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→Examples
<div style="font-size:30px">'''COTH(z)'''</div><br/>
<div style="font-size:30px">'''COTH(x)'''</div><br/>
* where z is any real number
* 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'.
*This function gives the hyperbolic Cotangent of 'x'.
*It's also called as Circular function.
*It's also called as Circular function.
*Let z is any real number.
*COTH is the reciprocal of TANH function.i.e.COTH(z)=<math>(tanh (z))^{-1}</math>
*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>.
== Examples ==
== Examples ==
'''COTH(z)'''
'''COTH(x)'''
*'''z''' is any real number.
*'''x''' is any real number.
{|id="TABLE1" class="SpreadSheet blue"
{|id="TABLE1" class="SpreadSheet blue"
|- class="even"
|- class="even"
|'''COTH(z)'''
|'''COTH(x)'''
|'''Value'''
|'''Value'''
| -1
| -1
|}
|}
==Related Videos==
{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic COT}}
==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 ]]