# ACOSH

Formulas / ACOSH
Calculate the inverse hyperbolic cosine of a number.
`ACOSH(number)`
• number - a real number greater than or equal to 1

## Examples

• `=ACOSH(1)`

The inverse hyperbolic cosine of 1 is 0. This is because the inverse hyperbolic cosine of a value is the angle whose hyperbolic cosine is equal to the original value. Since the hyperbolic cosine of 0 is 1, the inverse hyperbolic cosine of 1 must also be 0.

• `=ACOSH(10)`

The inverse hyperbolic cosine of 10 is 2.9932228. This is because the inverse hyperbolic cosine of a value is the angle whose hyperbolic cosine is equal to the original value. Since the hyperbolic cosine of 2.9932228 is 10, the inverse hyperbolic cosine of 10 must also be 2.9932228.

## Summary

The ACOSH function returns the inverse hyperbolic cosine of a number greater than or equal to 1. It calculates the opposite of the hyperbolic cosine, which is the value whose hyperbolic cosine is the input number.

• The ACOSH function takes a real number as its argument and calculates the inverse hyperbolic cosine of the number. The real number needs to be greater than or equal to 1.
• The inverse hyperbolic cosine equals the value with the hyperbolic cosine equal to the given number.
• The ACOSH function returns the same number when used with the COSH function. That is, ACOSH(COSH(number)) equals the number.

What is the ACOSH function?
The ACOSH function is a mathematical tool used to calculate the inverse hyperbolic cosine of a number. The argument is a real number that is greater than or equal to 1. The hyperbolic cosine is the value with the formula COSH(number).
How is the ACOSH function used?
The ACOSH function is used to get the inverse hyperbolic cosine of a real number. This is done by inputting the number into the function, which then returns the value of the inverse hyperbolic cosine.
What are the limits of the ACOSH function?
The ACOSH function can only be used to calculate the inverse hyperbolic cosine of a number that is greater than or equal to 1.
What is the formula for the ACOSH function?
The formula for the ACOSH function is COSH(number). 