The ASINH() function in SQLite calculates the inverse hyperbolic sine of a given numeric value. The result is the value whose hyperbolic sine is the specified number.

Syntax

ASINH(X)

Where X is the numeric value for which you want to calculate the inverse hyperbolic sine. This value can be any real number (positive, negative, or zero).

The result will be a real number representing the angle in hyperbolic space, in terms of radians.

Example 1

Here’s a quick example to demonstrate how it works:

SELECT ASINH(3);

Output:

1.81844645923207

Example 2

Suppose we have a table t1 with a column num containing various numeric values, and we want to find the inverse hyperbolic sine of each value.

CREATE TABLE t1 (num REAL);

INSERT INTO t1 (num) VALUES (0), (1), (-1), (2), (-2);

Now, we can use ASINH() to calculate the inverse hyperbolic sine for each value:

SELECT num, ASINH(num) AS inverse_hyperbolic_sine
FROM t1;

Output:

num   inverse_hyperbolic_sine
----  -----------------------
0.0   0.0                    
1.0   0.881373587019543      
-1.0  -0.881373587019543     
2.0   1.44363547517881       
-2.0  -1.44363547517881      

In this example:

• When num is 0, the result is 0 because the inverse hyperbolic sine of 0 is 0.
• For num values like 1 and 2, ASINH() returns the angle in hyperbolic space in radians.
• Negative values, such as -1 and -2, yield corresponding negative results.

The ASINH() function is particularly useful in mathematical and engineering applications where hyperbolic functions are involved, such as in physics and computational fields.