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<div style="font-size:30px">'''ACOSH(z)'''</div><br/>
<div style="font-size:30px">'''ACOSH(Number)'''</div><br/>
* where z is any real number
* <math>Number</math> is any real number.
**ACOSH() returns the inverse hyperbolic cosine of a number.
==Description==
==Description==
*This function gives the Inverse Hyperbolic Cosine of a number.
*This function gives the Inverse Hyperbolic Cosine of a number.
*Here 'z' is any positive real number i.e, <math>z \ge 1</math>.
*Consider 'z' is any positive real number i.e, <math>z \ge 1</math>.
*Inverse Hyperbolic sine of a number is defined by <math>Acosh(z)=log e(z+\sqrt{z^2-1}</math>
*Inverse Hyperbolic sine of a number is defined by <math>Acosh(z)=\log_e(z+\sqrt{z^2-1})</math>
*Also ACOSH(COSH(z))=z
*ACOSH(-2)=NAN , since z<1
*ACOSH(-2)=NAN , since z<1
== Examples ==
== Examples ==
'''ACOSH(z)'''
'''ACOSH(Number)'''
*'''z''' is any real number.
*'''Number''' is any positive real number.
{|id="TABLE1" class="SpreadSheet blue"
{|id="TABLE1" class="SpreadSheet blue"
|- class="even"
|- class="even"
|'''ACOSH(z)'''
|'''ACOSH(z)'''
|'''Value(Radian)'''
|'''Value'''
|- class="odd"
|- class="odd"
| 5.192925985263806
| 5.192925985263806
|}
|}
==Related Videos==
{{#ev:youtube|lsUcHzQAlHQ|280|center|Inverse Hyperbolic COS}}
==See Also==
==See Also==
*[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 ]]