Difference between revisions of "Manuals/calci/COT"

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<div style="font-size:30px">'''COT(x)'''</div><br/>
 
* where '''x''' is in Radians
 
* by default Calci use Radian as angle
 
  
[[Manuals/calci/DCOTAN | DCOTAN]] can be used if the angle is in degrees.
 
 
The angle can be a single value or any complex array of values.
 
 
For example COTAN(1..100) can give an array of the results, which is the COTANGENT value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@COTAN or (-5)..(-1)@COTAN.
 
 
 
 
==Description==
 
Consider &nbsp;&nbsp;&nbsp; '''x = 90'''&nbsp;&nbsp;&nbsp;  then &nbsp;&nbsp;&nbsp;  '''=COTAN(RADIANS(90))'''&nbsp;&nbsp;&nbsp; gives &nbsp;&nbsp;&nbsp;'''6.123031769111886e-17'''  that is approximate to '''0''' <br/>
 
The above function gives the Cotangent of 'x' in Degree.<br/>
 
*Cotan function gives the Cotangent of angle 'x'.
 
*This function is the reciprocal of TAN function. i.e, '''Cotan(x) = 1 / Tan(x)'''.
 
*In a right angled triangle, '''COTAN = Adjacent side/Opposite side''' or '''COS / SIN'''.<br/>
 
*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 COTAN(RADIANS(x)) or DCOTAN(x).<br/>
 
 
 
The following example shows how COTAN is applied to an array of numbers containing angles 1..10.
 
 
1..10@COTAN
 
 
{| class="wikitable"
 
|-
 
! Angles !! COTAN
 
|-
 
| 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.
 
 
{|id="TABLE1" class="SpreadSheet blue"
 
 
|- class="even"
 
|'''TAN(Radian)'''
 
|'''Value'''
 
 
|- class="odd"
 
| TAN(0)
 
| 0
 
 
|- class="even"
 
| TAN(1)
 
| 1.55740772465
 
 
|- class="odd"
 
|TAN(90)
 
| -1.99520041221
 
 
|}
 
 
 
==See Also==
 
 
*[[Manuals/calci/DTAN | DTAN]]
 
 
*[[Manuals/calci/ATAN | ATAN]]
 
 
==References==
 
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Sine TAN]
 

Revision as of 00:55, 6 November 2013