cosh(-x)
The function cosh(x) represents the hyperbolic cosine of a number, where x is an input value
The function cosh(x) represents the hyperbolic cosine of a number, where x is an input value.
If we evaluate cosh(-x), it means we substitute -x into the function cosh(x). The notation cosh(-x) is equivalent to cosh(x), so the answer remains the same.
The hyperbolic cosine function is defined as:
cosh(x) = (e^x + e^(-x)) / 2
where e is Euler’s number (approximately 2.71828).
Therefore, cosh(-x) = (e^(-x) + e^(-(-x))) / 2 = (e^(-x) + e^x) / 2
This formula shows that cosh(-x) is equal to cosh(x), and it signifies an even function. In other words, the graph of cosh(-x) is symmetric with respect to the y-axis.
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