Difference between revisions of "Manuals/calci/TAN"

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<div style="font-size:30px">'''TAN(Number)'''</div><br/>
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* where '''Number''' is the angle in Radians
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* by default, Calci use angle in Radians.
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**TAN(), returns the tangent of the given angle
  
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Syntax
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[[Manuals/calci/DTAN | DTAN]] can be used if the angle is in degrees.
  
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The angle can be a single value or any complex array of values.
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Remarks
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For example TAN(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@TAN or (-5)..(-1)@TAN.
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==Description==
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Consider &nbsp;&nbsp;&nbsp; '''x = 60'''&nbsp;&nbsp;&nbsp;  then &nbsp;&nbsp;&nbsp;  '''=TAN(RADIANS(60))'''&nbsp;&nbsp;&nbsp; gives &nbsp;&nbsp;&nbsp;'''1.7320508075688767'''  that is similar to <math>\sqrt{3}</math> <br/>   
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The above function gives the Tangent of 'x' in Degree.<br/>
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*In a right angled triangle, '''TAN = Opposite side / Adjacent side''' or '''SIN / COS'''.<br/>
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*TAN function determines the Tangent of the given angle.
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*By default, Calci takes the angle in Radians.
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*To convert Radians to Degrees, multiply with 180/PI() or we have to use the Radians function like TAN(RADIANS(x)) or DTAN(x)
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*TAN(RADIANS(45))= 0.9999999999999999. i.e, approximately = 1. So for calculation we consider TAN(RADIANS(45))=1
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The following example shows how TAN is applied to an array of numbers containing angles 1..10.
  
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1..10@TAN
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Examples
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{| class="wikitable"
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|-
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! Angles !! TAN
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|-
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| 1 || 1.55740772465
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|-
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| 2 || -2.18503986326
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|-
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| 3 || -0.14254654307
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|-
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| 4 || 1.15782128235
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|-
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| 5 ||-3.38051500625
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|-
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| 6 || -0.29100619138
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|-
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| 7 || 0.87144798272
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|-
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| 8 || -6.79971145522
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|-
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| 9 || -0.45231565944
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|-
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| 10 || 0.64836082745
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|}
  
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</div></div>
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== Examples ==
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'''TAN(Number)'''
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<div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
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*'''Number  ''' is the angle in Radians.
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<font size="5">Description</font>
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{|id="TABLE1" class="SpreadSheet blue"
  
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|- class="even"
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|'''TAN(Radian)'''
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman"> <font size="6">TAN</font> </font>'''</div></div>
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|'''Value'''
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<div id="3SpaceContent" class="zcontent" align="left"><br /><div id="7Space" class="gamizbox" title="7Space"><div id="7SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="7SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="7SpaceRollupContent" align="center"></span></span></div><div id="7SpaceCover"><div id="7SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''TAN''' ('''n''') where n is the angle in radians.</div></div>
 
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<div id="13SpaceContent" class="zcontent" align="left"><br /><br /><div id="1Space" class="gamizbox" title="1Space"><div id="1SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="1SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="1SpaceRollupContent" align="center"></span></span></div><div id="1SpaceCover"><div id="1SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman"> 
 
  
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Whenever the argument is in degrees, multiply it by PI ()/180.
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|- class="odd"
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| TAN(0)
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| 0
  
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</font></font></div></div>
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|- class="even"
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| TAN(1)
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<div id="14SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="5Space" class="gamizbox" title="5Space"><div id="5SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="5SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="5SpaceRollupContent" align="center"></span></span></div><div id="5SpaceCover"><div id="5SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">TAN function returns the tangent of the given angle.</div></div>
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| 1.55740772465
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<div id="12SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="9Space" class="gamizbox" title="9Space"><div id="9SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="9SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="9SpaceRollupContent" align="center"></span></span></div><div id="9SpaceCover"><div id="9SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman"> 
 
  
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Lets see an example in (Column1 Row 1)
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|- class="odd"
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|TAN(90)
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| -1.99520041221
  
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TAN (R)
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|}
  
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TAN (C1R1)''''''
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==Related Videos==
  
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That is =TAN (0.65) is 0.7602
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{{#ev:youtube|Jsiy4TxgIME|280|center|Tangent}}
  
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==See Also==
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{| id="TABLE3" class="SpreadSheet blue"
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*[[Manuals/calci/DTAN | DTAN]]
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*[[Manuals/calci/ATAN | ATAN]]
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==References==
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
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| class="sshl_f" | 0.65
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| class="sshl_f" | 0.7602
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 16:17, 3 July 2018

TAN(Number)


  • where Number is the angle in Radians
  • by default, Calci use angle in Radians.
    • TAN(), returns the tangent of the given angle

DTAN can be used if the angle is in degrees.

The angle can be a single value or any complex array of values.

For example TAN(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@TAN or (-5)..(-1)@TAN.

Description

Consider     x = 60    then     =TAN(RADIANS(60))    gives    1.7320508075688767 that is similar to
The above function gives the Tangent of 'x' in Degree.

  • In a right angled triangle, TAN = Opposite side / Adjacent side or SIN / COS.
  • TAN function determines the Tangent of the given angle.
  • By default, Calci takes the angle in Radians.
  • To convert Radians to Degrees, multiply with 180/PI() or we have to use the Radians function like TAN(RADIANS(x)) or DTAN(x)
  • TAN(RADIANS(45))= 0.9999999999999999. i.e, approximately = 1. So for calculation we consider TAN(RADIANS(45))=1

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

1..10@TAN

Angles TAN
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

TAN(Number)

  • Number   is the angle in Radians.
TAN(Radian) Value
TAN(0) 0
TAN(1) 1.55740772465
TAN(90) -1.99520041221

Related Videos

Tangent

See Also

References



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