The best Side of cosh

These expressions are analogous towards the expressions for sine and cosine, dependant on Euler's formulation, as sums of advanced exponentials.

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e. the power sequence for your hyperbolic cosine functionality with common powers replaced by matrix powers) rather than the hyperbolic cosines of the individual matrix factors.

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coth ⁡ x = cosh ⁡ x sinh ⁡ x = e x + e − x e x − e − x = displaystyle coth x= frac cosh x sinh x = frac e^ x +e^ -x e^ x -e^ -x =

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tanh ⁡ x = sinh ⁡ x cosh ⁡ x = e x useful content − e − x e x + e − x = displaystyle tanh x= frac sinh x cosh x = frac e^ x -e^ -x e^ x +e^ -x =

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