Difference between revisions of "Manuals/calci/TANH"
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*This function gives the hyperbolic tan of 'z'. | *This function gives the hyperbolic tan of 'z'. | ||
*Also it is called as Circular function. | *Also it is called as Circular function. | ||
| − | * Here <math>TANH=\frac | + | * Here <math>TANH=\frac{e^z-e^-z}{e^z+e^-z}</math> or <math>-iTAN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math> |
*Also relation between Hyperbolic & Trigonometric function is <math>Tan(iz)=iTan(hz)</math> & <math>Tanh(iz)= iTan(z)</math> | *Also relation between Hyperbolic & Trigonometric function is <math>Tan(iz)=iTan(hz)</math> & <math>Tanh(iz)= iTan(z)</math> | ||
*TANH(-z)=-TANH(z) | *TANH(-z)=-TANH(z) | ||
Revision as of 00:39, 5 November 2013
TANH(z)
- where z is any real number
Description
- This function gives the hyperbolic tan 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 TANH=\frac{e^z-e^-z}{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 -iTAN(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 imginary 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 Tan(iz)=iTan(hz)} & 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(iz)= iTan(z)}
- TANH(-z)=-TANH(z)
Examples
SINH(z)
- z is any real number.
| SINH(z) | Value(Radian) |
| SINH(0) | 0 |
| SINH(10) | 11013.23287 |
| SINH(-3) | -10.0178749274099 |