Как се използва функцията COSH в Excel
The COSH function is used to calculate the hyperbolic cosine of a given number. It is available in both Microsoft Excel and Google Sheets among the general mathematical functions. Understanding and using the COSH function can be beneficial in various fields, from engineering to finance.
Syntax of the COSH Function
The basic syntax for the COSH function is as follows:
COSH(number)
The „number“ argument is the angle for which the hyperbolic cosine is to be calculated, expressed in radians.
Example Usage:
=COSH(1)
The example above calculates the hyperbolic cosine of an angle of 1 radian. You can observe the result by using this formula in Excel or Google Sheets.
Practical Applications
Hyperbolic functions can be utilized particularly in hyperbolic geometry, wave equations, and other mathematical modeling. Here are two practical applications where the COSH function can be used:
1. Displacement Calculation in Mechanical Waves
In mechanical waves, an object“s displacement can be modeled using time-varying hyperbolic functions. For instance, if the displacement y is given by the formula y = cosh(x), where x represents time:
Displacement = COSH(time)
For example, to calculate the displacement at 2 seconds, you would use:
=COSH(2)
This command will calculate the displacement value.
2. Use in Financial Analysis
In analyses of the time value of money, hyperbolic functions can sometimes be helpful in calculating the present value of future cash flows. If the growth rate of these flows shows a hyperbolic change over time, the COSH function can be very useful.
Future Value = Principal * COSH(Interest Rate * Time)
For example, to calculate how much a principal of 1000 units will amount to in 3 years at an interest rate of 5%, you would use:
=1000 * COSH(0.05 * 3)
This formula can represent a model of hyperbolic growth for the principal amount.
The COSH function is just a small part of a wide array of mathematical functions available in Excel and Google Sheets, yet it can be incredibly useful in scientific, engineering, and financial computations. These practical applications demonstrate the broad utility of the function.
Повече информация: https://support.microsoft.com/bg-bg/office/cosh-функция-e460d426-c471-43e8-9540-a57ff3b70555