Manuals/calci/CSCH

CSCH(z)

• Where z is any real number
• It is read as COSECH(z)

Description

• This function gives the Hyperbolic Cosecant of 'z'.
• It's also called as Circular function.
• Here $CSCH=sinh(z)^{-1}$ ie, ${\frac {2}{e^{z}-e^{-z}}}$ or $-Icsc(iz)$, where 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} 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}}
• The relation between Hyperbolic & Trigonometric 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 CSC(iz) = -ICSCh(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 Csch(iz)=-iCsc(z)}
• CSCH(-z)=-CSCH(z)

Examples

CSCH(z)

• z is any real number.

CSCH(z)	Value(Radian)
CSCH(0)	Infinity
CSCH(7)	0.00182376
CSCH(-2)	0.27572056

See Also

• COSEC

• DCOSEC

• SINH

References

• List of Trigonometric Functions
• Hyperbolic Function