Manuals/calci/COTH

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)=$(tanh(z))^{-1}$
• $COTH(z)={\frac {Cosh(z)}{Sinh(z)}}$ i.e ${\frac {e^{z}+e^{-z}}{e^{z}-e^{-z}}}$ or iCOT(iz).where 'i' is the imaginary unit and $i={\sqrt {-1}}$.
• Also relation between Hyperbolic & Trignometric function is $Cot(iz)=-iCoth(z)$ & $Coth(iz)=-iCot(z)$

Examples

COTH(z)

• z is any real number.

COTH(z)	Value
COTH(1)	1.3130352854993312
COTH(30)	1
COTH(-45)	-1

Related Videos

Hyperbolic COT

See Also

• SINH

• COSH

• TANH

References

• List of Trigonometric Functions
• Hyperbolic Function

• List of Main Z Functions

• Z3 home