Manuals/calci/SECH

SECH(z)

• where z is any real number

Description

• This function gives the hyperbolic Secant of 'z',
• It is also called as Circular function.
• SECH is the reciprocal of COSH function.
• SECH(z)=$(cosh(z))^{-1}$ i.e, ${\frac {2}{e^{z}+e^{-z}}}$ or SEC(iz). where 'i' is the imaginary unit and $i={\sqrt {-1}}$
• Also relation between Hyperbolic & Trigonometric function is $Sec(iz)=Sech(z)$ & $Sech(iz)=Sec(z)$
• SECH(-z) = SECH(z)

Examples

SECH(z)

• z is any real number.

SECH(z)	Value
SECH(0)	1
SECH(10)	0.00009079985933781728
SECH(7)	0.001823762414

See Also

• SEC
• DSEC
• COSH

References

• List of Trigonometric Functions
• Hyperbolic Function