ACOSH

Description

The ACOSH function is used to calculate the inverse hyperbolic cosine of a given value. This function accepts a DOUBLE type parameter and returns a DOUBLE type numerical result.

Syntax

ACOSH(expr)

Parameters

  • expr: The DOUBLE type value for which the inverse hyperbolic cosine needs to be calculated.

Return Value

Returns the inverse hyperbolic cosine of the parameter expr, with the result type being DOUBLE.

Example Usage

  1. Calculate the inverse hyperbolic cosine of 2:
SELECT ACOSH(2); -- The result is approximately 1.3169578969248166
  1. Calculate the inverse hyperbolic cosine of 1 (the result is 0, because 1 is the minimum value for the ACOSH function):
SELECT ACOSH(1); -- The result is 0.0
  1. Calculate the inverse hyperbolic cosine of a decimal value close to 0:
SELECT ACOSH(0.0001); -- 结果约为 NaN
  1. Calculate the inverse hyperbolic cosine of a negative number (result is NaN because the ACOSH function only accepts positive number arguments):
SELECT ACOSH(-1); -- The result is NaN
  1. Calculate the inverse hyperbolic cosine of multiple values in a query:
SELECT ACOSH(2.5), ACOSH(3.7), ACOSH(0.5); -- The results are approximately 1.566799236972411, 1.9826969446812033, and NaN respectively

Notes

  • The ACOSH function only accepts positive number parameters. If a negative number or zero is passed, it will return NaN (Not a Number).
  • When the parameter value is close to 0, the inverse hyperbolic cosine value becomes very large. In practical applications, attention should be paid to the issue of numerical overflow.
  • The ACOSH function and the COSH function are inverse operations of each other. The COSH function is used to calculate the hyperbolic cosine value, while the ACOSH function is used to calculate its inverse operation result.