Difference between revisions of "Manuals/calci/COSEC"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''COSEC'''(n) where '''n '''is the angle in radian. </div> ---- <div id="1SpaceContent" class="zconte...")
 
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<div style="font-size:30px">'''TAN(x)'''</div><br/>
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* where '''x''' is in Radians
 +
* by default Calci use Radian as angle
  
'''COSEC'''(n)
+
[[Manuals/calci/COSEC | COSEC]] can be used if the angle is in degrees.
  
where
+
The angle can be a single value or any complex array of values.
  
'''n '''is the angle in radian.
+
For example COSEC(1..100) can give an array of the results, which is the COSEC value for each of the elements in the array. The array could be of any shape.  
  
</div>
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==Description==
----
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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 gives the cosecant of angle 'x' in radians .This function is the reciprocal of SIN function. i.e.,cosec(x)=1/sin(x).In a right angled triangle cosec(x)=hypotenuse/opposite side.To convert the radian value in to degrees multiply with 180/PI() or we have to use the radians function like COSEC(RADIANS(45)).This function is also denoted by CSC(x)
  
COSEC function determines the cosecant of the given angle.<br />
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The following example shows how COSEC is applied to an array of numbers containing numbers 1..10.
  
</div>
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1..10@TAN
----
 
<div id="7SpaceContent" class="zcontent" align="left">
 
  
COSEC returns NaN if n is not real
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{| class="wikitable"
 +
|-
 +
! Number !! 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
 +
|}
  
</div>
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== Examples ==
----
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'''TAN(x)'''
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
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*'''x  ''' is the angle in radians.
  
COSEC
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{|id="TABLE1" class="SpreadSheet blue"
  
</div></div>
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|- class="even"
----
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|'''TAN(Radian)'''
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|'''Value'''
  
Lets see an example in (Column2Row1)
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|- class="odd"
 +
| TAN(0)
 +
| 0
  
<nowiki>=COSEC(Column1Row1)</nowiki>
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|- class="even"
 +
| TAN(1)
 +
| 1.55740772465
  
Returns 1.175221 for COSEC(45)
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|- class="odd"
 +
|TAN(90)
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| -1.99520041221
  
Consider another example in (Column2Row2)
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|}
  
<nowiki>=COSEC(Column1Row2)</nowiki>
 
  
Returns NaN for COSEC("abc")
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==See Also==
  
</div>
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*[[Manuals/calci/DTAN | DTAN]]
----
 
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
----
 
<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
----
 
<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"
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*[[Manuals/calci/ATAN | ATAN]]
|+ Default Calci
 
|- class="even"
 
| class=" " |
 
| Column1
 
| Column2
 
| Column3
 
| Column4
 
|- class="odd"
 
| class=" " | Row1
 
| 45
 
| class="sshl_f" | 1.175221
 
| class="          sshl_f  sshl_f" |
 
| class="                                                          sshl_f  sshl_f" |
 
|- class="even"
 
| class="  " | Row2
 
| class=" " | abc
 
| class="sshl_f" | NaN
 
| class=" sshl_f" |
 
| class="sshl_f  sshl_f" |
 
|- class="odd"
 
| Row3
 
| class="sshl_f  " |
 
| class="                      sshl_f  sshl_f          SelectTD1 ChangeBGColor SelectTD1" |
 
<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="      " |
 
| class=" sshl_f" |
 
| class="sshl_f" |
 
|
 
|- class="odd"
 
| class=" " | Row5
 
|
 
| class=" sshl_f" |
 
| class="sshl_f" |
 
|
 
|- class="even"
 
| Row6
 
|
 
|
 
| class="sshl_f" |
 
|
 
|}
 
  
{|
+
==References==
| <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]]
 
|
 
[[Image:graphs.gif]]
 
| $
 
|}
 
  
</div>
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
----
+
*[http://en.wikipedia.org/wiki/Sine TAN]

Revision as of 06:14, 31 October 2013

TAN(x)


  • where x is in Radians
  • by default Calci use Radian as angle

COSEC can be used if the angle is in degrees.

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

For example COSEC(1..100) can give an array of the results, which is the COSEC value for each of the elements in the array. The array could be of any shape.

Description

Consider     x = 90    then     =TAN(RADIANS(90))    gives    1
This function gives the cosecant of angle 'x' in radians .This function is the reciprocal of SIN function. i.e.,cosec(x)=1/sin(x).In a right angled triangle cosec(x)=hypotenuse/opposite side.To convert the radian value in to degrees multiply with 180/PI() or we have to use the radians function like COSEC(RADIANS(45)).This function is also denoted by CSC(x)

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

1..10@TAN

Number 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(x)

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


See Also

References