Difference between revisions of "Manuals/calci/DTAN"

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<div style="font-size:30px">'''DCOTAN(x)'''</div><br/>
+
<div style="font-size:30px">'''DTAN(Number)'''</div><br/>
−
* where '''x''' is the angle in Radians
+
*'''Number''' is the angle in Degrees.
−
* by default Calci use Radian as angle
+
**DTAN(),returns the double-precision tangent of given angle.
−
[[Manuals/calci/COTAN| COTAN]] can be used if the angle is in Radians.  
+
 
 +
[[Manuals/calci/TAN| TAN]] 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 DTAN(1..100) can give an array of the results, which is the TAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DTAN or (-5)..(-1)@DTAN.
 +
 
  
 
==Description==
 
==Description==
−
*This function is used to obtain the Cotangent value of 'x' in degrees.<br/>
+
*In a right angled triangle, '''TAN = Opposite side / Adjacent side''' or '''SIN / COS'''.<br/>
−
*It is the reciprocal of TAN function i.e.,'''Cotan(x)''' = '''1 / Tan(x)''' or '''Cos(x) / Sin(x)'''.<br/>
+
*This function is used to obtain the Tangent value of 'x' in Degrees.<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 Tan function TAN(x)
−
*To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN(X)
+
*DTAN returns NaN if 'x' is not real
−
*DCOTAN returns NaN if 'x' is not real
 
−
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 DTAN is applied to an array of numbers containing angles 1..10.
−
*Type =1..10@DCOTAN in Calci
+
*Type =1..10@DTAN in Calci
−
*Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS
+
*Type =1..10@DTAN or 1..10@DTAN in ZOS
  
 
{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
−
! Number !! DCOTAN
+
! Angles !! DTAN
 
|-
 
|-
−
| 1 || 0.642092616
+
| 1 || 0.017455065
 
|-
 
|-
−
| 2 || -0.457657554
+
| 2 || 0.034920769
 
|-
 
|-
−
| 3 || -7.015252551
+
| 3 || 0.052407779
 
|-
 
|-
−
| 4 ||  0.863691154
+
| 4 ||  0.069926812
 
|-
 
|-
−
| 5 || -0.295812916
+
| 5 || 0.087488664
 
|-
 
|-
−
| 6 || -3.436353004
+
| 6 || 0.105104235
 
|-
 
|-
−
| 7 || 1.147515422
+
| 7 || 0.122784561
 
|-
 
|-
−
| 8 || -0.147065064
+
| 8 || 0.140540835
 
|-
 
|-
−
| 9 || -2.210845411
+
| 9 || 0.15838444
 
|-
 
|-
−
| 10 || 1.542351045
+
| 10 || 0.176326981
 +
 
 
|}
 
|}
  
 
== Examples ==
 
== Examples ==
−
'''DCOTAN(x)'''
+
'''DTAN(x)'''
−
*'''x  ''' is the angle in radians.
+
*'''x  ''' is the angle in degrees.
−
* COTAN(-X)=-COTAN(X)
+
* TAN(-x)=-TAN(x)
−
* Result shows COTAN(abc)= NAN
+
* Result shows TAN(abc)= NAN
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
−
|'''DCOTAN(Radian)'''
+
|'''DTAN(degrees)'''
 
|'''Value'''
 
|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
−
| DCOTAN (100)
+
| DTAN (0)
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| 0.1762698070846492
+
| 0
  
 
|- class="even"
 
|- class="even"
−
| DCOTAN (20)
+
| DTAN (1)
−
| 2.7474774194546225
+
| 0.017455065
  
 
|- class="odd"
 
|- class="odd"
−
| DCOTAN (-20)
+
| DTAN (-45)
−
| 2.7474774194546225
+
| -1
  
 
|}
 
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|Kz6tCMgat94|280|center|Trig Function Values in Degrees}}
  
 
==See Also==
 
==See Also==
  
 
*[[Manuals/calci/TAN | TAN]]
 
*[[Manuals/calci/TAN | TAN]]
−
*[[Manuals/calci/DTAN | DTAN]]
 
 
*[[Manuals/calci/TANH | TANH]]
 
*[[Manuals/calci/TANH | TANH]]
 
*[[Manuals/calci/ASIN | ASIN]]
 
*[[Manuals/calci/ASIN | ASIN]]
Line 77: Line 83:
  
 
*[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/COT COT]
 
−
 
−
 
−
<div id="6SpaceContent" class="zcontent" align="left">
 
−
 
−
'''DTAN'''(n)
 
−
 
−
where
 
−
 
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'''n '''is the angle in radian.
 
