Difference between revisions of "Manuals/calci/CSCH"
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| − | <div style="font-size:30px">'''CSCH( | + | <div style="font-size:30px">'''CSCH(x)'''</div><br/> |
| − | * | + | *Where x is any real number |
| + | *It is read as COSECH(x). | ||
| + | |||
==Description== | ==Description== | ||
| − | *This function gives the Hyperbolic Cosecant of ' | + | *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> | + | *Let z is any real number. |
| − | *The relation between Hyperbolic & Trigonometric function is <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 == | ||
| − | ''' | + | '''CSCH(x)''' |
| − | *''' | + | *'''x''' is any real number. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | |''' | + | |'''CSCH(x)''' |
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
| − | | | + | | CSCH(0) |
| − | | | + | | Infinity |
|- class="even" | |- class="even" | ||
| − | | | + | | CSCH(7) |
| − | | | + | | 0.00182376 |
|- class="odd" | |- class="odd" | ||
| − | | | + | | CSCH(-2) |
| − | | | + | | 0.27572056 |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic Cosecant}} | ||
==See Also== | ==See Also== | ||
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/COSEC| COSEC]] |
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/DCOSEC| DCOSEC]] |
| − | *[[Manuals/calci/ | + | *[[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 17:34, 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)
ie, 
or 
, where 
is the imaginary unit and 
& 
Examples
CSCH(x)
- x is any real number.
| CSCH(x) | Value |
| CSCH(0) | Infinity |
| CSCH(7) | 0.00182376 |
| CSCH(-2) | 0.27572056 |
Related Videos
See Also
References