Difference between revisions of "Manuals/calci/ACOS"

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<div style="font-size:30px">'''ACOS(x)'''</div><br/>
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<div style="font-size:30px">'''ACOS(Number)'''</div><br/>
* where '''x''' is in Radians
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* <math>Number</math> is any value and it is varying from -1 to 1.
* by default Calci use Radian as angle
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**ACOS() returns the arccosine of a number.
 
 
[[Manuals/calci/ACOS | ACOS]] can be used if the angle is in degrees.
 
 
 
The angle can be a single value or any complex array of values.
 
 
 
For example ACOS(1..100) can give an array of the results, which is the ACOS value for each of the elements in the array. The array could be of any shape.  
 
  
 
==Description==
 
==Description==
Consider &nbsp;&nbsp;&nbsp; '''x = 90'''&nbsp;&nbsp;&nbsp;  then &nbsp;&nbsp;&nbsp;  '''=TAN(RADIANS(90))'''&nbsp;&nbsp;&nbsp; gives &nbsp;&nbsp;&nbsp;'''1''' <br/>
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*This function is the inverse function of COS in trigonometry.
This function is the inverse function of cos in trignometry,and also it is called as cyclometric function.ACOS is described as arcCOS and denoted by cos-1 (x).In  ACOS(X) ,x value should be with in -1&1.Here x is in radians. To convert a degree value to radian, multiply 'x' with PI()/180 or use the radians function RADIANS(X)
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* The value of ACOS(Number)  in radians in the range 0 to pi().
 
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*Calci returns the value of arccosine (inverse cosine) in Radians.
The following example shows how ACOS is applied to an array of numbers containing numbers 1..10.
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*The number can be a single value or any number of values.
 
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For example, ACOS(0.5,(-0.2),1) gives the arcCOS or inverseCOS values for each element.
1..10@ACOS
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*Consider &nbsp;&nbsp;&nbsp; '''x = 0.8'''&nbsp;&nbsp;&nbsp;  then &nbsp;&nbsp;&nbsp;  '''=ACOS(0.8)'''&nbsp;&nbsp;&nbsp; gives &nbsp;&nbsp;&nbsp;'''0.64350110879''' <br/>
 
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*Also it is called as Cyclometric function.  
{| class="wikitable"
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*ACOS is described as arcCOS of a given number and denoted by <math>cos^{-1}(x)</math>.
|-
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*In  ACOS(x), x value should be between -1 & 1.
! Number !! ACOS
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*To find the angle in degrees, multiply the result angle with 180/PI(), or use DEGREES function.<br/>
|-
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For example ACOS(0.5)*180/PI() or DEGREES(ACOS(0.5))'' gives 60
| 1 || 1.55740772465
 
|-
 
| 2 || -2.18503986326
 
|-
 
| 3 || -0.14254654307
 
|-
 
| 4 || 1.15782128235
 
|-
 
| 5 ||-3.38051500625
 
|-
 
| 6 || -0.29100619138
 
|-
 
| 7 || 0.87144798272
 
|-
 
| 8 || -6.79971145522
 
|-
 
| 9 || -0.45231565944
 
|-
 
| 10 || 0.64836082745
 
|}
 
  
 
== Examples ==
 
== Examples ==
'''TAN(x)'''
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'''ACOS(x)'''
*'''x  ''' is the angle in radians.
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*'''x  ''' is the number
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
|'''TAN(Radian)'''
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|'''ACOS(number)'''
|'''Value'''
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|'''Angle(radians)'''
  
 
|- class="odd"
 
|- class="odd"
| TAN(0)
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| ACOS(0)
| 0
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| 1.57079632
  
 
|- class="even"
 
|- class="even"
| TAN(1)
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| ACOS(1)
| 1.55740772465
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| 0
  
|- class="odd"
+
|}
|TAN(90)
 
| -1.99520041221
 
  
|}
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==Related Videos==
  
 +
{{#ev:youtube|eTDaJ4ebK28|280|center|Inverse Cosine}}
  
 
==See Also==
 
==See Also==
  
*[[Manuals/calci/DTAN | DTAN]]
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*[[Manuals/calci/COS | COS]]
 +
 
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*[[Manuals/calci/DCOS | DCOS]]
  
*[[Manuals/calci/ATAN | ATAN]]
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*[[Manuals/calci/COSH | COSH]]
  
 
==References==
 
==References==
  
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
*[http://en.wikipedia.org/wiki/Sine TAN]
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 +
 
 +
 
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 17:27, 13 August 2018

ACOS(Number)


  • is any value and it is varying from -1 to 1.
    • ACOS() returns the arccosine of a number.

Description

  • This function is the inverse function of COS in trigonometry.
  • The value of ACOS(Number) in radians in the range 0 to pi().
  • Calci returns the value of arccosine (inverse cosine) in Radians.
  • The number can be a single value or any number of values.

For example, ACOS(0.5,(-0.2),1) gives the arcCOS or inverseCOS values for each element.

  • Consider     x = 0.8    then     =ACOS(0.8)    gives    0.64350110879
  • Also it is called as Cyclometric function.
  • ACOS is described as arcCOS of a given number and denoted by .
  • In ACOS(x), x value should be between -1 & 1.
  • To find the angle in degrees, multiply the result angle with 180/PI(), or use DEGREES function.

For example ACOS(0.5)*180/PI() or DEGREES(ACOS(0.5)) gives 60

Examples

ACOS(x)

  • x   is the number
ACOS(number) Angle(radians)
ACOS(0) 1.57079632
ACOS(1) 0

Related Videos

Inverse Cosine

See Also

References