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{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=\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)=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 06:53, 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 ie, or , where is the imginary unit and
- Also relation between Hyperbolic & Trigonometric function is &
- TANH(-z)=-TANH(z)
ie, 
or 
, where 
is the imginary unit and 
& 
Examples
TANH(z)
- z is any real number.
| TANH(z) | Value(Radian) |
| TANH(0) | 0 |
| TANH(1) | 1.5574077246549023 |
| TANH(10) | 1 |