  tangent)}}
* [[_ATAN2]] {{text|(Compute arc tangent with two parameters)}}
* [[_ATAN2]] {{text|(Compute arc tangent with two parameters)}}
* [[_HYPOT]] {{text|(hypotenuse)}}
* [[_HYPOT]] {{text|(hypotenuse)}}

Revision as of 20:06, 10 July 2014

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


Syntax

radian_angle! = _ASIN(sine_value!)


  • 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.
  • (Only available in QB64-GL, from Dirty Builds after 06/20/2014. Previous versions of QB64 don't support this command.)


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


See also:



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