ACOSH
Formulas / ACOSHCalculate 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.
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