Difference between revisions of "Manuals/calci/CSCH"
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== Examples == | == Examples == | ||
| − | ''' | + | '''CSCH(z)''' |
*'''z''' is any real number. | *'''z''' is any real number. | ||
| Line 16: | Line 16: | ||
|- class="even" | |- class="even" | ||
| − | |''' | + | |'''CSCH(z)''' |
|'''Value(Radian)''' | |'''Value(Radian)''' | ||
|- class="odd" | |- class="odd" | ||
| − | | | + | | CSCH(0) |
| − | | | + | | Infinity |
|- class="even" | |- class="even" | ||
| − | | | + | | CSCH(7) |
| − | | | + | | 0.00182376 |
|- class="odd" | |- class="odd" | ||
| − | | | + | | CSCH(-2) |
| − | | | + | | 0.27572056 |
|} | |} | ||
Revision as of 00:24, 6 November 2013
CSCH(z)
- where z is any real number
Description
- This function gives the Hyperbolic Cosecant of 'z'.
- It's also called as Circular function.
- Here 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= sinh(z)^{-1}} ie, 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 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 -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 |