IMCSC function

PRO BASIC

The IMCSC function in Jspreadsheet Formulas Pro is used to calculate the cosecant of a complex number. This can be particularly useful in advanced mathematics or engineering calculations. You simply input the complex number you wish to calculate the cosecant for, and the function will return the result. It is a straightforward and efficient tool for handling complex numbers in your calculations.

Documentation

Calculates the cosecant of a complex number.

Syntax

IMCSC(x)

Parameter	Description
`x`	The complex number in x+yi or x+yj text format for which you want to calculate the cosecant.

Behavior

The IMCSC function computes the cosecant of a complex number. The function takes a single argument, which is the complex number for which the cosecant is to be calculated. Here is a breakdown of how it handles different types of inputs:

Numbers: The function accepts both real and complex numbers. For real numbers, the function treats them as complex numbers with an imaginary part equal to 0.
Text: If the text can be interpreted as a complex number, the function will calculate its cosecant. Otherwise, the function will return an error.
Boolean values: Boolean values are interpreted as numbers before the calculation is made. TRUE is interpreted as 1 and FALSE as 0.
Empty cells: If the function's argument is an empty cell, it will return an error.
Errors: If the argument of the function contains a cell with an error, the function will return that error.

Common Errors

Error	Description
#VALUE!	This error is returned if the input cannot be interpreted as a complex number. For example, if the input is a string that does not represent a complex number.
#NUM!	This error is returned if the argument is a number but is not a valid complex number.
#DIV/0!	This error is returned if the function attempts to divide by zero, which can occur if the input is a complex number where both the real and imaginary parts are zero.

Best practices

Always ensure that the input to the IMCSC function is a valid complex number. You can use the IMCONJUGATE, IMABS, IMARG, IMREAL, and IMIMAGINARY functions to create and manipulate complex numbers.

Be aware that the IMCSC function can return a complex number as a result. Ensure that your spreadsheet is set up to handle complex numbers in subsequent calculations.

Handle errors gracefully using error-checking functions like IFERROR or ISERROR. This will allow your spreadsheet to continue functioning even if the IMCSC function encounters an invalid input.

Try to avoid using boolean values or empty cells as inputs to the IMCSC function to prevent unexpected results or errors.

Usage

A few examples using the IMCSC function.

IMCSC("2+3i") returns approximately 0.0904+0.0412i  
IMCSC("1-2i") returns approximately 0.2284+0.1414i
IMCSC(2) returns approximately 1.09975  
IMCSC("0+1j") returns approximately -0.8509j

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('OTRmMjY5ZWE0YzhhMGM3ZDM3NjUzYTUyY2RmYmFiNjI2OWQ5YTVjZTJkZTMxZDY0MjQwZTM2NjU4YTNjY2ZmNDMyODJmMDcxOThkNDNjZmY1ZmZjMmYzMjg1MWJjM2VjOTVkODdlODA2NjQ5MzgxY2I1MWIxNWY2Njc2NTJmY2EsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVM01ETXdOakV5TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

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

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Complex Number",
        "Cosecant"
    ],
    [
        "2+3i",
        "=IMCSC(A2)"
    ],
    [
        "1+2i",
        "=IMCSC(A3)"
    ],
    [
        "-1+i",
        "=IMCSC(A4)"
    ],
    [
        "3-2i",
        "=IMCSC(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",
        "Cosecant"
    ],
    [
        "2+3i",
        "=IMCSC(A2)"
    ],
    [
        "1+2i",
        "=IMCSC(A3)"
    ],
    [
        "-1+i",
        "=IMCSC(A4)"
    ],
    [
        "3-2i",
        "=IMCSC(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",
        "Cosecant"
    ],
    [
        "2+3i",
        "=IMCSC(A2)"
    ],
    [
        "1+2i",
        "=IMCSC(A3)"
    ],
    [
        "-1+i",
        "=IMCSC(A4)"
    ],
    [
        "3-2i",
        "=IMCSC(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",
        "Cosecant"
    ],
    [
        "2+3i",
        "=IMCSC(A2)"
    ],
    [
        "1+2i",
        "=IMCSC(A3)"
    ],
    [
        "-1+i",
        "=IMCSC(A4)"
    ],
    [
        "3-2i",
        "=IMCSC(A5)"
    ]
]
            }]
        });
    }
}

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