ACOS: Difference between revisions
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{{PageDescription}} | {{PageDescription}} | ||
* 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.) | * 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.) | ||
* ARCCOSINE is the inverse function of [[COS]]ine, which lets us turn a [[COS]]ine value back into an angle. | * ARCCOSINE is the inverse function of [[COS]]ine, which lets us turn a [[COS]]ine value back into an angle. | ||
* 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]]. | * 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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{{PageExamples}} | {{PageExamples}} | ||
''Example:'' Converting a radian angle to its COSine and using that value to find the angle in degrees again using _ACOS: | ''Example:'' Converting a radian angle to its COSine and using that value to find the angle in degrees again using _ACOS: | ||
{{CodeStart}} | {{CodeStart}} '' '' | ||
{{Cl|DEFDBL}} A-Z | {{Cl|DEFDBL}} A-Z | ||
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A = {{Cl|_ACOS}}(C) | A = {{Cl|_ACOS}}(C) | ||
{{Cl|PRINT}} "The ACOS of "; C; " is: "; A | {{Cl|PRINT}} "The ACOS 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 18:13, 22 January 2023
The _ACOS function returns the angle measured in radians based on an input COSine value ranging from -1 to 1.
Syntax
- radian_angle! = _ACOS(cosine_value!)
Description
- 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.)
- ARCCOSINE is the inverse function of COSine, which lets us turn a COSine value back into an angle.
- 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.
Availability
- Version 1.000 and up.
Examples
Example: Converting a radian angle to its COSine and using that value to find the angle in degrees again using _ACOS:
DEFDBL A-Z INPUT "Give me an Angle (in Degrees) => "; Angle PRINT C = COS(_D2R(Angle)) '_D2R is the command to convert Degrees to Radians, which is what COS expects PRINT "The COSINE of the Angle is: "; C A = _ACOS(C) PRINT "The ACOS of "; C; " is: "; A PRINT "Notice, A is the Angle in Radians. If we convert it to degrees, the value is "; _R2D(A) |
Give me an Angle (in Degrees) => ? 60 The COSINE of the Angle is: .5000000000000001 The ACOS of .5000000000000001 is: 1.047197551196598 Notice, A is the Angle in Radians. If we convert it to degrees, we discover the value is 60 |
See also
- _D2G (degree to gradient, _D2R (degree to radian)
- _G2D (gradient to degree), _G2R (gradient to degree
- _R2D (radian to degree), _R2G (radian to gradient
- COS (cosine), SIN (sine), TAN (tangent)
- _ASIN (arc sine), ATN (arc tangent)
- _ACOSH (arc hyperbolic cosine), _ASINH (arc hyperbolic sine), _ATANH (arc hyperbolic tangent)
- _ATAN2 (Compute arc tangent with two parameters)
- _HYPOT (hypotenuse)
- Mathematical Operations
- Derived Mathematical Functions