Difference between revisions of "Manuals/calci/DCOTAN"

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<div style="font-size:30px">'''DCOTAN(x)'''</div><br/>
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<div style="font-size:30px">'''DCOTAN(Number)'''</div><br/>
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* where '''x''' is the angle in Radians
+
* '''Number''' is the angle in Degrees.
−
* by default Calci use Radian as angle
+
**DCOTAN(),returns the double-precision cotangent of the given angle.
−
[[Manuals/calci/COTAN| COTAN]] can be used if the angle is in Radians.  
+
 
 +
[[Manuals/calci/COTAN| COTAN]] can be used if the angle is in Radians.<br/>
 +
The angle can be a single value or any complex array of values.<br/>
 +
For example DCOTAN(1..100) can give an array of the results, which is the COTAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DCOTAN or (-5)..(-1)@DCOTAN.  
  
 
==Description==
 
==Description==
 
*This function is used to obtain the Cotangent value of 'x' in degrees.<br/>
 
*This function is used to obtain the Cotangent value of 'x' in degrees.<br/>
−
*It is the reciprocal of TAN function i.e.,'''Cotan(x)'''='''1/Tan(x)''' or '''Cos(x)/Sin(x)'''.<br/>
+
*It is the reciprocal of TAN function i.e, '''Cotan(x)''' = '''1 / Tan(x)''' or '''Cos(x) / Sin(x)'''.<br/>
 
*In a right angled triangle '''Cotan(x) = Adjacent side / Opposite side'''.<br/>
 
*In a right angled triangle '''Cotan(x) = Adjacent side / Opposite side'''.<br/>
−
*To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN(X)
+
*To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN(x)
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*DCOTAN returns NaN if n is not real
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*DCOTAN returns NaN if 'x' is not real
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The angle can be a single value or any complex array of values.
 
  
−
The following example shows how COTAN is applied to an array of numbers containing numbers 1..10.
+
The following example shows how COTAN is applied to an array of numbers containing angles 1..10.
 
*Type =1..10@DCOTAN in Calci
 
*Type =1..10@DCOTAN in Calci
 
*Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS
 
*Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS
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{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
−
! Number !! DCOTAN
+
! Angles !! DCOTAN
 
|-
 
|-
 
| 1 || 0.642092616
 
| 1 || 0.642092616
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== Examples ==
 
== Examples ==
 
'''DCOTAN(x)'''
 
'''DCOTAN(x)'''
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*'''x  ''' is the angle in radians.
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*'''x  ''' is the angle in degrees.
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* COTAN(-X)=-COTAN(X)
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* COTAN(-x)=-COTAN(x)
 +
* Result shows COTAN(abc)= NAN
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
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|'''DCOTAN(Radian)'''
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|'''DCOTAN(Degrees)'''
 
|'''Value'''
 
|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
 
| DCOTAN (100)
 
| DCOTAN (100)
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| 0.1762698070846492
+
| -0.1762698070846492
  
 
|- class="even"
 
|- class="even"
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|- class="odd"
 
|- class="odd"
 
| DCOTAN (-20)
 
| DCOTAN (-20)
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| 2.7474774194546225
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| -2.7474774194546225
  
 
|}
 
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|Kz6tCMgat94|280|center|Trig Function Values in Degrees}}
  
 
==See Also==
 
==See Also==
  
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*[[Manuals/calci/DSIN | DSIN]]
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*[[Manuals/calci/TAN | TAN]]
−
 
+
*[[Manuals/calci/DTAN | DTAN]]
 +
*[[Manuals/calci/TANH | TANH]]
 
*[[Manuals/calci/ASIN | ASIN]]
 
*[[Manuals/calci/ASIN | ASIN]]
  
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
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*[http://en.wikipedia.org/wiki/Sine SIN]
 
−
 
−
 
−
 
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Lets see an example in (Column2Row1)
 
−
 
−
 
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Returns 1.91754 for DCOTAN(40)
 
  
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Consider another example in (Column2Row2)
 
  
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Returns NaN for DCOTAN("abc")
 
  
 +
*[[Z_API_Functions | List of Main Z Functions]]
  
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{| id="TABLE3" class="SpreadSheet blue"
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*[[ Z3 |  Z3 home ]]
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|+ Default Calci
 
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|- class="even"
 
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| class=" " |
 
−
| Column1
 
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| Column2
 
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| Column3
 
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| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| 40
 
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| class="sshl_f          1" | 1.191754
 
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| class="          sshl_f  sshl_f" |
 
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| class="                                                          sshl_f  sshl_f" |
 
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|- class="even"
 
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| class="  " | Row2
 
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| abc
 
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| class="sshl_f" | NaN
 
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| class=" sshl_f" |
 
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| class="sshl_f  sshl_f" |
 
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|- class="odd"
 
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| Row3
 
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|
 
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| class="                      sshl_f  sshl_f SelectTD1 ChangeBGColor SelectTD1" |
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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| class="sshl_f  " |
 
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| class="sshl_f" |
 
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|- class="even"
 
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| Row4
 
−
|
 
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| class=" sshl_f" |
 
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| class="sshl_f" |
 
−
|
 
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|- class="odd"
 
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| class=" " | Row5
 
−
|
 
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| class=" sshl_f" |
 
−
| class="sshl_f" |
 
−
|
 
−
|- class="even"
 
−
| Row6
 
−
|
 
−
|
 
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| class="sshl_f" |
 
−
|
 
−
|}
 

Latest revision as of 16:17, 25 June 2018

DCOTAN(Number)


  • Number is the angle in Degrees.
    • DCOTAN(),returns the double-precision cotangent of the given angle.

COTAN can be used if the angle is in Radians.
The angle can be a single value or any complex array of values.
For example DCOTAN(1..100) can give an array of the results, which is the COTAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DCOTAN or (-5)..(-1)@DCOTAN.

Description

  • This function is used to obtain the Cotangent value of 'x' in degrees.
  • It is the reciprocal of TAN function i.e, Cotan(x) = 1 / Tan(x) or Cos(x) / Sin(x).
  • In a right angled triangle Cotan(x) = Adjacent side / Opposite side.
  • To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN(x)
  • DCOTAN returns NaN if 'x' is not real

The following example shows how COTAN is applied to an array of numbers containing angles 1..10.

  • Type =1..10@DCOTAN in Calci
  • Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS
Angles DCOTAN
1 0.642092616
2 -0.457657554
3 -7.015252551
4 0.863691154
5 -0.295812916
6 -3.436353004
7 1.147515422
8 -0.147065064
9 -2.210845411
10 1.542351045

Examples

DCOTAN(x)

  • x   is the angle in degrees.
  • COTAN(-x)=-COTAN(x)
  • Result shows COTAN(abc)= NAN
DCOTAN(Degrees) Value
DCOTAN (100) -0.1762698070846492
DCOTAN (20) 2.7474774194546225
DCOTAN (-20) -2.7474774194546225

Related Videos

Trig Function Values in Degrees

See Also

References


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