88 lines
1.8 KiB
Markdown
88 lines
1.8 KiB
Markdown
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# acoth
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> Compute the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a number.
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<section class="usage">
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## Usage
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```javascript
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var acoth = require( '@stdlib/math/base/special/acoth' );
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```
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#### acoth( x )
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Computes the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a `number` (in radians).
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```javascript
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var v = acoth( 2.0 );
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// returns ~0.5493
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v = acoth( 1.0 );
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// returns Infinity
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```
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The domain of the inverse hyperbolic cotangent is the union of the intervals `(-inf,-1]` and `[1,inf)`. If provided a value on the open interval `(-1,1)`, the function returns `NaN`.
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```javascript
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var v = acoth( 0.0 );
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// returns NaN
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v = acoth( 0.5 );
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// returns NaN
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var linspace = require( '@stdlib/array/linspace' );
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var acoth = require( '@stdlib/math/base/special/acoth' );
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var x = linspace( 1.0, 5.0, 100 );
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var i;
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for ( i = 0; i < x.length; i++ ) {
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console.log( acoth( x[ i ] ) );
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}
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[hyperbolic-arctangent]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function
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</section>
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<!-- /.links -->
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