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mathjs/docs/reference/functions/asech.md

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1<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
2
3# Function asech
4
5Calculate the hyperbolic arcsecant of a value,
6defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`.
7
8For matrices, the function is evaluated element wise.
9
10
11## Syntax
12
13```js
14math.asech(x)
15```
16
17### Parameters
18
19Parameter | Type | Description
20--------- | ---- | -----------
21`x` | number &#124; Complex &#124; Array &#124; Matrix | Function input
22
23### Returns
24
25Type | Description
26---- | -----------
27number &#124; Complex &#124; Array &#124; Matrix | Hyperbolic arcsecant of x
28
29
30## Examples
31
32```js
33math.asech(0.5)       // returns 1.3169578969248166
34```
35
36
37## See also
38
39[acsch](acsch.md),
40[acoth](acoth.md)

1	`<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->`
2
3	`# Function asech`
4
5	`Calculate the hyperbolic arcsecant of a value,`
6	defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`.
7
8	`For matrices, the function is evaluated element wise.`
9
10
11	`## Syntax`
12
13	```js
14	`math.asech(x)`
15	```
16
17	`### Parameters`
18
19	`Parameter \| Type \| Description`
20	`--------- \| ---- \| -----------`
21	`x` \| number \| Complex \| Array \| Matrix \| Function input
22
23	`### Returns`
24
25	`Type \| Description`
26	`---- \| -----------`
27	`number \| Complex \| Array \| Matrix \| Hyperbolic arcsecant of x`
28
29
30	`## Examples`
31
32	```js
33	`math.asech(0.5) // returns 1.3169578969248166`
34	```
35
36
37	`## See also`
38
39	`[acsch](acsch.md),`
40	`[acoth](acoth.md)`