Difference between revisions of "LlAcos"

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(Corrected invalid misleading comment. Tested.)
(added an example, applying "the law of cosines")
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         llOwnerSay("The arccosine of " + (string)random + " is " + (string)llAcos(random));
         llOwnerSay("The arccosine of " + (string)random + " is " + (string)llAcos(random));
    }
}
</lsl>
<lsl>
//An example for the Law of Cosines to calculate any angle of a triangle from 3 known side lengths.
default
{
    touch_start(integer num_detected)
    {       
        vector t=< llFrand(9.0)+1.0 , llFrand(9.0)+1.0 , llFrand(9.0)+1.0 >; //the 3 values of this vector are used to set the lengths of 3 sides of a triangle.
        float anglexy=llAcos( (t.x*t.x+t.y*t.y-(t.z*t.z)) / ( 2*t.x*t.y) ) //Law Of Cosines
        llOwnerSay("Using the Law Of Cosines, the angle of a triangle between side a="+(string)t.x+"and side b="+(string)t.y+"is = "+(string)anglexy+" radians="+(string)(anglexy*RAD_TO_DEG)+"° and that angle is not on side c="+(string)t.z);
     }
     }
}
}

Revision as of 15:55, 30 August 2014

Summary

Function: float llAcos( float val );

Returns a float that is the arccosine in radians of val

• float val must fall in the range [-1.0, 1.0]

The returned value is in the range [0.0, PI][1]

Examples

<lsl> // This example exercises the full valid range of argument from -1.0 to +1.0

default {

   touch_start(integer num_detected)
   {
       float random = llFrand(2.0) - 1.0;
       llOwnerSay("The arccosine of " + (string)random + " is " + (string)llAcos(random));
   }

} </lsl>

<lsl> //An example for the Law of Cosines to calculate any angle of a triangle from 3 known side lengths.

default {

   touch_start(integer num_detected)
   {        
       vector t=< llFrand(9.0)+1.0 , llFrand(9.0)+1.0 , llFrand(9.0)+1.0 >; //the 3 values of this vector are used to set the lengths of 3 sides of a triangle.
       float anglexy=llAcos( (t.x*t.x+t.y*t.y-(t.z*t.z)) / ( 2*t.x*t.y) ) //Law Of Cosines
       llOwnerSay("Using the Law Of Cosines, the angle of a triangle between side a="+(string)t.x+"and side b="+(string)t.y+"is = "+(string)anglexy+" radians="+(string)(anglexy*RAD_TO_DEG)+"° and that angle is not on side c="+(string)t.z);
   }

}

</lsl>

See Also

Functions

• llSin llAsin sine & inverse Sine
• llCos cosine
• llTan llAtan2 tangent & inverse tangent

Articles

•  "Wikipedia logo"Inverse trigonometric function

Deep Notes

Search JIRA for related Issues

Footnotes

  1. ^ The ranges in this article are written in Interval Notation.

Signature

function float llAcos( float val );