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'. | ||
| − | * | + | *It is also called as Circular function. |
| − | *Here <math>TANH=\frac{e^z-e^{-z}}{e^z+e^{-z}}</math> ie, <math>\frac{SINH(z)} {COSH(z)}</math> or <math>-iTAN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math> | + | *Here <math>TANH(z)=\frac{e^z-e^{-z}}{e^z+e^{-z}}</math> ie, <math>\frac{SINH(z)} {COSH(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)= | + | *Also relation between Hyperbolic & Trigonometric function is <math>Tan(iz)=iTanh(z)</math> & <math>Tanh(iz)= iTan(z)</math> |
*TANH(-z)=-TANH(z) | *TANH(-z)=-TANH(z) | ||
Revision as of 00:23, 7 November 2013
TANH(z)
- where z is any real number
Description
- This function gives the hyperbolic Tan of 'z'.
- It is 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 TANH(z)=\frac{e^z-e^{-z}}{e^z+e^{-z}}} 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{SINH(z)} {COSH(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)=iTanh(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(iz)= iTan(z)}
- TANH(-z)=-TANH(z)
Examples
TANH(z)
- z is any real number.
| TANH(z) | Value(Radian) |
| TANH(0) | 0 |
| TANH(1) | 1.5574077246549023 |
| TANH(10) | 1 |