IMCOSH function

PRO BASIC

The IMCOSH function in Jspreadsheet Formulas Pro is a tool that calculates the hyperbolic cosine of a complex number. This mathematical operation is often used in advanced scientific or engineering calculations. Using this function, you just need to provide a complex number, and it will return the hyperbolic cosine of that number. This allows for more complex mathematical operations to be performed within your spreadsheet.

Documentation

The IMCOSH function is used to return the hyperbolic cosine of a complex number.

Syntax

IMCOSH(inumber)

Parameter	Description
`inumber`	The complex number for which to find the hyperbolic cosine.

Behavior

The IMCOSH function is used to return the hyperbolic cosine of a complex number in x + yi or x + yj text format. Here's how it handles various inputs:

Empty cells: If the cell is empty, the IMCOSH function will return an error because it requires a complex number as an input.
Text: If the input is a text value that doesn't represent a complex number, IMCOSH will return an error.
Booleans: Boolean values are not valid inputs for the IMCOSH function. If a boolean value is provided, the function will return an error.
Numbers: The function can handle real numbers, treating them as complex numbers with an imaginary part of 0.
Errors: If the input is an error, IMCOSH will also return that error.

Common Errors

Error	Description
#VALUE!	This error occurs when the input value is not a complex number in x + yi or x + yj text format.
#NUM!	This error is returned when the real part of the complex number is too large to calculate the hyperbolic cosine.
#DIV/0!	This error is returned when the denominator in the calculation becomes zero.

Best practices

Always ensure that your input is a valid complex number in x + yi or x + yj text format.

The IMCOSH function is primarily intended for complex numbers but will also handle real numbers by assuming an imaginary part of 0.

Be aware that the IMCOSH function can handle very large numbers, but there's a limit. If the real part of the complex number is too large, the function will return a #NUM! error.

Handle errors properly. If the function returns an error, check your input to ensure it's in the correct format.

Usage

A few examples using the IMCOSH function.

IMCOSH("2+3i") returns approximately -3.72454550491532+0.511822569987385i
IMCOSH("4-2i") returns approximately -11.3642347064011-24.8146514856342i
IMCOSH("3+0j") returns approximately 10.0676619957778

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: [
    [
        "Complex Number",
        "Hyperbolic Cosine"
    ],
    [
        "2+3i",
        "=IMCOSH(A2)"
    ],
    [
        "1+2i",
        "=IMCOSH(A3)"
    ],
    [
        "-1+i",
        "=IMCOSH(A4)"
    ],
    [
        "3-2i",
        "=IMCOSH(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 = [
    [
        "Complex Number",
        "Hyperbolic Cosine"
    ],
    [
        "2+3i",
        "=IMCOSH(A2)"
    ],
    [
        "1+2i",
        "=IMCOSH(A3)"
    ],
    [
        "-1+i",
        "=IMCOSH(A4)"
    ],
    [
        "3-2i",
        "=IMCOSH(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('ZGUxOTBhYzc4ZDAyZGM5ODYzMzI5Nzg4OTQ3YmEyZGQyMTJiNWEyYzUyODhiNjFlNmQ2MmJlZmFhZDkzNjdkYmU0YWVhYTU2MGI3ZmExNGEwNjYxNzhjZTg3YjkyYTMxNjIxOTRkNGU1ZTJjODU3NDU4YmRkMWQzNWY3MzdjYzMsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVM01ETXdPREEwTENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

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

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Complex Number",
        "Hyperbolic Cosine"
    ],
    [
        "2+3i",
        "=IMCOSH(A2)"
    ],
    [
        "1+2i",
        "=IMCOSH(A3)"
    ],
    [
        "-1+i",
        "=IMCOSH(A4)"
    ],
    [
        "3-2i",
        "=IMCOSH(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('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');

// 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: [
    [
        "Complex Number",
        "Hyperbolic Cosine"
    ],
    [
        "2+3i",
        "=IMCOSH(A2)"
    ],
    [
        "1+2i",
        "=IMCOSH(A3)"
    ],
    [
        "-1+i",
        "=IMCOSH(A4)"
    ],
    [
        "3-2i",
        "=IMCOSH(A5)"
    ]
]
            }]
        });
    }
}

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