Difference between revisions of "Manuals/calci/COSH"
Jump to navigation
Jump to search
| Line 5: | Line 5: | ||
*This function gives the hyperbolic Cos of 'z'. | *This function gives the hyperbolic Cos of 'z'. | ||
*Also it is called as Circular function. | *Also it is called as Circular function. | ||
| − | * Here <math>COSH=\frac{e^z+e^{-z}}{2}</math> or <math> | + | * Here <math>COSH(z)=\frac{e^z+e^{-z}}{2}</math> or <math>COS(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math> |
*Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)=Cos(hz)</math> & <math>Cosh(iz)= Cos(z)</math> | *Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)=Cos(hz)</math> & <math>Cosh(iz)= Cos(z)</math> | ||
*COSH(-z) = COSH(z) | *COSH(-z) = COSH(z) | ||
Revision as of 00:10, 7 November 2013
COSH(z)
- where z is any real number
Description
- This function gives the hyperbolic Cos of 'z'.
- Also it is 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 COSH(z)=\frac{e^z+e^{-z}}{2}} 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 COS(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}}
- 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 Cosh(iz)= Cos(z)}
- COSH(-z) = COSH(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(iz)= Cos(z)}
Examples
COSH(z)
- z is any real number.
| COSH(z) | Value(Radian) |
| COSH(0) | 1 |
| COSH(10) | 11013.232920103319 |
| COSH(7) | 548.3170352 |