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54 lines
2.6 KiB
Plaintext
54 lines
2.6 KiB
Plaintext
{{DISPLAYTITLE:_ACOS}}
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The [[_ACOS]] function returns the angle measured in radians based on an input [[COS]]ine value ranging from -1 to 1.
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{{PageSyntax}}
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: {{Parameter|radian_angle!}} = [[_ACOS]]({{Parameter|cosine_value!}})
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{{PageDescription}}
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* The ''cosine_value!'' must be measured >= -1 and <= 1, or an error will be generated. (PRINT _ACOS(1.2) would give the result of -1.#IND, which is basically QB64's way of telling us that the number doesn't exist, much like 1/0 would.)
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* ARCCOSINE is the inverse function of [[COS]]ine, which lets us turn a [[COS]]ine value back into an angle.
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* Note: Due to rounding with floating point math, the _ACOS may not always give a perfect match for the COS 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 COSine and using that value to find the angle in degrees again using _ACOS:
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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|COS}}({{Cl|_D2R}}(Angle)) '_D2R is the command to convert Degrees to Radians, which is what COS expects
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{{Cl|PRINT}} "The COSINE of the Angle is: "; C
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A = {{Cl|_ACOS}}(C)
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{{Cl|PRINT}} "The ACOS 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 COSINE of the Angle is: .5000000000000001
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The ACOS of .5000000000000001 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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* [[_ASIN]] {{text|(arc sine)}}, [[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}} |