Difference between revisions of "Manuals/calci/SECH"
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==See Also== | ==See Also== | ||
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/SEC | SEC]] |
| − | |||
| − | |||
| − | |||
*[[Manuals/calci/DSEC | DSEC]] | *[[Manuals/calci/DSEC | DSEC]] | ||
| + | *[[Manuals/calci/COSH | COSH]] | ||
==References== | ==References== | ||
Revision as of 06:06, 5 November 2013
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)=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 cosh (z)^{-1}} 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{ 2} {e^z+e^{-z}} } or SEC(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 & 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 Sec(iz) = Sech(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 Sec(iz) = Sec(z)}
- SECH(-z) = SECH(z)
Examples
SECH(z)
- z is any real number.
| SECH(z) | Value(Radian) |
| SECH(0) | 1 |
| SECH(10) | 0.00009079985933781728 |
| SECH(7) | SECH(7)=0.001823762414 |