ACOT function

PRO BASIC

The ACOT function in Jspreadsheet Formulas Pro calculates the inverse cotangent (also known as arccotangent) of a number. It returns the angle in radians whose cotangent equals the input value. For any real number x, ACOT(x) returns a value in the range (0, π). This function is essential in trigonometry, engineering calculations, physics simulations, and mathematical analysis where you need to find angles from cotangent ratios.

Documentation

Returns the arccotangent of a number, in radians.

Syntax

ACOT(x)

Parameter	Description
`x`	The value for which to return the arccotangent.

Behavior

The ACOT function calculates the inverse cotangent of a number. Here's how it generally behaves:

The function takes one argument, which is the numeric value whose arccotangent you want to compute.
If the argument is a cell reference, the function uses the value in the cell.
If the argument is a text string that can be interpreted as a number, the function uses the number.
If the argument is a text string that cannot be interpreted as a number, the function returns a #VALUE! error.
If the argument is a boolean, it is interpreted as 1 for TRUE and 0 for FALSE.
If the argument is an array or range, the function calculates the inverse cotangent for each value and returns an array of results.
If the argument is an empty cell, it is treated as 0.

Common Errors

Error	Description
#VALUE!	The input argument is non-numeric or a text string that cannot be interpreted as a number.
#NUM!	The input argument is outside the valid range for real number results.

Best practices

Always ensure that the input to the ACOT function is a numeric value. Non-numeric values will cause a #VALUE! error.

Remember that the ACOT function returns the result in radians. If you need the result in degrees, you must convert it using the DEGREES function.

The ACOT function returns values in the range (0, π) for any real input value. This makes it particularly useful for angle calculations in the first and second quadrants.

For more precise calculations, consider using more decimal places in your input values, as trigonometric functions can be sensitive to small variations.

When working with angles, remember that π radians equals 180 degrees. You can use this relationship to convert between the two units.

Usage

Here are some examples of using the ACOT function with different input values:

ACOT(1) returns 0.7853981634 (π/4 radians or 45 degrees)
ACOT(2) returns 0.4636476090 (approximately 26.57 degrees)
ACOT(-1) returns 2.356194490 (3π/4 radians or 135 degrees)
ACOT(0.5) returns 1.107148718 (approximately 63.43 degrees)

Note: Results are shown in radians. Use the DEGREES function to convert to degrees if 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: [
    [
        "X Value",
        "ACOT(X)",
        "Degrees"
    ],
    [
        1,
        "=ACOT(A2)",
        "=B2*180/PI()"
    ],
    [
        0,
        "=ACOT(A3)",
        "=B3*180/PI()"
    ],
    [
        -1,
        "=ACOT(A4)",
        "=B4*180/PI()"
    ],
    [
        2,
        "=ACOT(A5)",
        "=B5*180/PI()"
    ]
]
  }]
});
</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 = [
    [
        "X Value",
        "ACOT(X)",
        "Degrees"
    ],
    [
        1,
        "=ACOT(A2)",
        "=B2*180/PI()"
    ],
    [
        0,
        "=ACOT(A3)",
        "=B3*180/PI()"
    ],
    [
        -1,
        "=ACOT(A4)",
        "=B4*180/PI()"
    ],
    [
        2,
        "=ACOT(A5)",
        "=B5*180/PI()"
    ]
];

    // 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 = [
    [
        "X Value",
        "ACOT(X)",
        "Degrees"
    ],
    [
        1,
        "=ACOT(A2)",
        "=B2*180/PI()"
    ],
    [
        0,
        "=ACOT(A3)",
        "=B3*180/PI()"
    ],
    [
        -1,
        "=ACOT(A4)",
        "=B4*180/PI()"
    ],
    [
        2,
        "=ACOT(A5)",
        "=B5*180/PI()"
    ]
]

        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('YWZjY2JlMzMwZjE4Y2VjNDE3NWY1N2Q0ZjYzYWE4ZjYzMDYyOWIyNGE4MmMyYjUxNjhhMDExNGIzYjJkYWRlNmQ5OThjOThiYzdhNzFhOThmNzVjZDM4OGJlNzQwNzQwYjUyNDI4MmRiMjM4NGQwMmRlMTM5ZGVhMWUzZTQ2OTYsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVM01ETXdOVEU1TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

// 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: [
    [
        "X Value",
        "ACOT(X)",
        "Degrees"
    ],
    [
        1,
        "=ACOT(A2)",
        "=B2*180/PI()"
    ],
    [
        0,
        "=ACOT(A3)",
        "=B3*180/PI()"
    ],
    [
        -1,
        "=ACOT(A4)",
        "=B4*180/PI()"
    ],
    [
        2,
        "=ACOT(A5)",
        "=B5*180/PI()"
    ]
]
            }]
        });
    }
}

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