ACOSH Function - Inverse Hyperbolic Cosine Calculator

PRO BASIC

The ACOSH function in Jspreadsheet Formulas Pro is an advanced mathematical tool for calculating inverse hyperbolic cosine values, essential for:

Scientific research and data analysis
Engineering calculations and modeling
Physics simulations and computations
Financial modeling with hyperbolic functions
Signal processing and analysis
Statistical computations
Quantum mechanics calculations

This function takes a number greater than or equal to 1 and returns its inverse hyperbolic cosine (area hyperbolic cosine). It's particularly valuable in fields where hyperbolic functions model natural phenomena, such as:

Catenary curves in architecture and engineering
Relativistic physics calculations
Signal analysis in telecommunications
Growth models in population dynamics
Heat transfer calculations
Electrical circuit analysis

Documentation

Returns the inverse hyperbolic cosine of a number.

Syntax

ACOSH(x)

Parameter	Description
`x`	The value for which to return the inverse hyperbolic cosine. Must be greater than or equal to 1.

Behavior

The ACOSH function handles different input types as follows:

Numbers (≥ 1): Returns the inverse hyperbolic cosine value Example: ACOSH(1) returns 0 Example: ACOSH(2) returns approximately 1.3169579
Numbers (< 1): Returns #NUM! error Example: ACOSH(0.5) returns #NUM!
Empty cells: Returns #NUM! error
Text values: Returns #VALUE! error Example: ACOSH("text") returns #VALUE!
Boolean values:
- TRUE (interpreted as 1): Returns 0
- FALSE (interpreted as 0): Returns #NUM! error
Error values: Returns the same error value

Common Errors

Error	Description
#VALUE!	This error is returned when the input value is non-numeric or the cell contains text.
#NUM!	This error is returned when the numeric value is less than 1 or the cell is empty.

Best practices

Always ensure that the input value for the 'ACOSH' function is a number and it is equal to or greater than 1. If the value is less than 1, the function will return a #NUM! error.

Avoid referencing cells that might contain non-numeric values to prevent a #VALUE! error.

Use error handling functions like IFERROR or ISNUMBER to handle possible errors and keep your data clean and professional-looking.

Always double-check the references in your function to ensure they're pointing to the correct cells.

Usage

Basic examples of the ACOSH function:

ACOSH(1)     returns 0                  // Minimum valid input
ACOSH(2)     returns 1.316957897        // Common use case
ACOSH(10)    returns 2.993222846        // Larger value
ACOSH(1.5)   returns 0.962423650        // Decimal input
ACOSH(100)   returns 5.298292366        // Large value

Common use cases:

Scientific calculations involving hyperbolic functions
Engineering computations
Statistical analysis
Financial modeling where hyperbolic functions are needed

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Value",
        "ACOSH Result"
    ],
    [
        1,
        "=ACOSH(A2)"
    ],
    [
        2.5,
        "=ACOSH(A3)"
    ],
    [
        5,
        "=ACOSH(A4)"
    ],
    [
        10,
        "=ACOSH(A5)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Value",
        "ACOSH Result"
    ],
    [
        1,
        "=ACOSH(A2)"
    ],
    [
        2.5,
        "=ACOSH(A3)"
    ],
    [
        5,
        "=ACOSH(A4)"
    ],
    [
        10,
        "=ACOSH(A5)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Value",
        "ACOSH Result"
    ],
    [
        1,
        "=ACOSH(A2)"
    ],
    [
        2.5,
        "=ACOSH(A3)"
    ],
    [
        5,
        "=ACOSH(A4)"
    ],
    [
        10,
        "=ACOSH(A5)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('NWU3NTg0MmM3OTBhNmExYzExNTMxZjM0MWY4ZDliNGZmYmVhNTQ5ZDdhNjM5NjVhNzMzYTkwNWIyMWIxZGRjOGExZDUyNjJmMTkzODAwZjEyMjZkMDFjMmRmNDRiY2ZmZWZlYzk4MWZkODVjNTllMWFkYWYxYzQ5YWExZWJmYzYsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVM01ETXhORFEyTENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Value",
        "ACOSH Result"
    ],
    [
        1,
        "=ACOSH(A2)"
    ],
    [
        2.5,
        "=ACOSH(A3)"
    ],
    [
        5,
        "=ACOSH(A4)"
    ],
    [
        10,
        "=ACOSH(A5)"
    ]
]
            }]
        });
    }
}

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