Difference between revisions of "Manuals/calci/SINH"

Latest revision as of 15:26, 3 July 2018

SINH(x)

This function gives the Hyperbolic SIN of 'x'.
It's also called as Circular function.
Here $SINH(x)={\frac {e^{x}-e^{-x}}{2}}$ or $-iSIN(ix)$ , where $i$ is the imaginary unit and $i={\sqrt {-1}}$
The relation between Hyperbolic & Trigonometric function is $Sin(ix)=iSinh(x)$ & $Sinh(ix)=iSin(x)$
SINH(-x) = -SINH(x)

SINH(x)

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''SINH(z)'''</div><br/>
+<div style="font-size:30px">'''SINH(x)'''</div><br/>
-* where z is any real number
+* where x is any real number.
+**SINH(), returns the hyperbolic sine of a number
 ==Description==
-*This function gives the Hyperbolic SIN of 'z'.
+*This function gives the Hyperbolic SIN of 'x'.
 *It's also called as Circular function.
-*Here <math>SINH(z)=\frac{e^z-e^{-z}}{2}</math> or <math>-iSIN(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math>
+*Here <math>SINH(x)=\frac{e^x-e^{-x}}{2}</math> or <math>-iSIN(ix)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math>
-*The relation between Hyperbolic & Trigonometric function is <math>Sin(iz)=iSinh(z)</math> & <math>Sinh(iz)= iSin(z)</math>
+*The relation between Hyperbolic & Trigonometric function is <math>Sin(ix)=iSinh(x)</math> & <math>Sinh(ix)= iSin(x)</math>
-*SINH(-z) = -SINH(z)
+*SINH(-x) = -SINH(x)
 == Examples ==
-'''SINH(z)'''
+'''SINH(x)'''
-*'''z''' is any real number.
+*'''x''' is any real number.
 {|id="TABLE1" class="SpreadSheet blue"
 |- class="even"
-|'''SINH(z)'''
+|'''SINH(x)'''
 |'''Value '''
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 *[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 ]]