Difference between revisions of "Manuals/calci/CSCH"

Latest revision as of 16:34, 18 June 2018

CSCH(x)

This function gives the Hyperbolic Cosecant of 'x'.
It's also called as Circular function.
Let z is any real number.
Here $CSCH(z)=(sinh(z))^{-1}$ ie, ${\frac {2}{e^{z}-e^{-z}}}$ or $icsc(iz)$ , where $i$ is the imaginary unit and $i={\sqrt {-1}}$
The relation between Hyperbolic & Trigonometric function is $Csc(iz)=-iCsch(z)$ & $Csch(iz)=-iCsc(z)$
CSCH(-z)=-CSCH(z)

CSCH(x)

@@ 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(z)
+*It is read as COSECH(x).
 ==Description==
-*This function gives the Hyperbolic Cosecant of 'z'.
+*This function gives the Hyperbolic Cosecant of 'x'.
 *It's also called as Circular function.
+*Let z is any real number.
 *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>
@@ Line 11: / Line 13: @@
 == Examples ==
-'''CSCH(z)'''
+'''CSCH(x)'''
-*'''z''' is any real number.
+*'''x''' is any real number.
 {|id="TABLE1" class="SpreadSheet blue"
 |- class="even"
-|'''CSCH(z)'''
+|'''CSCH(x)'''
 |'''Value'''
@@ Line 32: / Line 34: @@
 | 0.27572056
 |}
+==Related Videos==
+{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic Cosecant}}
 ==See Also==
@@ Line 45: / Line 51: @@
 *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 *[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]