Difference between revisions of "Hyperbolic trig functions"
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The Hyperbolic trig functions can be thought of the classical trig functions except found on an unit hyperbola. There are as follows: | The Hyperbolic trig functions can be thought of the classical trig functions except found on an unit hyperbola. There are as follows: | ||
| − | <math>e^x+e^{-x}</math> | + | <math>\sinh{x}=\frac{e^x+e^{-x}}{2}</math> |
| + | |||
| + | <math>\cosh{x}=\frac{e^x-e^{-x}}{2}</math> | ||
| + | |||
| + | <math>\tanh{x}= \frac{\sinh{x}}{\cosh{x}} =\frac{e^x+e^{-x}}{e^x-e^{-x}}</math> | ||
| + | |||
| + | Also: | ||
| + | |||
| + | <math>\sinh{x}= -i\sin{ix} | ||
| + | |||
| + | </math>\cosh{x}=\cos{iz} | ||
| + | |||
| + | <math>\tanh{x}= -1\tan{iz}</math> | ||
{{stub}} | {{stub}} | ||
Revision as of 22:32, 22 May 2013
The Hyperbolic trig functions can be thought of the classical trig functions except found on an unit hyperbola. There are as follows:
Also:
\cosh{x}=\cos{iz}
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