Difference between revisions of "Manuals/calci/COTH"

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<div style="font-size:30px">'''COTH(z)'''</div><br/>
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<div style="font-size:30px">'''COTH(x)'''</div><br/>
* where z is any real number
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* where x is any real number.
 +
**COTH() returns the inverse hyperbolic tangent of a number.
 +
 
 
==Description==
 
==Description==
  
*This function gives the hyperbolic Cotangent of 'z'.
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*This function gives the hyperbolic Cotangent of 'x'.
 
*It's also called as Circular function.
 
*It's also called as Circular function.
*COTH is the reciprocal of TANH function.  
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*Let z is any real number.
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*COTH is the reciprocal of TANH function.i.e.COTH(z)=<math>(tanh (z))^{-1}</math>
 
*<math>COTH(z)=\frac{Cosh(z)}{Sinh(z)}</math>  i.e <math>\frac {e^z+e^{-z}} {e^z-e^{-z}}</math> or iCOT(iz).where 'i' is the imaginary unit and <math>i=\sqrt{-1}</math>.
 
*<math>COTH(z)=\frac{Cosh(z)}{Sinh(z)}</math>  i.e <math>\frac {e^z+e^{-z}} {e^z-e^{-z}}</math> or iCOT(iz).where 'i' is the imaginary unit and <math>i=\sqrt{-1}</math>.
 
*Also relation between Hyperbolic & Trignometric function is <math>Cot(iz)=-iCoth(z)</math> & <math>Coth(iz)=-iCot(z)</math>
 
*Also relation between Hyperbolic & Trignometric function is <math>Cot(iz)=-iCoth(z)</math> & <math>Coth(iz)=-iCot(z)</math>
  
 
== Examples ==
 
== Examples ==
'''COTH(z)'''
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'''COTH(x)'''
*'''z''' is any real number.
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*'''x''' is any real number.
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
|'''COTH(z)'''
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|'''COTH(x)'''
|'''Value(Radian)'''
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|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
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| -1
 
| -1
 
|}
 
|}
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==Related Videos==
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{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic COT}}
  
 
==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 17:31, 18 June 2018

COTH(x)


  • where x is any real number.
    • COTH() returns the inverse hyperbolic tangent of a number.

Description

  • This function gives the hyperbolic Cotangent of 'x'.
  • It's also called as Circular function.
  • Let z is any real number.
  • COTH is the reciprocal of TANH function.i.e.COTH(z)=
  • i.e or iCOT(iz).where 'i' is the imaginary unit and .
  • Also relation between Hyperbolic & Trignometric function is &

Examples

COTH(x)

  • x is any real number.
COTH(x) Value
COTH(1) 1.3130352854993312
COTH(30) 1
COTH(-45) -1

Related Videos

Hyperbolic COT

See Also

References