Difference between revisions of "Manuals/calci/ASINH"

Latest revision as of 18:31, 13 August 2018

ASINH(Number)

This function gives the Inverse Hyperbolic Sine of a number.
Here 'z' is any real number.
Inverse Hyperbolic Sine of a number is defined as $Asinh(z)=\log _{e}(z+{\sqrt {z^{2}+1}})$
Also $ASinh(Sinh(z))=z$
ASINH(-z) = -ASINH(z)

ASINH(z)

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''ASINH(z)'''</div><br/>
+<div style="font-size:30px">'''ASINH(Number)'''</div><br/>
-* where z is any real number
+* <math>Number</math> is any real number.
+**ASINH() returns the inverse hyperbolic sine of a number.
 ==Description==
 *This function gives the Inverse Hyperbolic Sine of a number.
 *Here 'z' is any real number.
-*Inverse Hyperbolic Sine of a number is defined by <math> Asinh(z) = loge(z +\sqrt(z^2 + 1))</math>.
+*Inverse Hyperbolic Sine of a number is defined as <math> Asinh(z) = \log_e(z +\sqrt{z^2 + 1})</math>
+*Also <math>ASinh(Sinh(z))=z</math>
+*ASINH(-z) = -ASINH(z)
 == Examples ==
@@ Line 15: / Line 19: @@
 |- class="even"
 |'''ASINH(z)'''
-|'''Value(Radian)'''
+|'''Value'''
 |- class="odd"
@@ Line 29: / Line 33: @@
 | -5.192987713658952
 |}
+==Related Videos==
+{{#ev:youtube|AQT2uHlyjEs|280|center|Inverse Hyperbolic SIN}}
 ==See Also==
@@ Line 41: / Line 49: @@
 *[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 ]]