Compute the hyperbolic cotangent of a number.
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> Compute the [hyperbolic cotangent][hyperbolic-functions] of a number.
``bash`
npm install @stdlib/math-base-special-coth
`javascript`
var coth = require( '@stdlib/math-base-special-coth' );
#### coth( x )
Computes the [hyperbolic cotangent][hyperbolic-functions] of x.
`javascript
var v = coth( 0.0 );
// returns Infinity
v = coth( 2.0 );
// returns ~1.0373
v = coth( -2.0 );
// returns ~-1.0373
v = coth( NaN );
// returns NaN
`
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var coth = require( '@stdlib/math-base-special-coth' );
var opts = {
'dtype': 'float64'
};
var x = uniform( 100, -10.0, 10.0, opts );
logEachMap( 'coth(%0.4f) = %0.4f', x, coth );
`
*
`c`
#include "stdlib/math/base/special/coth.h"
#### stdlib_base_coth( x )
Computes the [hyperbolic cotangent][hyperbolic-functions] of double-precision floating-point number x.
`c
double out = stdlib_base_coth( 2.0 );
// returns ~1.0373
out = stdlib_base_coth( -2.0 );
// returns ~-1.0373
`
The function accepts the following arguments:
- x: [in] double input value.
`c`
double stdlib_base_coth( const double x );
`c
#include "stdlib/math/base/special/coth.h"
#include
int main( void ) {
const double x[] = { -4.0, -3.11, -2.22, -1.33, -0.44, 0.44, 1.33, 2.22, 3.11, 4.0 };
double v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_coth( x[ i ] );
printf( "coth(%lf) = %lf\n", x[ i ], v );
}
}
`
*
- [@stdlib/math-base/special/acoth][@stdlib/math/base/special/acoth]: compute the inverse hyperbolic cotangent.
- [@stdlib/math-base/special/cot][@stdlib/math/base/special/cot]: evaluate the cotangent of a number.
- [@stdlib/math-base/special/csch][@stdlib/math/base/special/csch]: compute the hyperbolic cosecant of a number.
- [@stdlib/math-base/special/tanh][@stdlib/math/base/special/tanh]: compute the hyperbolic tangent of a double-precision floating-point number.
*
This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].
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---
See [LICENSE][stdlib-license].
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[stdlib]: https://github.com/stdlib-js/stdlib
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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/math-base-special-coth/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-coth/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-coth/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-coth/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-coth/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-coth/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-coth/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-coth/main/LICENSE
[hyperbolic-functions]: https://en.wikipedia.org/wiki/Hyperbolic_functions
[@stdlib/math/base/special/acoth]: https://www.npmjs.com/package/@stdlib/math-base-special-acoth
[@stdlib/math/base/special/cot]: https://www.npmjs.com/package/@stdlib/math-base-special-cot
[@stdlib/math/base/special/csch]: https://www.npmjs.com/package/@stdlib/math-base-special-csch
[@stdlib/math/base/special/tanh]: https://www.npmjs.com/package/@stdlib/math-base-special-tanh