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 id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:30px">'''COSEC(Number)'''</div><br/>
  
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'''COSEC'''(n)
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* Number is the angle value in Radians.
 +
**COSEC() returns the cosecant of the given angle.
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* by default, Calci use angle in Radians
  
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where
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[[Manuals/calci/DCOSEC | DCOSEC]] can be used if the angle is in Degrees.
  
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'''n '''is the angle in radian.
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The angle can be a single value or any complex array of values.
  
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</div>
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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 values either '+' or '-' like 1..5@COSEC or (-5)..(-1)@COSEC.
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<div id="1SpaceContent" class="zcontent" align="left">
 
  
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COSEC function determines the cosecant of the given angle.<br />
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==Description==
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Consider &nbsp;&nbsp;&nbsp; '''x = 90'''&nbsp;&nbsp;&nbsp;  then &nbsp;&nbsp;&nbsp;  '''=COSEC(RADIANS(90))'''&nbsp;&nbsp;&nbsp; gives &nbsp;&nbsp;&nbsp;'''1''' <br/>
 +
The above function gives the Cosecant of 'x' in Degree.<br/>
 +
*Cosec function gives the Cosecant of angle 'x'.
 +
*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'''.
 +
*Here x is in Radians.
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*To convert Radians to Degrees  multiply with 180/PI() or we have to use the Radians function COSEC(RADIANS(x)) or DCOSEC(x).<br/>  
  
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</div>
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The following example shows how COSEC is applied to an array of numbers containing angles 1..10.
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----
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* Type =1..10@COSEC in Calci
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<div id="7SpaceContent" class="zcontent" align="left">
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* Type =1..10@COSEC or 1..10@COSEC in [[ZOS]]
  
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COSEC returns NaN if n is not real
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{| class="wikitable"
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|-
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! Angles !! COSEC
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|-
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| 1 || 1.1883951057781212
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|-
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| 2 || 1.0997501702946164
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|-
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| 3 || 7.086167395737187
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|-
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| 4 || -1.3213487088109024
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|-
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| 5 || -1.0428352127714058
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|-
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| 6 || -3.5788995472544056
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|-
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| 7 || 1.5221010625637303
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|-
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| 8 || 1.010756218400097
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|-
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| 9 || 2.426486643551989
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|-
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| 10 || -1.8381639608896658
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|}
  
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</div>
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== Examples ==
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----
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'''COSEC(x)'''
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
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*''' x  ''' is the angle in radians.
  
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COSEC
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{|id="TABLE1" class="SpreadSheet blue"
  
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</div></div>
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|- class="even"
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----
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|'''COSEC(Radian)'''
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<div id="8SpaceContent" class="zcontent" align="left">
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|'''Value'''
  
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Lets see an example in (Column2Row1)
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|- class="odd"
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| COSEC(0)
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| infinity
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|- class="even"
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| COSEC(1)
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| 1.1883951057781212
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|- class="odd"
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|COSEC(90)
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| 1.1185724071637084
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|}
  
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<nowiki>=COSEC(Column1Row1)</nowiki>
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==Related Videos==
  
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Returns 1.175221 for COSEC(45)
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{{#ev:youtube|Q7htxHDN8LE|280|center|Cosecant}}
  
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Consider another example in (Column2Row2)
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==See Also==
  
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<nowiki>=COSEC(Column1Row2)</nowiki>
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*[[Manuals/calci/DCOSEC | DCOSEC]]
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*[[Manuals/calci/SIN | SIN]]
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*[[Manuals/calci/ASIN | ASIN]]
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*[[Manuals/calci/DSIN | DSIN]]
  
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Returns NaN for COSEC("abc")
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==References==
  
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</div>
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
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<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>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
  
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{| id="TABLE3" class="SpreadSheet blue"
 
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|+ Default Calci
 
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|- class="even"
 
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| class=" " |
 
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| 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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| 45
 
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| class="sshl_f" | 1.175221
 
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| class="          sshl_f  sshl_f" |
 
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| class="                                                          sshl_f  sshl_f" |
 
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| class="  " | Row2
 
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| class=" " | abc
 
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| class="sshl_f" | NaN
 
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|- class="odd"
 
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| Row3
 
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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=" " | Row5
 
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{|
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*[[Z_API_Functions | List of Main Z Functions]]
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| <span align="left">[[Image:calci1.gif]]</span>
 
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</div>
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 16:23, 18 June 2018

COSEC(Number)


  • Number is the angle value in Radians.
    • COSEC() returns the cosecant of the given angle.
  • by default, Calci use angle in Radians

DCOSEC 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 values either '+' or '-' like 1..5@COSEC or (-5)..(-1)@COSEC.

Description

Consider     x = 90    then     =COSEC(RADIANS(90))    gives    1
The above function gives the Cosecant of 'x' in Degree.

  • Cosec function gives the Cosecant of angle 'x'.
  • 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.
  • Here x is in Radians.
  • To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COSEC(RADIANS(x)) or DCOSEC(x).

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

  • Type =1..10@COSEC in Calci
  • Type =1..10@COSEC or 1..10@COSEC in ZOS
Angles COSEC
1 1.1883951057781212
2 1.0997501702946164
3 7.086167395737187
4 -1.3213487088109024
5 -1.0428352127714058
6 -3.5788995472544056
7 1.5221010625637303
8 1.010756218400097
9 2.426486643551989
10 -1.8381639608896658

Examples

COSEC(x)

  • x   is the angle in radians.
COSEC(Radian) Value
COSEC(0) infinity
COSEC(1) 1.1883951057781212
COSEC(90) 1.1185724071637084

Related Videos

Cosecant

See Also

References


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