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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac {e^z+e^{-z}} {e^z-e^{-z}}} or iCOT(iz).where 'i' is the imaginary unit and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}} .
• Also relation between Hyperbolic & Trignometric function is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cot(iz)=-iCoth(z)} & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Coth(iz)=-iCot(z)}

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

• SINH

• COSH

• TANH

References

• List of Trigonometric Functions
• Hyperbolic Function

• List of Main Z Functions

• Z3 home