Difference between revisions of "Manuals/calci/ACOSH"

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<div style="font-size:30px">'''ACOSH(z)'''</div><br/>
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<div style="font-size:30px">'''ACOSH(Number)'''</div><br/>
* where z is any real number
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* <math>Number</math> is any real number.
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**ACOSH() returns the inverse hyperbolic cosine of a number.
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==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>.  
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*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>
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*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
 
*Also ACOSH(COSH(z))=z
 
*ACOSH(-2)=NAN , since z<1
 
*ACOSH(-2)=NAN , since z<1
  
 
== Examples ==
 
== Examples ==
'''ACOSH(z)'''
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'''ACOSH(Number)'''
*'''z''' is any positive real number.(z>=1)
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*'''Number''' is any positive real number.
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
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| 5.192925985263806
 
| 5.192925985263806
 
|}
 
|}
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==Related Videos==
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{{#ev:youtube|lsUcHzQAlHQ|280|center|Inverse Hyperbolic COS}}
  
 
==See Also==
 
==See Also==
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*[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]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 17:00, 18 June 2018

ACOSH(Number)


  • is any real number.
    • ACOSH() returns the inverse hyperbolic cosine of a number.

Description

  • This function gives the Inverse Hyperbolic Cosine of a number.
  • Consider 'z' is any positive real number i.e, .
  • Inverse Hyperbolic sine of a number is defined by
  • Also ACOSH(COSH(z))=z
  • ACOSH(-2)=NAN , since z<1

Examples

ACOSH(Number)

  • Number is any positive real number.
ACOSH(z) Value
ACOSH(1) 0
ACOSH(30) 4.0940666863209
ACOSH(90) 5.192925985263806

Related Videos

Inverse Hyperbolic COS

See Also

References