Difference between revisions of "Manuals/calci/DCOSEC"

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<div style="font-size:30px">'''DCOSEC(x)'''</div><br/>
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<div style="font-size:30px">'''DCOSEC(Number)'''</div><br/>
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* where '''x''' is the angle in Radians
+
* <math>Number</math> is the angle in degrees.
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* by default Calci use Radian as angle
+
**DCOSEC(),returns the double-precision cosecant of the given angle
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[[Manuals/calci/COSEC| COSEC]] can be used if the angle is in Radians.  
+
 
 +
[[Manuals/calci/COSEC| COSEC]] 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 DCOSEC(1..100) can give an array of the results, which is the COSECANT value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DCOSEC or (-5)..(-1)@DCOSEC.
 +
 
  
 
==Description==
 
==Description==
−
*This function is used to obtain the Cosecant value of 'x' in degrees.<br/>
+
*This function is used to obtain the Cosecant value of any Number in degrees.
−
*It is the reciprocal of SIN function i.e, '''COSEC(x) = 1 / SIN(x)'''.<br/>
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*It is the reciprocal of SIN function i.e, '''COSEC(x) = 1 / SIN(x)'''
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*In a right angled triangle '''COSEC(x) = Hypotenuse / Opposite side'''.<br/>
+
*In a right angled triangle '''COSEC(x) = Hypotenuse / Opposite side'''.
 
*To obtain the value in Radians multiply with PI()/180 or use COSEC function COSEC(X)
 
*To obtain the value in Radians multiply with PI()/180 or use COSEC function COSEC(X)
 
*DCOSEC returns NaN if 'x' is not real
 
*DCOSEC returns NaN if 'x' is not real
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The angle can be a single value or any complex array of values.
 
  
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The following example shows how COTAN is applied to an array of numbers containing numbers 1..10.
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The following example shows how DCOSEC is applied to an array of numbers containing angles 1..10.
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*Type =1..10@DSEC in Calci
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*Type =1..10@DCOSEC in Calci
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*Type =1..10@DSEC or 1..10@DSEC in ZOS
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*Type =1..10@DCOSEC or 1..10@DCOSEC in ZOS
  
 
{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
−
! Number !! DSEC
+
! Angles !! DCOSEC
 
|-
 
|-
−
| 1 || 1.000152328
+
| 1 || 57.2986884985501
 
|-
 
|-
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| 2 || 1.000609544
+
| 2 || 28.65370835
 
|-
 
|-
−
| 3 || 1.001372346
+
| 3 || 19.10732261
 
|-
 
|-
−
| 4 ||  1.002441898
+
| 4 ||  14.33558703
 
|-
 
|-
−
| 5 || 1.003819838
+
| 5 || 11.47371325
 
|-
 
|-
−
| 6 || 1.00550828
+
| 6 || 9.566772234
 
|-
 
|-
−
| 7 || 1.007509825
+
| 7 || 8.205509048
 
|-
 
|-
−
| 8 || 1.009827573
+
| 8 || 7.185296534
 
|-
 
|-
−
| 9 || 1.012465126
+
| 9 || 6.392453221
 
|-
 
|-
−
| 10 || 1.015426612
+
| 10 || 5.758770483
 
|}
 
|}
  
 
== Examples ==
 
== Examples ==
−
'''DSEC(x)'''
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'''DCOSEC(Number)'''
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*'''x  ''' is the angle in radians.
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*'''Number''' is the angle in Degrees.
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* SEC(-X)=-SEC(X)
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* Result shows DCOSEC(abc)= NAN
−
* Result shows COTAN(abc)= NAN
 
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
−
|'''DSEC(Radian)'''
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|'''DCOSEC(Degrees)'''
 
|'''Value'''
 
|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
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| DSEC(12)
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| DCOSEC(0)
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| 1.0223405948650293
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| infinity
  
 
|- class="even"
 
|- class="even"
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| DSEC(81)
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| DCOSEC(1)
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| 6.392453221499659
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| 57.298688498550185
  
 
|- class="odd"
 
|- class="odd"
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| DSEC(-81)
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| DCOSEC(90)
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| 6.392453221499659
+
| 1
  
 
|}
 
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|Kz6tCMgat94|280|center|Trig Function Values in Degrees}}
  
 
==See Also==
 
==See Also==
  
−
*[[Manuals/calci/SEC | SEC]]
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*[[Manuals/calci/COSEC | COSEC]]
−
*[[Manuals/calci/SECH | SECH]]
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*[[Manuals/calci/SIN | SIN]]
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*[[Manuals/calci/COS | COS]]
+
*[[Manuals/calci/ASIN| ASIN]]
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*[[Manuals/calci/ACOS | ACOS]]
 
−
*[[Manuals/calci/DCOS| DCOS]]
 
  
 
==References==
 
==References==
  
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 +
 +
 +
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 16:18, 25 June 2018

DCOSEC(Number)


  • is the angle in degrees.
    • DCOSEC(),returns the double-precision cosecant of the given angle

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


Description

  • This function is used to obtain the Cosecant value of any Number in degrees.
  • It is the reciprocal of SIN function i.e, COSEC(x) = 1 / SIN(x)
  • In a right angled triangle COSEC(x) = Hypotenuse / Opposite side.
  • To obtain the value in Radians multiply with PI()/180 or use COSEC function COSEC(X)
  • DCOSEC returns NaN if 'x' is not real

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

  • Type =1..10@DCOSEC in Calci
  • Type =1..10@DCOSEC or 1..10@DCOSEC in ZOS
Angles DCOSEC
1 57.2986884985501
2 28.65370835
3 19.10732261
4 14.33558703
5 11.47371325
6 9.566772234
7 8.205509048
8 7.185296534
9 6.392453221
10 5.758770483

Examples

DCOSEC(Number)

  • Number is the angle in Degrees.
  • Result shows DCOSEC(abc)= NAN
DCOSEC(Degrees) Value
DCOSEC(0) infinity
DCOSEC(1) 57.298688498550185
DCOSEC(90) 1

Related Videos

Trig Function Values in Degrees

See Also

References



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