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Hyperbolic trigonometric functions
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Revision as of 13:30, December 9, 2008
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13:30, December 9, 2008
glaring error - or at least a typo :-
Line 5:
Line 5:
*Hyperbolic tangent: <math>tanh(x) = \frac{sinh(x)}{cosh(x)} = \frac{e^x - e^{-x}}{e^x + e^{-x}}</math>
*Hyperbolic tangent: <math>tanh(x) = \frac{sinh(x)}{cosh(x)} = \frac{e^x - e^{-x}}{e^x + e^{-x}}</math>
*Hyperbolic cosecant: <math>csch(x) = \frac{1}{sinh(x)} = \frac{2}{e^x - e^{-x}}</math>
*Hyperbolic cosecant: <math>csch(x) = \frac{1}{sinh(x)} = \frac{2}{e^x - e^{-x}}</math>
−
*Hyperbolic secant: <math>sech(x) = \frac{1}{
sinh
(x)} = \frac{2}{e^x + e^{-x}}</math>
+
*Hyperbolic secant: <math>sech(x) = \frac{1}{
cosh
(x)} = \frac{2}{e^x + e^{-x}}</math>
*Hyperbolic cotangent: <math>coth(x) = \frac{cosh(x)}{sinh(x)} = \frac{e^x + e^{-x}}{e^x - e^{-x}}</math>
*Hyperbolic cotangent: <math>coth(x) = \frac{cosh(x)}{sinh(x)} = \frac{e^x + e^{-x}}{e^x - e^{-x}}</math>
[[Category:Mathematics]]
[[Category:Mathematics]]
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