Arctan Calculator

Calculate the arctangent (inverse tangent) of a value.

Trigonometry

Formula

arctan(x) — for any real x

Returns the angle whose tangent is x. Result range: -90° to 90° (degrees) or -π/2 to π/2 (radians).

Result

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Calculation Breakdown

STEP-BY-STEP DETAILS

ParameterValue

Result—

About Arctan Calculator

The arctangent function (arctan or tan⁻¹) is the inverse of tangent. Unlike arcsin and arccos, it accepts any real number input, returning angles in (-90°, 90°).

ℹ️ About Arctan Calculator

Calculate the inverse tangent (arctan) of a value to find the angle. Returns angles in degrees and radians.

📋 How to Use

Enter the required values in the input fields.
Select the operation type if multiple options are available.
Click Calculate.
View the result and step-by-step breakdown.

🔢 Formula / Calculation Method

arctan(x) = angle whose tan is x

arctan(1) = 45°

👥 Who Uses It

Students solving math homework
Teachers creating lesson examples
Engineers and scientists
Finance professionals
Programmers and developers

📌 Practical Examples

Example 1

arctan(1) = 45°

Verification

Use the formula shown to manually verify the result.

Real World

Apply the result to your specific problem.

Study Aid

Practice with different input values to learn.

⭐ Benefits

🎯

Accurate

Mathematically precise results

⚡

Instant

No waiting for calculations

📋

Formula

Understand the math behind it

📱

Mobile

Works on any device

🆓

Free

No cost or registration

📊

Breakdown

Step-by-step where possible

💡 Tips

💡Double-check your input values before calculating.
💡Use the formula shown to understand how the result is derived.
💡For decimals, use a period (.) as the decimal separator.
💡Try different values to understand how the result changes.

❓ Frequently Asked Questions

How accurate is the result?

Results use JavaScript's 64-bit floating point — accurate to 15+ significant digits for most calculations.

Can I enter decimal numbers?

Yes, decimals are fully supported.

Is it free?

Yes, completely free.

Does it show the formula?

Yes, the formula is displayed on the page.

Can I use it on mobile?

Yes, the calculator is fully responsive.

Does it save my inputs?

No data is stored — all calculations are done locally in your browser.

What if I get an error?

Check for invalid inputs such as division by zero or negative square roots.

🔗 Related Calculators

🚀 Features

⚡

Instant Results

Calculate in seconds, no waiting

🎯

High Accuracy

Precise results every time

📱

Mobile Friendly

Works on any device or screen size

🔒

Privacy First

No data stored or shared

🌍

Works Worldwide

Available 24/7 from anywhere

🆓

100% Free

Always free, no registration needed

⚠️ Common Mistakes to Avoid

⚠️Entering values in the wrong fields.
⚠️Using commas instead of periods as decimal separators.
⚠️Dividing by zero — this is undefined.
⚠️Not selecting the correct mode (degrees vs radians for trig).

📢 Disclaimer

Results are provided for informational purposes only and should be verified before making important financial, academic, or engineering decisions.