Difference between revisions of "Manuals/calci/COTH"

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*It's also called as Circular function.
 
*It's also called as Circular function.
 
*COTH is the reciprocal of TANH function.  
 
*COTH is the reciprocal of TANH function.  
*<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 imginary unit and i=sqrt(-1).
+
*<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  
+
*Also relation between Hyperbolic & Trignometric function is <math>Cot(iz)=-iCoth(z)</math> & <math>Coth(iz)=-iCot(z)</math>
*cot(iz)=-icothz&coth(iz)=-icot z
 
  
 
== Examples ==
 
== Examples ==

Revision as of 07:27, 5 November 2013

COTH(z)


  • where z is any real number

Description

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

Examples

COTH(z)

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

See Also

References