−
 
−
</div>
 
−
----
 
−
<div id="1SpaceContent" class="zcontent" align="left">
 
−
 
−
DTAN returns the double-precision real tangent of its double-precision real argument.
 
−
 
−
</div>
 
−
----
 
−
<div id="7SpaceContent" class="zcontent" align="left">
 
−
 
−
DTAN returns NaN if n is not real
 
−
 
−
</div>
 
−
----
 
−
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
−
 
−
DTAN
 
−
 
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</div></div>
 
−
----
 
−
<div id="8SpaceContent" class="zcontent" align="left">
 
−
 
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Lets see an example in (Column2Row1)
 
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<nowiki>=DTAN(Column1Row1)</nowiki>
 
−
 
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Returns 0.8391 for DTAN(40)
 
−
 
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Consider another example in (Column2Row2)
 
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<nowiki>=DTAN(Column1Row2)</nowiki>
 
−
 
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Returns NaN for DTAN("abc")
 
  
−
</div>
 
−
----
 
−
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
−
----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
−
----
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
−
----
 
−
<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
−
----
 
−
<div id="2SpaceContent" class="zcontent" align="left">
 
  
−
{| id="TABLE3" class="SpreadSheet blue"
 
−
|+ Default Calci
 
−
|- class="even"
 
−
| class=" " |
 
−
| Column1
 
−
| Column2
 
−
| Column3
 
−
| Column4
 
−
|- class="odd"
 
−
| class=" " | Row1
 
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| 40
 
−
| class="sshl_f" | 0.8391
 
−
| class="                    sshl_f" |
 
−
| class="                                                          sshl_f  sshl_f" |
 
−
|- class="even"
 
−
| class="  " | Row2
 
−
| class=" " | abc
 
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| class="sshl_f  " | NaN
 
−
| class=" sshl_f" |
 
−
| class="sshl_f  sshl_f" |
 
−
|- class="odd"
 
−
| Row3
 
−
|
 
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| class="sshl_f            SelectTD1 ChangeBGColor" |
 
−
<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>
 
−
| class="sshl_f  " |
 
−
| class="sshl_f" |
 
−
|- class="even"
 
−
| Row4
 
−
|
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
|
 
−
|- class="odd"
 
−
| class=" " | Row5
 
−
|
 
−
|
 
−
| class="sshl_f" |
 
−
|
 
−
|- class="even"
 
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| Row6
 
−
|
 
−
|
 
−
| class="sshl_f" |
 
−
|
 
−
|}
 
  
−
{|
+
*[[Z_API_Functions | List of Main Z Functions]]
−
| <span align="left">[[Image:calci1.gif]]</span>
 
−
|
 
−
|
 
−
[[Image:bold.gif]]
 
−
|
 
−
[[Image:italic.gif]]
 
−
|
 
−
[[Image:normal.gif]]
 
−
|
 
−
[[Image:underline.gif]]
 
−
|
 
−
[[Image:border.gif]]
 
−
|
 
−
[[Image:numbers.gif]]
 
−
|
 
−
[[Image:sort.gif]]
 
−
|
 
−
[[Image:formatcells.gif]]
 
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|
 
−
[[Image:graphs.gif]]
 
−
| $
 
−
|}
 
  
−
</div>
+
*[[ Z3 |  Z3 home ]]
−
----
 

Latest revision as of 16:47, 25 June 2018

DTAN(Number)


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

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


Description

  • In a right angled triangle, TAN = Opposite side / Adjacent side or SIN / COS.
  • This function is used to obtain the Tangent value of 'x' in Degrees.
  • To obtain the value in Radians multiply with PI()/180 or use Tan function TAN(x)
  • DTAN returns NaN if 'x' is not real

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

  • Type =1..10@DTAN in Calci
  • Type =1..10@DTAN or 1..10@DTAN in ZOS
Angles DTAN
1 0.017455065
2 0.034920769
3 0.052407779
4 0.069926812
5 0.087488664
6 0.105104235
7 0.122784561
8 0.140540835
9 0.15838444
10 0.176326981

Examples

DTAN(x)

  • x   is the angle in degrees.
  • TAN(-x)=-TAN(x)
  • Result shows TAN(abc)= NAN
DTAN(degrees) Value
DTAN (0) 0
DTAN (1) 0.017455065
DTAN (-45) -1

Related Videos

Trig Function Values in Degrees

See Also

References


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