Sinh Function and Its Application | Exploring the Hyperbolic Sine Function and Its Representation

sinh(2x)

In mathematics, the sinh function stands for the hyperbolic sine function

In mathematics, the sinh function stands for the hyperbolic sine function. It is defined as:

sinh(x) = (exp(x) – exp(-x)) / 2.

Now, when we have sinh(2x), it means we are substituting 2x in place of x in the formula for sinh(x). Therefore, we get:

sinh(2x) = (exp(2x) – exp(-2x)) / 2.

Here, “exp” stands for the exponential function (e^x), and it represents raising the mathematical constant e (approximately 2.71828) to the power of x.

So, the expression sinh(2x) gives the value obtained by taking the difference between e raised to the power of 2x and e raised to the power of -2x and dividing the result by 2.

If you have any additional questions or need further clarification, feel free to ask!

More Answers:
Exploring the Symmetry of the Hyperbolic Cosine Function | cosh(-x) = cosh(x) (Math Explanation)
Simplifying the Expression cosh^2(x) – sinh^2(x) | The Definition and Calculation of Hyperbolic Trigonometric Functions
Sinh Function and Its Application | Exploring the Hyperbolic Sine Function and Its Representation

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