COSH
TheCOSH
function returns the hyperbolic cosine of a given value. The hyperbolic cosine is defined as (e^{x} + e^{x}) / 2, where x is the given value. This function is most commonly used in mathematical calculations and modeling.
 How to use
COSH
formula?  Examples of using
COSH
formula COSH
formula not working? Similar formulas to
COSH
Usage
Use the COSH
formula with the syntax shown below, it has 1 required parameter:
 value (required):
The value for which to calculate the hyperbolic cosine. Must be a number or a reference to a cell containing a number.
Examples
Here are a few example use cases that explain how to use theCOSH
formula in Google Sheets.
Calculate the hyperbolic cosine of a value
To calculate the hyperbolic cosine of a value in a cell, use the formula =COSH(A1)
, where A1 is the cell containing the value.
Calculate the distance between two points in a hyperbolic space
To calculate the distance between two points in a hyperbolic space, use the formula =ACOSH(COSH(x1)*COSH(x2)SINH(x1)*SINH(x2)*COS(y1y2))
, where x1, x2, y1, and y2 are the coordinates of the two points in the hyperbolic space.
Calculate the rate of growth of a population
To calculate the rate of growth of a population, use the formula =LN(COSH(r*t))
, where r is the growth rate and t is the time period.
Common Mistakes
COSH
not working? Here are some common mistakes people make when using the COSH
Google Sheets Formula:
Incorrect argument type
The value provided must be a numeric value such as a number or a cell reference that contains a number. If a nonnumeric value is provided, an error will occur.
Incorrect argument format
The value provided must be in radians. If the value is in degrees, it must be converted to radians first. To convert degrees to radians, multiply the value by PI()/180 or use the RADIANS function.
Using COS instead of COSH
COS and COSH are different functions. Make sure to use COSH when you want to calculate the hyperbolic cosine.
Related Formulas
The following functions are similar to COSH
or are often used with it in a formula:

SINH
The
SINH
function returns the hyperbolic sine of any real number. The hyperbolic sine is a mathematical function that describes the shape of a hanging cable supported at its ends and acted upon by a uniform gravitational force. In Google Sheets, it is most commonly used in mathematical and statistical formulas. 
TANH
The
TANH
function returns the hyperbolic tangent of a value. It is commonly used in mathematical modeling, such as in statistics, physics, and engineering. 
ACOSH
The
ACOSH
function returns the inverse hyperbolic cosine of a number. In other words, it calculates the value whose hyperbolic cosine is the specified number. This function is useful for solving mathematical problems involving hyperbolic functions. 
ATANH
The
ATANH
function returns the inverse hyperbolic tangent of a value. It is commonly used in mathematical calculations involving hyperbolic functions.
Learn More
You can learn more about the COSH
Google Sheets function on Google Support.