sinh(-x)
The sinh(-x) function represents the hyperbolic sine of a negative value, where “sinh” stands for hyperbolic sine and “x” is the input
The sinh(-x) function represents the hyperbolic sine of a negative value, where “sinh” stands for hyperbolic sine and “x” is the input.
To understand sinh(-x), we need to understand what hyperbolic functions are. Hyperbolic functions are analogs of trigonometric functions in the context of hyperbolas, just like how trigonometric functions are related to circles.
The hyperbolic sine function is defined as the ratio of the exponential function of a number (in this case, -x) to 2. Its formula is:
sinh(x) = (e^x – e^(-x))/2
Therefore, to find sinh(-x), we substitute -x into the formula:
sinh(-x) = (e^(-x) – e^(-(-x)))/2
= (e^(-x) – e^x)/2
It’s important to note that the hyperbolic sine function is an odd function, which means it is symmetric with respect to the origin. Therefore, sinh(-x) = -sinh(x).
So in conclusion, sinh(-x) can be calculated using the formula (e^(-x) – e^x)/2.
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