Inverse Cotangent Calculator

Quickly find inverse cotangent values in degrees or radians. Simple tool that gives accurate results every single time.

Example Data Table

x Inverse Cotangent (rad) Inverse Cotangent (deg)
1 0.78539816339745 45
0 1.5707963267949 90
2 0.46364760900081 26.565051177078

Formula Used

The inverse cotangent is calculated using the formula:
cot⁻¹(x) = arctan(1/x) for x ≠ 0.
For x = 0, cot⁻¹(0) = π/2 radians or 90°.

How to Use This Calculator

1. Enter any real number in the input field labeled "Enter Value".
2. Press the "Calculate" button.
3. View the result above the form in both radians and degrees.
4. Optionally download results in CSV or PDF format.

Article: Understanding Inverse Cotangent

The inverse cotangent, also written as cot⁻¹(x), is the angle whose cotangent equals x. It is widely used in trigonometry, geometry, and calculus. Unlike arctangent, it has a unique behavior at zero. The cotangent function is the reciprocal of tangent, which means cot(x) = 1/tan(x). Therefore, cot⁻¹(x) can be calculated using arctangent formula arctan(1/x). This calculator allows for quick computation without manual work. It works for positive, negative, and zero values. Results are shown in both degrees and radians for convenience. The example data table demonstrates typical values for quick reference. This is helpful for students and professionals alike. Downloading in CSV or PDF enables sharing and record keeping. The tool is simple, fast, and accurate for any real number.

FAQs

Q1: Can this calculator handle negative values?

A1: Yes, it calculates inverse cotangent for positive, negative, and zero values.

Q2: Are results accurate in radians and degrees?

A2: Yes, both radians and degrees results are precise to standard floating-point accuracy.

Q3: How is cot⁻¹(0) calculated?

A3: By definition, cot⁻¹(0) = π/2 radians or 90 degrees.

Q4: Can I download results?

A4: Yes, you can download calculated results in CSV or PDF format using the buttons.

Q5: What formula is used for calculation?

A5: The formula used is cot⁻¹(x) = arctan(1/x) for x ≠ 0, and π/2 for x = 0.

Q6: Is this tool suitable for students?

A6: Yes, it is very suitable for students learning trigonometry and inverse functions.

Q7: Does it work on mobile devices?

A7: Yes, it uses a responsive layout with single-column view for mobile devices.

Q8: Can I see example values?

A8: Yes, the example data table shows common values like 0, 1, and 2 with radians and degrees.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.