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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 =
need to be distributed around the columns. If a subsequent row has far more columns than the increased with the quantity
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These expressions are analogous into the expressions for sine and cosine, based on Euler's formula, as sums of intricate exponentials.
The perform cosh x has a Taylor sequence expression with only even exponents for x. Hence it is a fair perform, that is, symmetric with regard into see here the y-axis. The sum of the sinh and cosh collection could be the infinite collection expression in the exponential purpose.
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