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57 lines
2.5 KiB
Plaintext
57 lines
2.5 KiB
Plaintext
{{DISPLAYTITLE:_ASIN}}
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The [[_ASIN]] function returns the angle measured in radians based on an input [[SIN]]e value ranging from -1 to 1.
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{{PageSyntax}}
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: {{Parameter|radian_angle!}} = [[_ASIN]]({{Parameter|sine_value!}})
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{{PageDescription}}
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* 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.
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* ARCSINE is the inverse function of [[SIN]]e, and turns a [[SIN]]e value back into an angle.
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* 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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==Availability==
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* '''Version 1.000 and up'''
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{{PageExamples}}
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''Example:'' Converting a radian angle to its SINe and using that value to find the angle in degrees again using _ASIN:
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{{CodeStart}} '' ''
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{{Cl|DEFDBL}} A-Z
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{{Cl|INPUT}} "Give me an Angle (in Degrees) => "; Angle
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{{Cl|PRINT}}
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C = {{Cl|SIN}}({{Cl|_D2R}}(Angle)) '_D2R is the command to convert Degrees to Radians, which is what SIN expects
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{{Cl|PRINT}} "The SINE of the Angle is: "; C
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A = {{Cl|_ASIN}}(C)
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{{Cl|PRINT}} "The ASIN of "; C; " is: "; A
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{{Cl|PRINT}} "Notice, A is the Angle in Radians. If we convert it to degrees, the value is "; {{Cl|_R2D}}(A) '' ''
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{{CodeEnd}}
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{{small|Example by SMcNeill}}
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{{OutputStart}}
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Give me an Angle (in Degrees) => ? 60
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The SINE of the Angle is: .8660254037844386
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The ACOS of .8660254037844386 is: 1.047197551196598
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Notice, A is the Angle in Radians. If we convert it to degrees, we discover the value is 60
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{{OutputEnd}}
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{{PageSeeAlso}}
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* [[_D2G]] {{text|(degree to gradient}}, [[_D2R]] {{text|(degree to radian)}}
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* [[_G2D]] {{text|(gradient to degree)}}, [[_G2R]] {{text|(gradient to degree}}
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* [[_R2D]] {{text|(radian to degree)}}, [[_R2G]] {{text|(radian to gradient}}
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* [[COS]] {{text|(cosine)}}, [[SIN]] {{text|(sine)}}, [[TAN]] {{text|(tangent)}}
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* [[_ACOS]] {{text|(arc cosine)}}, [[ATN]] {{text|(arc tangent)}}
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* [[_ACOSH]] {{text|(arc hyperbolic cosine)}}, [[_ASINH]] {{text|(arc hyperbolic sine)}}, [[_ATANH]] {{text|(arc hyperbolic tangent)}}
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* [[_ATAN2]] {{text|(Compute arc tangent with two parameters)}}
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* [[_HYPOT]] {{text|(hypotenuse)}}
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*[[Mathematical Operations]]
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*[[Mathematical_Operations#Derived_Mathematical_Functions|Derived Mathematical Functions]]
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{{PageNavigation}}
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