Difference between revisions of "Manuals/calci/COTH"
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| + | ==Related Videos== | ||
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| + | {{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic COT}} | ||
==See Also== | ==See Also== | ||
Revision as of 13:53, 21 May 2015
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 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 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 |