ASIN: Difference between revisions

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{{PageDescription}}
{{PageDescription}}
* The {{Parameter|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.
* The {{Parameter|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 [[SIN]]e, and turns a [[SIN]]e value back into an angle.
* ARCSINE is the inverse function of [[SIN]]e, and turns a [[SIN]]e 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]].
* 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]].
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{{PageExamples}}
{{PageExamples}}
''Example:'' Converting a radian angle to its SINe and using that value to find the angle in degrees again using _ASIN:
''Example:'' Converting a radian angle to its SINe and using that value to find the angle in degrees again using _ASIN:
{{CodeStart}}
{{CodeStart}} '' ''
{{Cl|DEFDBL}} A-Z
{{Cl|DEFDBL}} A-Z


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A = {{Cl|_ASIN}}(C)
A = {{Cl|_ASIN}}(C)
{{Cl|PRINT}} "The ASIN of "; C; " is: "; A
{{Cl|PRINT}} "The ASIN of "; C; " is: "; A
{{Cl|PRINT}} "Notice, A is the Angle in Radians.  If we convert it to degrees, the value is "; {{Cl|_R2D}}(A)
{{Cl|PRINT}} "Notice, A is the Angle in Radians.  If we convert it to degrees, the value is "; {{Cl|_R2D}}(A) '' ''
{{CodeEnd}}
{{CodeEnd}}
{{small|Example by SMcNeill}}
{{small|Example by SMcNeill}}

Revision as of 23:14, 22 January 2023

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!)


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


See also


Navigation:
Main Page with Articles and Tutorials
Keyword Reference - Alphabetical
Keyword Reference - By usage
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