Difference between revisions of "Manuals/calci/CSCH"

From ZCubes Wiki
Jump to navigation Jump to search
 
(8 intermediate revisions by 4 users not shown)
Line 1: Line 1:
−
<div style="font-size:30px">'''CSCH(z)'''</div><br/>
+
<div style="font-size:30px">'''CSCH(x)'''</div><br/>
−
* where z is any real number
+
*Where x is any real number
 +
*It is read as COSECH(x).
 +
 
 
==Description==
 
==Description==
  
−
*This function gives the Hyperbolic Cosecant of 'z'.
+
*This function gives the Hyperbolic Cosecant of 'x'.
 
*It's also called as Circular function.
 
*It's also called as Circular function.
−
*Here <math>CSCH= sinh(z)^{-1}</math> ie, <math>\frac{2}{e^z-e^{-z}}</math> or <math>-Icsc(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math>
+
*Let z is any real number.
−
*The relation between Hyperbolic & Trigonometric function is <math>CSC(iz) = -ICSCh(z)</math> & <math>Csch(iz)=-iCsc(z)</math>
+
*Here <math>CSCH(z)= (sinh(z))^{-1}</math> ie, <math>\frac{2}{e^z-e^{-z}}</math> or <math>icsc(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math>
 +
*The relation between Hyperbolic & Trigonometric function is <math>Csc(iz) = -iCsch(z)</math> & <math>Csch(iz)=-iCsc(z)</math>
 
*CSCH(-z)=-CSCH(z)
 
*CSCH(-z)=-CSCH(z)
  
 
== Examples ==
 
== Examples ==
−
'''SINH(z)'''
+
'''CSCH(x)'''
−
*'''z''' is any real number.
+
*'''x''' is any real number.
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
−
|'''SINH(z)'''
+
|'''CSCH(x)'''
−
|'''Value(Radian)'''
+
|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
−
| SINH(0)
+
| CSCH(0)
−
| 0
+
| Infinity
  
 
|- class="even"
 
|- class="even"
−
| SINH(10)
+
| CSCH(7)
−
| 11013.23287
+
| 0.00182376
  
 
|- class="odd"
 
|- class="odd"
−
| SINH(-3)
+
| CSCH(-2)
−
| -10.0178749274099
+
| 0.27572056
 
|}
 
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic Cosecant}}
  
 
==See Also==
 
==See Also==
  
−
*[[Manuals/calci/SIN| SIN]]
+
*[[Manuals/calci/COSEC| COSEC]]
  
−
*[[Manuals/calci/COSH| COSH]]
+
*[[Manuals/calci/DCOSEC| DCOSEC]]
  
−
*[[Manuals/calci/TANH | TANH]]
+
*[[Manuals/calci/SINH| SINH]]
  
 
==References==
 
==References==
Line 44: Line 51:
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
 
*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
 +
 +
 +
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 16:34, 18 June 2018

CSCH(x)


  • Where x is any real number
  • It is read as COSECH(x).

Description

  • This function gives the Hyperbolic Cosecant of 'x'.
  • It's also called as Circular function.
  • Let z is any real number.
  • Here ie, or , where is the imaginary unit and
  • The relation between Hyperbolic & Trigonometric function is &
  • CSCH(-z)=-CSCH(z)

Examples

CSCH(x)

  • x is any real number.
CSCH(x) Value
CSCH(0) Infinity
CSCH(7) 0.00182376
CSCH(-2) 0.27572056

Related Videos

Hyperbolic Cosecant

See Also

References



Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/CSCH&oldid=210396"