IMCSCH function

PRO BASIC

The IMCSCH formula in Jspreadsheet Formulas Pro is a mathematical function that operates on complex numbers. Essentially, it calculates the inverse hyperbolic cosecant of a given complex number. For those new to complex number operations, this function can be a useful tool in simplifying complex calculations. It is critical for advanced mathematical modelling and computations within the Jspreadsheet environment.

Documentation

Calculates the inverse hyperbolic cosecant of a complex number.

Syntax

IMCSCH(inumber)

Parameter	Description
`inumber`	The number for which you want to calculate the inverse hyperbolic cosecant.

Behavior

The IMCSCH function is used to return the inverse hyperbolic cosecant of a complex number in x+yi or x+yj text format.

If the cell is empty, the function will return a #NUM! error.
If the cell contains text that cannot be interpreted as a valid complex number, the function will return a #VALUE! error.
If the cell contains a boolean value, the function will treat TRUE as 1 and FALSE as 0.
If the cell contains a real number, IMCSCH will treat it as a complex number where the imaginary part is 0.

Common Errors

Error	Description
#NUM!	Occurs if the function is applied to an empty cell
#VALUE!	Occurs if the function is applied to a cell containing text that cannot be interpreted as a valid complex number

Best practices

Always ensure that the cell or range of cells being referenced contains valid complex numbers.

It is important to note that the function expects the complex number to be in x+yi or x+yj text format.

Use error handling functions like IFERROR to handle possible errors.

Since the function treats real numbers as complex numbers where the imaginary part is 0, be cautious when applying it to cells that might contain real numbers.

Usage

A few examples using the IMCSCH function.

IMCSCH("4+3i") returns approximately -0.036275889628626-0.0051744731840194i
IMCSCH(2) returns approximately 0.275720564771783
IMCSCH("1-2j") returns approximately -0.221500930850509+0.6354937992539j

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",
        "IMCSCH Result"
    ],
    [
        "4+3i",
        "=IMCSCH(A2)"
    ],
    [
        "2-5i",
        "=IMCSCH(A3)"
    ],
    [
        "1+i",
        "=IMCSCH(A4)"
    ],
    [
        "-3+2i",
        "=IMCSCH(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",
        "IMCSCH Result"
    ],
    [
        "4+3i",
        "=IMCSCH(A2)"
    ],
    [
        "2-5i",
        "=IMCSCH(A3)"
    ],
    [
        "1+i",
        "=IMCSCH(A4)"
    ],
    [
        "-3+2i",
        "=IMCSCH(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 = [
    [
        "Complex Number",
        "IMCSCH Result"
    ],
    [
        "4+3i",
        "=IMCSCH(A2)"
    ],
    [
        "2-5i",
        "=IMCSCH(A3)"
    ],
    [
        "1+i",
        "=IMCSCH(A4)"
    ],
    [
        "-3+2i",
        "=IMCSCH(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",
        "IMCSCH Result"
    ],
    [
        "4+3i",
        "=IMCSCH(A2)"
    ],
    [
        "2-5i",
        "=IMCSCH(A3)"
    ],
    [
        "1+i",
        "=IMCSCH(A4)"
    ],
    [
        "-3+2i",
        "=IMCSCH(A5)"
    ]
]
            }]
        });
    }
}

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