Math function acosh() to return inverse hyperbolic sine of a input in PHP

Calculate inverse hyperbolic cosine

acosh() returns the inverse hyperbolic cosine of a value. Real-valued input should be 1 or greater.

echo acosh(1); // 0

Start with this current pattern. The examples below are retained for additional variations, output and reference.

<?Php
echo acosh(6); // Output 2.4778887302885
echo "<br>";
echo acosh(2.5); // Output 1.5667992369724
echo "<br>";
echo acosh(0); // Output NAN
echo "<br>";
echo acosh(2); // Output 1.3169578969248
echo "<br>";
echo acosh(-2.5); // Output NAN
echo "<br>";
echo acosh(-4); // Output NAN
?>

Syntax

acosh(float X);

X is the input acosh returns an EDOM error if called with an argument less than 1.0

DEMO of acosh()

Example 2: Calculating Inverse Hyperbolic Cosine for a Larger Value

The acosh() function can be used to find the inverse hyperbolic cosine for values greater than or equal to 1:

$value = 10;
$result = acosh($value);
echo "The acosh of $value is: " . $result; 
// Outputs: The acosh of 10 is: 2.99322284612638

Example 3: Using acosh() in Mathematical Operations

You can use acosh() in more complex mathematical expressions:

$value = 20;
$result = pow(acosh($value), 2) + sqrt($value);
echo $result;

Questions

What does the `acosh()` function in PHP do?
What is the purpose of the `acosh()` function in PHP?
How is the `acosh()` function used to calculate the inverse hyperbolic cosine of a number?
What is the range of values returned by the `acosh()` function in PHP?
Can the `acosh()` function be used with both positive and negative numbers?
What happens if you pass an invalid argument to the `acosh()` function?
How can you use the `acosh()` function to calculate the hyperbolic cosine given the value of the inverse hyperbolic cosine?
Are there any alternative ways to calculate the inverse hyperbolic cosine in PHP besides using the `acosh()` function?
Can the `acosh()` function return a complex number?
What type of value does the `acosh()` function return: integer, float, or something else?

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Subhendu Mohapatra

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acosh():inverse hyperbolic cosine