Manuals/calci/COTH

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.COTH(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 (tanh (z))^{-1}}
• 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(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 $Cot(iz)=-iCoth(z)$ & 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(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